Navigation

  • Skip to Content
NTNU Home

ntnu.edu

  • Studies
    • Master's programmes in English
    • For exchange students
    • PhD opportunities
    • All programmes of study
    • Courses
    • Financing
    • Language requirements
    • Application process
    • Academic calendar
    • FAQ
  • Research and innovation
    • NTNU research
    • Research excellence
    • Strategic research areas
    • Innovation resources
    • PhD opportunities
  • Life and housing
    • Student in Trondheim
    • Student in Gjøvik
    • Student in Ålesund
    • For researchers
    • Life and housing
  • About NTNU
    • Contact us
    • Faculties and departments
    • Libraries
    • International researcher support
    • Vacancies
    • About NTNU
    • Maps
  1. Employees

Språkvelger

Norsk

Knut-Andreas Lie

Knut-Andreas Lie

Professor
Department of Mathematical Sciences
Faculty of Information Technology and Electrical Engineering

knut-andreas.lie@sintef.no
+4793058721 Forskningsveien 1, 0373 Oslo
Personal webpage My research group at SINTEF
About Publications Media

About

I am mainly working with computational method for the geosciences (reservoir simulation, CO2 storage, surface water, etc), but generally interested in applied mathematics and scientific computing. Much of my time is spent developing open-source software.

My main duties at NTNU are to supervise master and doctoral students. Please do not hesitate if you are interested in supervision or research collaboration.

 

Competencies

  • Applied mathematics

Publications

  • Chronological
  • By category
  • See all publications in Cristin

2022

  • Kvamsdal, Trond; Mathisen, Kjell Magne; Lie, Knut-Andreas; Larson, Mats G.. (2022) 8th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2022). European Community on Computional Methods in Applied Sciences (ECCOMAS). 2022. ISBN 9788412322286.
    Academic anthology/Conference proceedings
  • Lie, Knut-Andreas; Krogstad, Stein. (2022) Comparison of two different types of reduced graph-based reservoir models: Interwell networks (GPSNet) versus aggregated coarse-grid networks (CGNet). Journal of Petroleum Science and Engineering. volum 221.
    Academic article
  • Lie, Knut-Andreas; Krogstad, Stein. (2022) Data-Driven Modelling with Coarse-Grid Network Models. Proceedings of the European Conference on the Mathematics of Geological Reservoirs (ECMOR 2022).
    Academic chapter/article/Conference paper
  • Møyner, Olav; Rasmussen, Atgeirr Flø; Klemetsdal, Øystein; Nilsen, Halvor Møll; Arthur, Moncorgé; Lie, Knut-Andreas. (2022) Nonlinear Domain Decomposition Preconditioning for Robust and Efficient Field-Scale Simulation of Subsurface Flow. Proceedings of the European Conference on the Mathematics of Geological Reservoirs (ECMOR 2022).
    Academic chapter/article/Conference paper
  • Oliveira, Gustavo P.; Rodrigues, Thiago N. E.; Lie, Knut-Andreas. (2022) GAWPS: A MRST-based module for wellbore profiling and graphical analysis of flow units. Advances in Geo-Energy Research. volum 6 (1).
    Academic article

2021

  • Berge, Runar Lie; Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas. (2021) Unstructured PEBI Grids Conforming to Lower-Dimensional Objects. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
    Academic chapter/article/Conference paper
  • Borregales Reveron, Manuel Antonio; Holm, Håvard Heitlo; Møyner, Olav; Krogstad, Stein; Lie, Knut-Andreas. (2021) Numerical Comparison Between ES-MDA and Gradient-Based Optimization for History Matching of Reduced Reservoir Models. SPE Reservoir Simulation Conference, On-Demand, October 2021.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas. (2021) Implicit Discontinuous Galerkin Methods for Transport Equations in Porous Media. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein Strengehagen; Moncorgé, Arthur; Møyner, Olav; Lie, Knut-Andreas. (2021) A numerical study of the additive Schwarz preconditioned exact Newton method (ASPEN) as a nonlinear preconditioner for immiscible and compositional porous media flow. Computational Geosciences.
    Academic article
  • Klemetsdal, Øystein Strengehagen; Moncorgé, Arthur; Nilsen, Halvor Møll; Møyner, Olav; Lie, Knut-Andreas. (2021) An adaptive sequential fully implicit domain-decomposition solver. SPE Journal.
    Academic article
  • Klemetsdal, Øystein Strengehagen; Møyner, Olav; Moncorgé, Arthur; Nilsen, Halvor Møll; Lie, Knut-Andreas. (2021) High-Resolution Compositional Reservoir Simulation with Dynamic Coarsening and Local Timestepping for Unstructured Grids. SPE Journal. volum 26 (6).
    Academic article
  • Lie, Knut-Andreas; Møyner, Olav. (2021) Advanced Modeling with the MATLAB Reservoir Simulation Toolbox. Cambridge University Press. 2021. ISBN 9781009019781.
    Academic anthology/Conference proceedings
  • Lie, Knut-Andreas; Møyner, Olav. (2021) Multiscale Pressure Solvers for Stratigraphic and Polytopal Grids. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas; Møyner, Olav. (2021) Preface. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
    Foreword
  • Ma, Shuai; Ju, Binshan; Zhao, Lin; Lie, Knut-Andreas; Dong, Yintao; Zhang, Qilong; Tian, Yapeng. (2021) Embedded discrete fracture modeling: flow diagnostics, non-Darcy flow, and well placement optimization. Journal of Petroleum Science and Engineering. volum 208 (C).
    Academic article
  • Raynaud, Xavier; Pizzolato, Alberto; Johansson, August; Caresani, Federica; Ferrari, Andrea; Møyner, Olav; Nilsen, Halvor Møll; Cominelli, Alberto; Lie, Knut-Andreas. (2021) Toward accurate reservoir simulations on unstructured grids: design of simple error estimators and critical benchmarking of consistent discretization methods for practical implementation. SPE Journal. volum 26 (6).
    Academic article
  • Sun, Xin; Lie, Knut-Andreas; Bao, Kai. (2021) Using State Functions and MRST’s AD-OO Framework to Implement Simulators for Chemical EOR. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
    Academic chapter/article/Conference paper
  • Watson, Francesca; Krogstad, Stein; Lie, Knut-Andreas. (2021) The use of flow diagnostics to rank model ensembles. Computational Geosciences.
    Academic article

2020

  • Borregales Reveron, Manuel Antonio; Møyner, Olav; Krogstad, Stein; Lie, Knut-Andreas. (2020) Data-Driven Models Based on Flow Diagnostics. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 14-17 September 2020.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas. (2020) Dynamic Coarsening and Local Reordered Nonlinear Solvers for Simulating Transport in Porous Media. SPE Journal. volum 25 (04).
    Academic article
  • Klemetsdal, Øystein Strengehagen; Moncorgé, Arthur; Møyner, Olav; Lie, Knut-Andreas. (2020) Additive Schwarz Preconditioned Exact Newton Method as a Nonlinear Preconditioner for Multiphase Porous Media Flow. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 14-17 September 2020.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein Strengehagen; Møyner, Olav; Raynaud, Xavier; Lie, Knut-Andreas. (2020) A Comparison of Consistent Discretizations for Elliptic Problems on Polyhedral Grids. Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas; Krogstad, Stein; Watson, Francesca. (2020) User Guide to Flow Diagnostics Postprocessing - Simulations in MRST and ECLIPSE Output Format. 2020. ISBN 978-82-14-06438-4.
    Report
  • Lie, Knut-Andreas; Krogstad, Stein; Watson, Francesca; Borregales Reveron, Manuel Antonio. (2020) User Guide to Flow Diagnostics in MRST - Flow Diagnostics Preprocessors for Model Ensembles. 2020. ISBN 978-82-14-06437-7.
    Report
  • Linga, Gaute; Møyner, Olav; Nilsen, Halvor Møll; Arthur, Moncorgé; Lie, Knut-Andreas. (2020) An implicit local time-stepping method based on cell reordering for multiphase flow in porous media. Journal of Computational Physics: X. volum 6.
    Academic article
  • Nilsen, Halvor Møll; Arthur, Moncorgé; Bao, Kai; Møyner, Olav; Lie, Knut-Andreas; Brodtkorb, Andre. (2020) Comparison between algebraic multigrid and multilevel multiscale methods for reservoir simulation. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 14-17 September 2020.
    Academic chapter/article/Conference paper
  • Rasmussen, Atgeirr Flø; Sandve, Tor Harald; Bao, Kai; Lauser, Andreas; Hove, Joakim; Skaflestad, Bård; Klöfkorn, Robert; Blatt, Markus; Rustad, Alf Birger; Sævareid, Ove; Lie, Knut-Andreas; Thune, Andreas. (2020) The Open Porous Media Flow Reservoir Simulator. Computers and Mathematics with Applications. volum 81.
    Academic article
  • Watson, Francesca; Krogstad, Stein; Lie, Knut-Andreas. (2020) Flow diagnostics for model ensembles. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 14-17 September 2020.
    Academic chapter/article/Conference paper

2019

  • Guion, Alexandre Nicolas; Skaflestad, Bård; Lie, Knut-Andreas; Wu, Xiao-Hui. (2019) Validation of a non-uniform coarsening and upscaling framework. SPE Reservoir Simulation Conference, 10-11 April, Galveston, Texas, USA.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein Strengehagen; Rasmussen, Atgeirr Flø; Møyner, Olav; Lie, Knut-Andreas. (2019) Efficient reordered nonlinear Gauss–Seidel solvers with higher order for black-oil models. Computational Geosciences.
    Academic article
  • Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2019) Accelerating multiscale simulation of complex geomodels by use of dynamically adapted basis functions. Computational Geosciences.
    Academic article
  • Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2019) Implicit high-resolution compositional simulation with optimal ordering of unknowns and adaptive spatial refinement. SPE Reservoir Simulation Conference, 10-11 April, Galveston, Texas, USA.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2019) Robust nonlinear Newton solver with adaptive interface-localized trust regions. SPE Journal. volum 24 (4).
    Academic article
  • Lie, Knut-Andreas. (2019) An Introduction to Reservoir Simulation Using MATLAB/GNU Octave: User Guide for the MATLAB Reservoir Simulation Toolbox (MRST). Cambridge University Press. 2019. ISBN 9781108492430.
    Academic monograph
  • Lie, Knut-Andreas. (2019) Executive summary. SPE Journal. volum 24 (4).
    Editorial
  • Lie, Knut-Andreas. (2019) Executive summary. SPE Journal. volum 24 (2).
    Editorial
  • Lie, Knut-Andreas; Mykkeltvedt, Trine Solberg; Møyner, Olav. (2019) A fully implicit WENO scheme on stratigraphic and unstructured polyhedral grids. Computational Geosciences.
    Academic article
  • Marefat, Hassan Ali; Ashjari Aghdam, Muhammad A; Lie, Knut-Andreas. (2019) Preserving vorticity improves the accuracy of multiscale solvers. Journal of Petroleum Science and Engineering. volum 182.
    Academic article

2018

  • Allen, Rebecca; Nilsen, Halvor Møll; Lie, Knut-Andreas; Møyner, Olav; Andersen, Odd. (2018) Using simplified methods to explore the impact of parameter uncertainty on CO2 storage estimates with application to the Norwegian Continental Shelf. International Journal of Greenhouse Gas Control. volum 75.
    Academic article
  • Berge, Runar Lie; Klemetsdal, Øystein; Lie, Knut-Andreas. (2018) Unstructured Voronoi grids conforming to lower-dimensional objects. Computational Geosciences. volum 23 (1).
    Academic article
  • Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2018) Use of dynamically adapted basis functions to accelerate multiscale simulation of complex geomodels. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein; Rasmussen, Atgeirr Flø; Møyner, Olav; Lie, Knut-Andreas. (2018) Nonlinear Gauss-Seidel solvers with higher order for black-oil models. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas. (2018) Executive summary. SPE Journal. volum 23 (6).
    Editorial
  • Lie, Knut-Andreas. (2018) Executive summary. SPE Journal. volum 23 (04).
    Editorial
  • Lie, Knut-Andreas. (2018) Executive summary. SPE Journal. volum 23 (02).
    Editorial
  • Lie, Knut-Andreas. (2018) On Holden's seven guidelines for scientific computing and development of open-source community software. Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas; Mykkeltvedt, Trine Solberg; Møyner, Olav. (2018) Fully implicit WENO schemes on stratigraphic and fully unstructured grids. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain.
    Academic chapter/article/Conference paper
  • Toft, Raymond; Lie, Knut-Andreas; Møyner, Olav. (2018) Full Approximation Scheme for Reservoir Simulation. NIKT: Norsk IKT-konferanse for forskning og utdanning.
    Academic article
  • Zefreh, Masoud Ghaderi; Nilsen, Halvor Møll; Lie, Knut-Andreas; Raynaud, Xavier; Doster, Florian. (2018) Streamline simulation of a reactive advective flow with discontinuous flux function. Computational Geosciences. volum 23 (2).
    Academic article

2017

  • Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2017) Categorization of Norwegian Continental Shelf formations in terms of geological CO2 storage potentials. Energy Procedia. volum 114.
    Academic article
  • Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2017) On obtaining optimal well rates and placement for CO2 storage. Computational Geosciences. volum 21 (5-6).
    Academic article
  • Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2017) Ranking and categorizing large-scale saline aquifer formations based on optimized CO2 storage potentials and economic factors. International Journal of Greenhouse Gas Control. volum 65.
    Academic article
  • Bao, Kai; Lie, Knut-Andreas; Møyner, Olav; Liu, Ming. (2017) Fully implicit simulation of polymer flooding with MRST. Computational Geosciences. volum 21 (5-6).
    Academic article
  • Klemetsdal, Øystein; Berge, Runar Lie; Lie, Knut-Andreas; Nilsen, Halvor Møll; Møyner, Olav. (2017) Unstructured Gridding and Consistent Discretizations for Reservoirs with Faults and Complex Wells. SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2017) Non-linear Newton Solver for a Polymer Two-phase System Using Interface-localized Trust Regions. 19th European Symposium on Improved Oil Recovery/IOR Norway 2017.
    Academic chapter/article/Conference paper
  • Krogstad, Stein; Lie, Knut-Andreas; Nilsen, Halvor Møll; Berg, Carl Fredrik; Kippe, Vegard. (2017) Efficient flow diagnostics proxies for polymer flooding. Computational Geosciences. volum 21 (5-6).
    Academic article
  • Lie, Knut-Andreas. (2017) Executive summary. SPE Journal. volum 22 (6).
    Editorial
  • Lie, Knut-Andreas. (2017) Executive summary. SPE Journal. volum 22 (4).
    Editorial
  • Lie, Knut-Andreas. (2017) Executive summary. SPE Journal. volum 22 (2).
    Editorial
  • Lie, Knut-Andreas; Kedia, Kushal; Skaflestad, Bård; Wang, Xioachen; Yang, Yahan; Wu, Xiao-Hui; Hoda, Nazish. (2017) A General Non-Uniform Coarsening and Upscaling Framework for Reduced-Order Modeling. SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA.
    Chapter
  • Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald. (2017) A Feature-Enriched Multiscale Method for Simulating Complex Geomodels. SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA.
    Chapter
  • Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald. (2017) Use of multiple multiscale operators to accelerate simulation of complex geomodels. SPE Journal. volum 22 (06).
    Academic article
  • Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald; Kozlova, Antonina; Bratvedt, Kyrre; Watanabe, Shingo; Li, Zhuoyi. (2017) Successful application of multiscale methods in a real reservoir simulator environment. Computational Geosciences. volum 21 (5-6).
    Academic article
  • Mykkeltvedt, Trine Solberg; Raynaud, Xavier; Lie, Knut-Andreas. (2017) Fully implicit higher-order schemes applied to polymer flooding. Computational Geosciences. volum 21 (5-6).
    Academic article
  • Nilsen, Halvor Møll; Krogstad, Stein; Andersen, Odd; Allen, Rebecca; Lie, Knut-Andreas. (2017) Using sensitivities and vertical-equilibrium models for parameter estimation of CO2 injection models with application to Sleipner data. Energy Procedia. volum 114.
    Academic article
  • Vink, Jeroen; Klie, Hektor; Austin, Andy; Beckner, Brett; Bratvedt, Kyrre; Cao, Hui; Cominelli, Alberto; Ding, Didier-Yu; Fung, Larry; Geiger, Sebastian; Gerritsen, Margot; Guo, Ying; Jansen, Jan-Dirk; Lie, Knut-Andreas; Mallison, Bradley T.; Muggeridge, A.; Shaw, Gareth; Shrivastava, Vijay; Tchelepi, Hamdi; Wheeler, Mary F.; Wu, Xiao-Hui; Younis, Rami; Zhang, Dong. (2017) SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA. Society of Petroleum Engineers. 2017. ISBN 978-1-61399-483-2.
    Academic anthology/Conference proceedings

2016

  • Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2016) On Obtaining Optimal Well Rates and Placement for CO2 Storage. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
    Academic chapter/article/Conference paper
  • Andersen, Odd; Lie, Knut-Andreas; Nilsen, Halvor Møll. (2016) An Open-Source Toolchain for Simulation and Optimization of Aquifer-Wide CO2 Storage. Energy Procedia. volum 86.
    Academic article
  • Bao, Kai; Lie, Knut-Andreas; Møyner, Olav; Liu, Ming. (2016) Fully Implicit Simulation of Polymer Flooding with MRST. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
    Academic chapter/article/Conference paper
  • Hilden, Sindre Tonning; Møyner, Olav; Lie, Knut-Andreas; Bao, Kai. (2016) Multiscale simulation of polymer flooding with shear effects. Transport in Porous Media. volum 113 (1).
    Academic article
  • Krogstad, Stein; Lie, Knut-Andreas; Nilsen, Halvor Møll; Berg, Carl Fredrik; Kippe, Vegard. (2016) Flow diagnostics for optimal polymer injection strategies. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas. (2016) Executive summary. SPE Journal. volum 21 (6).
    Editorial
  • Lie, Knut-Andreas. (2016) Executive summary. SPE Journal. volum 21 (4).
    Editorial
  • Lie, Knut-Andreas. (2016) Executive summary. SPE Journal. volum 21 (2).
    Editorial
  • Lie, Knut-Andreas; Mykkeltvedt, Trine Solberg; Raynaud, Xavier. (2016) Fully Implicit Higher-order Schemes Applied to Polymer Flooding. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald; Antonina, Kozlova; Bratvedt, Kyrre; Watanabe, S; Li, Z. (2016) Successful Application of Multiscale Methods in a Real Reservoir Simulator Environment. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
    Academic chapter/article/Conference paper
  • Møyner, Olav; Lie, Knut-Andreas. (2016) A multiscale restriction-smoothed basis method for compressible black-oil models. SPE Journal. volum 21 (6).
    Academic article
  • Møyner, Olav; Lie, Knut-Andreas. (2016) A multiscale restriction-smoothed basis method for high contrast porous media represented on unstructured grids. Journal of Computational Physics. volum 304.
    Academic article
  • Raynaud, Xavier; Lie, Knut-Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø. (2016) The single-cell transport problem for two-phase flow with polymer. Computational Geosciences. volum 20 (3).
    Academic article
  • Shah, Swej; Møyner, Olav; Tene, Matei; Lie, Knut-Andreas; Hajibeygi, Hadi. (2016) The multiscale restriction smoothed basis method for fractured porous media (F-MsRSB). Journal of Computational Physics. volum 318.
    Academic article

2015

  • Andersen, Odd; Bao, Kai; Hilden, Sindre Tonning; Krogstad, Stein; Lie, Knut-Andreas; Møyner, Olav; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier; Skaflestad, Bård. (2015) Matlab Reservoir Simulation Toolbox: MRST 2015a. SINTEF ICT, Oslo. 2015.
    Software
  • Dragland, Åse Kirsti; Brodtkorb, André R.; Rasmussen, Atgeirr Flø; Lie, Knut-Andreas. (2015) Nytt språk gir kjappe simuleringer. Gemini.
    Popular scientific article
  • Flornes, Kristin Margrethe; Lie, Knut-Andreas; Rustad, Alf Birger; Bao, Kai; Blatt, Markus; Brodtkorb, André R.; Brudevoll, Edvin; Fløysand, Christine; Hove, Joakim; Klöfkorn, Robert; Kvarving, Arne Morten; Lauser, Andreas; Rasmussen, Atgeirr Flø; Sandve, Tor Harald; Skaflestad, Bård; Sævareid, Ove. (2015) The Open Porous Media Initiative -- Release 2015.04. www.opm-project.org, www.opm-project.org. 2015.
    Software
  • Flornes, Kristin Margrethe; Lie, Knut-Andreas; Rustad, Alf Birger; Bao, Kai; Blatt, Markus; Brodtkorb, André Rigland; Fløysand, Christine; Gundersen, Fredrik; Hove, Joakim; Klöfkorn, Robert; Kvarving, Arne Morten; Lauser, Andreas; Rasmussen, Atgeirr Flø; Sandve, Tor Harald; Skaflestad, Bård; Sævareid, Ove. (2015) The Open Porous Media Initiative -- Release 2015.10. www.opm-project.org, www.opm-project.org. 2015.
    Software
  • Kaulmann, Sven; Flemisch, Bernd; Haasdonk, Bernard; Lie, Knut-Andreas; Ohlberger, Mario. (2015) The localized reduced basis multiscale method for two-phase flows in porous media. International Journal for Numerical Methods in Engineering. volum 102 (5).
    Academic article
  • Krogstad, Stein; Lie, Knut-Andreas; Møyner, Olav; Nilsen, Halvor Møll; Raynaud, Xavier; Skaflestad, Bård. (2015) MRST-AD: an open-source framework for rapid prototyping and evaluation of reservoir simulation problems. SPE Reservoir Simulation Symposium, 23-25 February 2015, Houston, Texas, USA.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas. (2015) Hyperbolic Conservation Laws: Computation. Encyclopedia of Applied and Computational Mathematics.
    Lexical introduction
  • Lie, Knut-Andreas; Mallison, Bradley T.. (2015) Mathematical models for oil reservoir simulation. Encyclopedia of Applied and Computational Mathematics.
    Lexical introduction
  • Lie, Knut-Andreas; Møyner, Olav; Krogstad, Stein. (2015) Application of Flow Diagnostics and Multiscale Methods for Reservoir Management. SPE Reservoir Simulation Symposium, 23-25 February 2015, Houston, Texas, USA.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas; Nilsen, Halvor Møll; Andersen, Odd; Møyner, Olav. (2015) A simulation workflow for large-scale CO2 storage in the Norwegian North Sea. Computational Geosciences. volum 20 (3).
    Academic article
  • Møyner, Olav; Lie, Knut-Andreas. (2015) A multiscale method based on restriction-smoothed basis functions suitable for general grids in high contrast media. SPE Reservoir Simulation Symposium, 23-25 February 2015, Houston, Texas, USA.
    Academic chapter/article/Conference paper
  • Nilsen, Halvor Møll; Lie, Knut Andreas; Møyner, Olav; Andersen, Odd. (2015) Spill-point analysis and structural trapping capacity in saline aquifers using MRST-co2lab. Computers & Geosciences. volum 75.
    Academic article
  • Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd. (2015) Analysis of CO2 trapping capacities and long-term migration for geological formations in the Norwegian North Sea using MRST-CO2LAB. Petroleum Abstracts (PA). volum 55 (38).
    Abstract
  • Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd. (2015) Analysis of CO2 trapping capacities and long-term migration for geological formations in the Norwegian North Sea using MRST-co2lab. Computers & Geosciences. volum 79.
    Academic article
  • Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd. (2015) Fully-implicit simulation of vertical-equilibrium models with hysteresis and capillary fringe. Computational Geosciences. volum 20 (1).
    Academic article
  • Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd. (2015) Robust simulation of sharp-interface models for fast estimation of CO2 trapping capacity in large-scale aquifer systems. Computational Geosciences. volum Published ahead of print.
    Academic article
  • Pal, Mayur; Lamine, Sadok; Lie, Knut Andreas; Krogstad, Stein. (2015) Validation of the multiscale mixed finite-element method. International Journal for Numerical Methods in Fluids. volum 77 (4).
    Academic article
  • Sætra, Martin Lilleeng; Brodtkorb, André R.; Lie, Knut Andreas. (2015) Efficient GPU-Implementation of Adaptive Mesh Refinement for the Shallow-Water Equations. Journal of Scientific Computing. volum 63 (1).
    Academic article

2014

  • Andersen, Odd; Nilsen, Halvor Møll; Lie, Knut-Andreas. (2014) Reexamining CO2 Storage Capacity and Utilization of the Utsira Formation. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
    Academic chapter/article/Conference paper
  • Hilden, Sindre Kristensen; Lie, Knut-Andreas; Raynaud, Xavier. (2014) Steady State Upscaling of Polymer Flooding. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
    Academic chapter/article/Conference paper
  • Lie, Knut Andreas; Natvig, Jostein Roald; Krogstad, Stein; Yang, Yahan; Wu, Xiao-Hui. (2014) Grid adaptation for the Dirichlet-Neumann representation method and the multiscale mixed finite-element method. Computational Geosciences. volum 18 (3-4).
    Academic article
  • Lie, Knut Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier. (2014) Fast Simulation of Polymer Injection in Heavy-Oil Reservoirs on the Basis of Topological Sorting and Sequential Splitting. SPE Journal. volum 19 (6).
    Academic article
  • Lie, Knut-Andreas; Nilsen, Halvor Møll; Andersen, Odd; Møyner, Olav. (2014) A Simulation Workflow for Large-scale CO2 Storage in the Norwegian North Sea. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
    Academic chapter/article/Conference paper
  • Mykkeltvedt, Trine; Aavatsmark, Ivar; Lie, Knut-Andreas. (2014) Numerical Aspects of Polymer Flood Modeling. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
    Academic chapter/article/Conference paper
  • Møyner, Olav; Krogstad, Stein; Lie, Knut-Andreas. (2014) The application of flow diagnostics for reservoir management. SPE Journal. volum 20 (2).
    Academic article
  • Møyner, Olav; Lie, Knut Andreas. (2014) A multiscale two-point flux-approximation method. Journal of Computational Physics. volum 275.
    Academic article
  • Møyner, Olav; Lie, Knut Andreas. (2014) The Multiscale Finite-Volume Method on Stratigraphic Grids. SPE Journal. volum 19 (5).
    Academic article
  • Rasmussen, Atgeirr Flø; Lie, Knut-Andreas. (2014) Discretization of Flow Diagnostics on Stratigraphic and Unstructured Grids. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
    Academic chapter/article/Conference paper
  • Raynaud, Xavier; Lie, Knut-Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø. (2014) Well-posedness of the Single-cell Transport Problem for Two-phase Flow with Polymer. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
    Academic chapter/article/Conference paper

2013

  • Lie, Knut Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier. (2013) Fast Simulation of Polymer Injection in Heavy-Oil Reservoirs Based on Topological Sorting and Sequential Splitting. SPE reservoir simulation symposium 2013 : The Woodlands, Texas, USA, 18-20 February 2013.
    Academic chapter/article/Conference paper
  • Møyner, Olav; Lie, Knut Andreas. (2013) The multiscale finite volume method on unstructured grids. SPE reservoir simulation symposium 2013 : The Woodlands, Texas, USA, 18-20 February 2013.
    Academic chapter/article/Conference paper
  • Pal, Mayur; Lamine, Sadok; Lie, Knut Andreas; Krogstad, Stein. (2013) Multiscale method for simulating two and three-phase flow in porous media. SPE reservoir simulation symposium 2013 : The Woodlands, Texas, USA, 18-20 February 2013.
    Academic chapter/article/Conference paper

2012

  • Alpak, Faruk Omer; Pal, Mayur; Lie, Knut-Andreas. (2012) A Multiscale Adaptive Local-Global Method for Modeling Flow in Stratigraphically Complex Reservoirs. SPE Journal. volum 17 (4).
    Academic article
  • Hauge, Vera Louise; Lie, Knut-Andreas; Natvig, Jostein Roald. (2012) Flow-based coarsening for multiscale simulation of transport in porous media. Computational Geosciences. volum 16 (2).
    Academic article
  • Krogstad, Stein; Lie, Knut-Andreas; Skaflestad, Bård. (2012) Mixed multiscale methods for compressible flow. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB.
    Other
  • Lie, Knut-Andreas; Krogstad, Stein; Ligaard, Ingeborg S; Natvig, Jostein Roald; Nilsen, Halvor Møll; Skaflestad, Bård. (2012) Open-source MATLAB implementation of consistent discretisations on complex grids. Computational Geosciences. volum 16 (2).
    Academic article
  • Lie, Knut-Andreas; Natvig, Jostein Roald; Nilsen, Halvor Møll. (2012) Discussion of dynamics and operator splitting techniques for two-phase flow with gravity. International Journal of Numerical Analysis & Modeling. volum 9 (3).
    Academic article
  • Lie, Knut-Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier Marcel. (2012) An unconditionally stable splitting method using reordering for simulating polymer injection. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB.
    Other
  • Natvig, Jostein Roald; Lie, Knut-Andreas; Krogstad, Stein; Yang, Yahan; Wu, Xiao-Hui. (2012) Grid adaption for upscaling and multiscale methods. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB.
    Other
  • Nilsen, Halvor Møll; Lie, Knut Andreas; Natvig, Jostein Roald. (2012) Accurate modelling of faults by multipoint, mimetic, and mixed methods. SPE Journal. volum 17 (02).
    Academic article
  • Nilsen, Halvor Møll; Natvig, Jostein Roald; Lie, Knut-Andreas. (2012) Accurate Modeling of Faults by Multipoint, Mimetic, and Mixed Methods. SPE Journal. volum 17 (2).
    Academic article
  • Nilsen, Halvor Møll; Syversveen, Anne Randi; Lie, Knut-Andreas; Tveranger, Jan; Nordbotten, Jan Martin. (2012) Impact of top-surface morphology on CO2 storage capacity. International Journal of Greenhouse Gas Control. volum 11.
    Academic article
  • Pal, Mayur; Lamine, Sadok; Lie, Knut-Andreas; Krogstad, Stein. (2012) Multiscale methods for two and three-phase flow simulation in subsurface petroleum reservoirs. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB.
    Other
  • Syversveen, Anne Randi; Nilsen, Halvor Møll; Lie, Knut-Andreas; Tveranger, Jan; Abrahamsen, Petter. (2012) A Study on How Top-Surface Morphology Influences the Storage Capacity of CO2 in Saline Aquifers. Geostatistics Oslo 2012.
    Academic chapter/article/Conference paper

2011

  • Alpak, Faruk Omer; Pal, Mayur; Lie, Knut-Andreas. (2011) A Multiscale Method for Modeling Flow in Stratigraphically Complex Reservoirs. SPE Reservoir Simulation Symposium 2011 : 21-23 February 2011, The Woodlands, Texas, USA.
    Academic chapter/article/Conference paper
  • Krotkiewski, Marcin; Ligaard, Ingeborg S; Lie, Knut-Andreas; Schmid, Daniel Walter. (2011) On the importance of the Stokes-Brinkman equations for computing effective permeability in karst reservoirs. Communications in Computational Physics. volum 10 (5).
    Academic article
  • Natvig, Jostein Roald; Skaflestad, Bård; Bratvedt, Frode; Bratvedt, Kyrre; Lie, Knut-Andreas; Laptev, Vsevolod; Khataniar, Sanjoy. (2011) Multiscale Mimetic Solvers for Efficient Streamline Simulation of Fractured Reservoirs. SPE Journal. volum 16 (4).
    Academic article
  • Nilsen, Halvor Møll; Herrera, Paulo; Ashraf, Seyed Meisam; Ligaard, Ingeborg S; Iding, Martin; Hermanrud, Christian; Lie, Knut-Andreas; Nordbotten, Jan Martin; Dahle, Helge K.; Keilegavlen, Eirik. (2011) Field-case simulation of CO2-plume migration using vertical-equilibrium models. Energy Procedia. volum 4.
    Academic article

2010

  • Ashraf, Seyed Meisam; Lie, Knut Andreas; Nilsen, Halvor Møll; Skorstad, Arne; Nordbotten, Jan M.. (2010) Impact of geological heterogeneity on early-stage CO2 plume migration. Conference Proceedings ECMOR XII.
    Academic chapter/article/Conference paper
  • Brodtkorb, Bernt Andre; Hagen, Trond Runar; Lie, Knut-Andreas; Natvig, Jostein Roald. (2010) Simulation and visualization of the Saint-Venant system using GPUs. Computing and Visualization in Science. volum 13 (7).
    Academic article
  • Gulbransen, Astrid Fossum; Hauge, Vera Louise; Lie, Knut-Andreas. (2010) A multiscale mixed finite-element method for vuggy and naturally-fractured reservoirs. SPE Journal. volum 15 (12).
    Academic article
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (2010) Splitting Methods for Partial Differential Equations with Rough Solutions. Analysis and Matlab Programs. European Mathematical Society Publishing House. 2010. ISBN 978-3-03719-078-4.
    Academic monograph
  • Lie, Knut-Andreas. (2010) Multiscale methods for subsurface flow. Computational Science and Engineering: Challenges and Opportunities.
    publications.POPVIT_KAPITTEL
  • Tjåland, Egil; Kvamsdal, Trond; Amundsen, Jørn Aslak; Lie, Knut-Andreas; Maincon, Philippe; Rønquist, Einar; Skjetne, Paal; Åstrand, Per-Olof; Nystad, Arild Normann. (2010) Computational Science and Engineering: Challenges and Opportunities. 2010. ISBN 978-82-995202-0-1.
    Report

2009

  • Aarnes, JE; Lie, Knut-Andreas; Kippe, V; Krogstad, Stein. (2009) Multiscale methods for subsurface flow. Multiscale Modeling and Simulation in Science.
    Academic chapter/article/Conference paper
  • Eikemo, Birgitte; Lie, Knut-Andreas; Eigestad, Geir Terje; Dahle, Helge Ketil. (2009) Discontinuous Galerkin methods for advective transport in single-continuum models of fractured media. Advances in Water Resources. volum 32 (4).
    Academic article
  • Gulbransen, Astrid Fossum; Hauge, Vera Louise; Lie, Knut-Andreas. (2009) A Multiscale Mixed Finite-Element Method for Vuggy and Naturally-Fractured Reservoirs. SPE Reservoir Simulation Symposium, 2-4 February 2009, The Woodlands, Texas, USA.
    Academic chapter/article/Conference paper
  • Nilsen, Halvor Møll; Lie, Knut-Andreas. (2009) Front-tracking methods for use in streamline simulation of compressible flow. SPE Reservoir Simulation Symposium, 2-4 February 2009, The Woodlands, Texas, USA.
    Academic chapter/article/Conference paper
  • Stenerud, Vegard Røine; Lie, KA; Kippe, V. (2009) Generalized travel-time inversion on unstructured grids. Journal of Petroleum Science and Engineering. volum 65 (3-4).
    Academic article
  • Tai, Xue-C.; Mørken, K.; Lysaker, O.M.; Lie, Knut-A.. (2009) Scale Space and Variational Methods in Computer Vision. Second International Conference, SSVM 2009. Springer. 2009. ISBN 978-3-642-02255-5.
    Academic anthology/Conference proceedings
  • Tai, Xue-Cheng; Mørken, Knut Martin; Lysaker, Marius; Lie, Knut-Andreas. (2009) Scale Space and Variational Methods in Computer Vision. Springer. 2009. ISBN 978-3-642-02255-5. Lecture Notes in Computer Science (5567).
    Academic anthology/Conference proceedings

2008

  • Aarnes, Jørg Espen; Lie, Knut-Andreas; Kippe, Vegard; Krogstad, Stein. (2008) Multiscale methods for subsurface flow. Multiscale Modeling and Simulation in Science.
    Academic chapter/article/Conference paper
  • Stenerud, Vegard Røine; Kippe, Vegard; Lie, Knut-Andreas; Datta-Gupta, Akhil. (2008) Adaptive multiscale streamline simulation and inversion for high-resolution geomodels. SPE Journal. volum 13 (1).
    Academic article
  • Aarnes, Jørg E.; Krogstad, Stein; Lie, Knut-Andreas. (2008) Multiscale mixed/mimetic methods on corner-point grids. Computational Geosciences. volum 12 (3).
    Academic article
  • Gulbransen, Astrid Fossum; Hauge, Vera Louise; Lie, Knut-Andreas. (2008) A multiscale mixed finite-element method for vuggy and naturally-fractured reservoirs. 21st Nordic Seminar on Computational Mechanics.
    Academic chapter/article/Conference paper
  • Juanes, Ruben; Lie, Knut-Andreas. (2008) Numerical modeling of multiphase first-contact miscible flows. Part 2. Front-tracking/streamline simulation. Transport in Porous Media. volum 72 (1).
    Academic article
  • Kippe, Vegard; Aarnes, Jørg E.; Lie, Knut-Andreas. (2008) A comparison of multiscale methods for elliptic problems in porous media flow. Computational Geosciences. volum 12 (3).
    Academic article
  • Natvig, Jostein Roald; Lie, Knut-Andreas. (2008) Fast computation of multiphase flow in porous media by implicit discontinuous Galerkin schemes with optimal ordering of elements. Journal of Computational Physics. volum 227 (24).
    Academic article
  • Natvig, Jostein Roald; Lie, Knut-Andreas. (2008) On Efficient Implicit Upwind Schemes. Proceedings of the 11th European Conference on the Mathematics of Oil Recovery.
    Academic chapter/article/Conference paper
  • Nilsen, Halvor Møll; Lie, Knut-Andreas. (2008) On Front Tracking for Compressible Flow. Proceedings of the 11th European Conference on the Mathematics of Oil Recovery.
    Academic chapter/article/Conference paper
  • Stenerud, Vegard Røine; Kippe, Vegard; Lie, Knut-Andreas; Datta-Gupta, Akhil. (2008) Adaptive multiscale streamline simulation and inversion for high-resolution geomodels. SPE Journal. volum 13 (1).
    Academic article

2007

  • Stenerud, Vegard Røine; Lie, Knut-Andreas. (2007) Streamline-Based History Matching: A Review. 2007. ISBN 978-82-14-04075-3. SINTEF Rapport (A4109).
    Report
  • Aarnes, Jørg E.; Gimse, Tore; Lie, Knut-Andreas. (2007) An Introduction to the Numerics of Flow in Porous Media using Matlab. Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF.
    Academic chapter/article/Conference paper
  • Aarnes, Jørg E.; Kippe, Vegard; Lie, Knut-Andreas; Rustad, Alf Birger. (2007) Modelling of Multiscale Structures in Flow Simulations for Petroleum Reservoirs. Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF.
    Academic chapter/article/Conference paper
  • Hagen, Trond Runar; Henriksen, Martin O.; Hjelmervik, Jon M.; Lie, Knut-Andreas. (2007) How to Solve Systems of Conservation Laws Numerically Using the Graphics Processor as a High-Performance Computational Engine. Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF.
    Lexical introduction
  • Hagen, Trond Runar; Henriksen, Martin O; Hjelmervik, Jon M.; Lie, Knut-Andreas. (2007) How to solve systems of conservation laws numerically using the graphics processor as a high-performance computational engine. Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF.
    Academic chapter/article/Conference paper
  • Hasle, Geir; Lie, Knut-Andreas; Quak, Ewald Gunther. (2007) Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF. Springer Publishing Company. 2007. ISBN 978-3-540-68782-5.
    Academic anthology/Conference proceedings
  • Hasle, Geir; Lie, Knut-Andreas; Quak, Ewald Gunther. (2007) Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF. Springer. 2007. ISBN 9783540687825.
    Academic anthology/Conference proceedings
  • Hægland, Håkon; Dahle, Helge K.; Eigestad, G. T.; Lie, Knut-Andreas; Aavatsmark, Ivar. (2007) Improved streamlines and time-of-flight for streamline simulation on irregular grids. Advances in Water Resources. volum 30 (4).
    Academic article
  • Hægland, Håkon; Dahle, Helge Ketil; Eigestad, Geir Terje; Lie, Knut-Andreas; Aavatsmark, Ivar. (2007) Improved streamlines and time-of-flight for streamline simulation on irregular grids. Advances in Water Resources. volum 30 (4).
    Academic article
  • Juanes, Ruben; Lie, Knut-Andreas. (2007) Numerical modeling of multiphase first-contact miscible flows. Part 1. Analytical Riemann solver. Transport in Porous Media. volum 67 (3).
    Academic article
  • Natvig, Jostein R.; Lie, Knut-Andreas; Eikemo, Birgitte; Berre, Inga. (2007) An efficient discontinuous Galerkin method for advective transport in porous media. Advances in Water Resources. volum 30 (12).
    Academic article
  • Tai, Xue-Cheng; Lie, Knut-Andreas; Chan, Tony F.; Osher, Stanley. (2007) Image Processing based on Partial differential equations. Springer. 2007. ISBN 978-3-540-33266-4.
    Academic anthology/Conference proceedings

2006

  • Aarnes, Jørg; Kippe, V; Lie, Knut-Andreas. (2006) Multiscale methods and streamline simulation for rapid reservoir performance prediction. Progress in Industrial Mathematics at ECMI 2004.
    Academic chapter/article/Conference paper
  • Aarnes, Jørg; Krogstad, Stein; Lie, Knut-Andreas. (2006) A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform coarse grids. Multiscale Modeling & simulation. volum 5 (2).
    Academic article
  • Aarnes, Jørg; Krogstad, Stein; Lie, Knut-Andreas; Laptev, V. (2006) Multiscale Mixed Methods on Corner-Point grids: Mimetic versus Mixed Subgrid Solvers. 2006. ISBN 8214040426. SINTEF Rapport (A578).
    Report
  • Aarnes, Jørg; Krogstad, Stein; Lie, Knut-Andreas; Natvig, Jostein Roald. (2006) Fast sequential implicit porous media flow simulations using multiscale finite elements and reordering of cells for solution of nonlinear transport equation. 10th European Conference on the Mathematics of Oil Recovery ECMOR X, 04 September 2006.
    Academic chapter/article/Conference paper
  • Hagen, Trond Runar; Lie, Knut-Andreas; Natvig, Jostein Roald. (2006) Solving the Euler equations on graphical processing units. Computational Science - ICCS 2006, Pt. 4, Proceedings.
    Academic chapter/article/Conference paper
  • Hagen, Trond Runar; Lie, Knut-Andreas; Natvig, Jostein Roald. (2006) Solving the Euler equations on graphics processing units. Lecture Notes in Computer Science (LNCS). volum 3994.
    Academic article
  • Tai, Xue-Cheng; Lie, Knut-Andreas; Chan, Tony; Osher, Stanley. (2006) Image Processing based on Partial differential equations. Springer. 2006. ISBN 978-3-540-33266-4. Mathematics and Visualization (18).
    Academic anthology/Conference proceedings

2005

  • Aarnes, Jørg Espen; Kippe, Vegard; Lie, Knut-Andreas. (2005) Mixed multiscale finite elements and streamline methods for reservoir simulation of large geomodels. Advances in Water Resources. volum 28 (3).
    Academic article
  • Hagen, Trond R; Hjelmervik, Jon M.; Lie, Knut-Andreas; Natvig, Jostein Roald; Henriksen, M.. (2005) Visual simulation of shallow-water waves. Simulation modelling practice and theory. volum 13 (8).
    Academic article
  • Lie, Knut-Andreas; Aarnes, Jørg Espen; Kippe, Vegard; Krogstad, Stein. (2005) Multiscale Methods for Flow in Porous Media. Rakenteiden Mekaniikka. volum 38 (3).
    Academic article
  • Lie, Knut-Andreas; Juanes, Ruben. (2005) A front-tracking method for the simulation of three-phase flow in porous media. Computational Geosciences. volum 9 (1).
    Academic article
  • Berre, Inga; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein R.. (2005) Fast computation of arrival times in heterogeneous media. Computational Geosciences. volum 9 (4).
    Academic article

2004

  • Lie, K. A.; Tveito, Aslak. (2004) Development of a staggered central difference scheme that does not use a spatial reconstruction. 2004.
    Report

2003

  • Berre, I.; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald. (2003) Fast computation of arrival times in heterogeneous. 2003. ISBN 82-553-1372-9.
    Report
  • Lie, Knut-Andreas. (2003) An improved quadrature rule for the flux-computation in staggered central difference schemes in multidimensions. Journal of Scientific Computing. volum 18 (1).
    Academic article
  • Lie, Knut-Andreas. (2003) On the artificial compression method for second-order nonoscillatory central difference schemes for systems of conservation laws. SIAM Journal on Scientific Computing. volum 24 (4).
    Academic article

2002

  • Berre, Inga; Dahle, Helge Ketil; Karlsen, Kenneth H.; Lie, Knut-Andreas; Natvig, Jostein R.. (2002) Time-of-flight + fast Marching + transport collapse: an alternative to streamlines for tow-phase porous media flow with capillary forces?. Developments in Water Science. volum 47.
    Academic article

2001

  • Dahle, Helge Ketil; Karlsen, Kenneth Hvistendahl; Lie, Knut-A.; Natvig, Jostein R.. (2001) Corrected operator splitting for systems of convection-diffusion equations. MANGLER.
    Academic article
  • Haugse, Vidar; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein. (2001) Numerical solution of the polymer system by front tracking. Transport in Porous Media. volum 44 (1).
    Academic article
  • Haugse, Vidar; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald. (2001) Numerical solution of the polymer system by front tracking. Transport in Porous Media. volum 44 (1).
    Academic article
  • Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald; Nordhaug, Hans Fredrik; Dahle, Helge Ketil. (2001) Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies. Journal of Computational Physics. volum 173 (2).
    Academic article

2000

  • Bürger, Raymond; Evje, Steinar; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Numerical methods for the simulation of the settling of flocculated suspensions. Chemical Engineering Journal. volum 80.
    Academic article
  • Evje, Steinar; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (2000) Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations. IMA Journal of Applied Mathematics. volum 120.
    Academic article
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. CMS Conference Proceedings Series. volum 29.
    Academic article
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. Computational Geosciences. volum 4.
    Academic article
  • Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (2000) A fast marching method for reservoir simulation. Computational Geosciences. volum 4.
    Academic article
  • Lie, Knut-Andreas. (2000) Front tracking for one-dimensional quasilinear hyperbolic equations with variable coefficients. Numerical Algorithms. volum 24 (3).
    Academic article

1999

  • Haugse, V; Karlsen, Kenneth Hvistendahl; Lie, K-A; Natvig, JR. (1999) Numerical solution of the polymer system by front tracking. 1999. Preprint.
    Report
  • Holdahl, Runar; Holden, Helge; Lie, Knut Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics. volum 39.
    Academic article
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. 1999. Preprint.
    Report
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. 1999. Preprint.
    Report
  • Holden, Helge; Lie, Knut-Andreas; Risebro, N.H.. (1999) An Unconditionally Stable Method for the Euler Equations. Journal of Computational Physics. volum 150.
    Academic article
  • Karlsen, Kenneth Hvistendahl; Lie, K-A; Risebro, NH. (1999) A fast level set method for reservoir simulation. 1999. Preprint.
    Report
  • Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (1999) An unconditionally stable splitting for a class of nonlinear parabolicequations. IMA Journal of Numerical Analysis. volum 19.
    Academic article
  • Holdahl, Runar; Holden, Helge; Lie, Knut-Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics. volum 39 (3).
    Academic article
  • Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) An unconditionally stable method for the Euler equations. Journal of Computational Physics.
    Academic article
  • Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (1999) An unconditionally stable splitting scheme for a class of nonlinear parabolic equations. IMA Journal of Numerical Analysis. volum 19 (4).
    Academic article
  • Lie, Knut-Andreas. (1999) A dimensional splitting method for quasilinear hyperbolic equations with variable coefficients. BIT Numerical Mathematics. volum 39 (4).
    Academic article

1998

  • Karlsen, Kenneth Hvistendahl; Brusdal, Kari; Dahle, Helge Ketil; Evje, S.; Lie, K-A. (1998) The corrected operator splitting approach applied to a nonlinear advection-diffusion problem. Computer Methods in Applied Mechanics and Engineering. volum 167 (3/4).
    Academic article
  • Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik; Frøyen, Johnny. (1998) A front-tracking approach to a two-phase fluid-flow model with capillary forces. In situ. volum 22 (1).
    Academic article
  • Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik; Frøyen, Johnny. (1998) A front-tracking approach to a two-phase fluid-flow model with capillary forces. In situ. volum 22 (1).
    Academic article

1997

  • Karlsen, Kenneth Hvistendahl; Brusdal, Kari; Dahle, Helge Ketil; Evje, Steinar; Lie, Knut-Andreas. (1997) The corrected operator splitting approach to a nonlinear advection-diffusion problem. Applied Mathematics Report.
    Academic article

Journal publications

  • Lie, Knut-Andreas; Krogstad, Stein. (2022) Comparison of two different types of reduced graph-based reservoir models: Interwell networks (GPSNet) versus aggregated coarse-grid networks (CGNet). Journal of Petroleum Science and Engineering. volum 221.
    Academic article
  • Oliveira, Gustavo P.; Rodrigues, Thiago N. E.; Lie, Knut-Andreas. (2022) GAWPS: A MRST-based module for wellbore profiling and graphical analysis of flow units. Advances in Geo-Energy Research. volum 6 (1).
    Academic article
  • Klemetsdal, Øystein Strengehagen; Moncorgé, Arthur; Møyner, Olav; Lie, Knut-Andreas. (2021) A numerical study of the additive Schwarz preconditioned exact Newton method (ASPEN) as a nonlinear preconditioner for immiscible and compositional porous media flow. Computational Geosciences.
    Academic article
  • Klemetsdal, Øystein Strengehagen; Moncorgé, Arthur; Nilsen, Halvor Møll; Møyner, Olav; Lie, Knut-Andreas. (2021) An adaptive sequential fully implicit domain-decomposition solver. SPE Journal.
    Academic article
  • Klemetsdal, Øystein Strengehagen; Møyner, Olav; Moncorgé, Arthur; Nilsen, Halvor Møll; Lie, Knut-Andreas. (2021) High-Resolution Compositional Reservoir Simulation with Dynamic Coarsening and Local Timestepping for Unstructured Grids. SPE Journal. volum 26 (6).
    Academic article
  • Ma, Shuai; Ju, Binshan; Zhao, Lin; Lie, Knut-Andreas; Dong, Yintao; Zhang, Qilong; Tian, Yapeng. (2021) Embedded discrete fracture modeling: flow diagnostics, non-Darcy flow, and well placement optimization. Journal of Petroleum Science and Engineering. volum 208 (C).
    Academic article
  • Raynaud, Xavier; Pizzolato, Alberto; Johansson, August; Caresani, Federica; Ferrari, Andrea; Møyner, Olav; Nilsen, Halvor Møll; Cominelli, Alberto; Lie, Knut-Andreas. (2021) Toward accurate reservoir simulations on unstructured grids: design of simple error estimators and critical benchmarking of consistent discretization methods for practical implementation. SPE Journal. volum 26 (6).
    Academic article
  • Watson, Francesca; Krogstad, Stein; Lie, Knut-Andreas. (2021) The use of flow diagnostics to rank model ensembles. Computational Geosciences.
    Academic article
  • Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas. (2020) Dynamic Coarsening and Local Reordered Nonlinear Solvers for Simulating Transport in Porous Media. SPE Journal. volum 25 (04).
    Academic article
  • Linga, Gaute; Møyner, Olav; Nilsen, Halvor Møll; Arthur, Moncorgé; Lie, Knut-Andreas. (2020) An implicit local time-stepping method based on cell reordering for multiphase flow in porous media. Journal of Computational Physics: X. volum 6.
    Academic article
  • Rasmussen, Atgeirr Flø; Sandve, Tor Harald; Bao, Kai; Lauser, Andreas; Hove, Joakim; Skaflestad, Bård; Klöfkorn, Robert; Blatt, Markus; Rustad, Alf Birger; Sævareid, Ove; Lie, Knut-Andreas; Thune, Andreas. (2020) The Open Porous Media Flow Reservoir Simulator. Computers and Mathematics with Applications. volum 81.
    Academic article
  • Klemetsdal, Øystein Strengehagen; Rasmussen, Atgeirr Flø; Møyner, Olav; Lie, Knut-Andreas. (2019) Efficient reordered nonlinear Gauss–Seidel solvers with higher order for black-oil models. Computational Geosciences.
    Academic article
  • Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2019) Accelerating multiscale simulation of complex geomodels by use of dynamically adapted basis functions. Computational Geosciences.
    Academic article
  • Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2019) Robust nonlinear Newton solver with adaptive interface-localized trust regions. SPE Journal. volum 24 (4).
    Academic article
  • Lie, Knut-Andreas. (2019) Executive summary. SPE Journal. volum 24 (4).
    Editorial
  • Lie, Knut-Andreas. (2019) Executive summary. SPE Journal. volum 24 (2).
    Editorial
  • Lie, Knut-Andreas; Mykkeltvedt, Trine Solberg; Møyner, Olav. (2019) A fully implicit WENO scheme on stratigraphic and unstructured polyhedral grids. Computational Geosciences.
    Academic article
  • Marefat, Hassan Ali; Ashjari Aghdam, Muhammad A; Lie, Knut-Andreas. (2019) Preserving vorticity improves the accuracy of multiscale solvers. Journal of Petroleum Science and Engineering. volum 182.
    Academic article
  • Allen, Rebecca; Nilsen, Halvor Møll; Lie, Knut-Andreas; Møyner, Olav; Andersen, Odd. (2018) Using simplified methods to explore the impact of parameter uncertainty on CO2 storage estimates with application to the Norwegian Continental Shelf. International Journal of Greenhouse Gas Control. volum 75.
    Academic article
  • Berge, Runar Lie; Klemetsdal, Øystein; Lie, Knut-Andreas. (2018) Unstructured Voronoi grids conforming to lower-dimensional objects. Computational Geosciences. volum 23 (1).
    Academic article
  • Lie, Knut-Andreas. (2018) Executive summary. SPE Journal. volum 23 (6).
    Editorial
  • Lie, Knut-Andreas. (2018) Executive summary. SPE Journal. volum 23 (04).
    Editorial
  • Lie, Knut-Andreas. (2018) Executive summary. SPE Journal. volum 23 (02).
    Editorial
  • Toft, Raymond; Lie, Knut-Andreas; Møyner, Olav. (2018) Full Approximation Scheme for Reservoir Simulation. NIKT: Norsk IKT-konferanse for forskning og utdanning.
    Academic article
  • Zefreh, Masoud Ghaderi; Nilsen, Halvor Møll; Lie, Knut-Andreas; Raynaud, Xavier; Doster, Florian. (2018) Streamline simulation of a reactive advective flow with discontinuous flux function. Computational Geosciences. volum 23 (2).
    Academic article
  • Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2017) Categorization of Norwegian Continental Shelf formations in terms of geological CO2 storage potentials. Energy Procedia. volum 114.
    Academic article
  • Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2017) On obtaining optimal well rates and placement for CO2 storage. Computational Geosciences. volum 21 (5-6).
    Academic article
  • Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2017) Ranking and categorizing large-scale saline aquifer formations based on optimized CO2 storage potentials and economic factors. International Journal of Greenhouse Gas Control. volum 65.
    Academic article
  • Bao, Kai; Lie, Knut-Andreas; Møyner, Olav; Liu, Ming. (2017) Fully implicit simulation of polymer flooding with MRST. Computational Geosciences. volum 21 (5-6).
    Academic article
  • Krogstad, Stein; Lie, Knut-Andreas; Nilsen, Halvor Møll; Berg, Carl Fredrik; Kippe, Vegard. (2017) Efficient flow diagnostics proxies for polymer flooding. Computational Geosciences. volum 21 (5-6).
    Academic article
  • Lie, Knut-Andreas. (2017) Executive summary. SPE Journal. volum 22 (6).
    Editorial
  • Lie, Knut-Andreas. (2017) Executive summary. SPE Journal. volum 22 (4).
    Editorial
  • Lie, Knut-Andreas. (2017) Executive summary. SPE Journal. volum 22 (2).
    Editorial
  • Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald. (2017) Use of multiple multiscale operators to accelerate simulation of complex geomodels. SPE Journal. volum 22 (06).
    Academic article
  • Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald; Kozlova, Antonina; Bratvedt, Kyrre; Watanabe, Shingo; Li, Zhuoyi. (2017) Successful application of multiscale methods in a real reservoir simulator environment. Computational Geosciences. volum 21 (5-6).
    Academic article
  • Mykkeltvedt, Trine Solberg; Raynaud, Xavier; Lie, Knut-Andreas. (2017) Fully implicit higher-order schemes applied to polymer flooding. Computational Geosciences. volum 21 (5-6).
    Academic article
  • Nilsen, Halvor Møll; Krogstad, Stein; Andersen, Odd; Allen, Rebecca; Lie, Knut-Andreas. (2017) Using sensitivities and vertical-equilibrium models for parameter estimation of CO2 injection models with application to Sleipner data. Energy Procedia. volum 114.
    Academic article
  • Andersen, Odd; Lie, Knut-Andreas; Nilsen, Halvor Møll. (2016) An Open-Source Toolchain for Simulation and Optimization of Aquifer-Wide CO2 Storage. Energy Procedia. volum 86.
    Academic article
  • Hilden, Sindre Tonning; Møyner, Olav; Lie, Knut-Andreas; Bao, Kai. (2016) Multiscale simulation of polymer flooding with shear effects. Transport in Porous Media. volum 113 (1).
    Academic article
  • Lie, Knut-Andreas. (2016) Executive summary. SPE Journal. volum 21 (6).
    Editorial
  • Lie, Knut-Andreas. (2016) Executive summary. SPE Journal. volum 21 (4).
    Editorial
  • Lie, Knut-Andreas. (2016) Executive summary. SPE Journal. volum 21 (2).
    Editorial
  • Møyner, Olav; Lie, Knut-Andreas. (2016) A multiscale restriction-smoothed basis method for compressible black-oil models. SPE Journal. volum 21 (6).
    Academic article
  • Møyner, Olav; Lie, Knut-Andreas. (2016) A multiscale restriction-smoothed basis method for high contrast porous media represented on unstructured grids. Journal of Computational Physics. volum 304.
    Academic article
  • Raynaud, Xavier; Lie, Knut-Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø. (2016) The single-cell transport problem for two-phase flow with polymer. Computational Geosciences. volum 20 (3).
    Academic article
  • Shah, Swej; Møyner, Olav; Tene, Matei; Lie, Knut-Andreas; Hajibeygi, Hadi. (2016) The multiscale restriction smoothed basis method for fractured porous media (F-MsRSB). Journal of Computational Physics. volum 318.
    Academic article
  • Dragland, Åse Kirsti; Brodtkorb, André R.; Rasmussen, Atgeirr Flø; Lie, Knut-Andreas. (2015) Nytt språk gir kjappe simuleringer. Gemini.
    Popular scientific article
  • Kaulmann, Sven; Flemisch, Bernd; Haasdonk, Bernard; Lie, Knut-Andreas; Ohlberger, Mario. (2015) The localized reduced basis multiscale method for two-phase flows in porous media. International Journal for Numerical Methods in Engineering. volum 102 (5).
    Academic article
  • Lie, Knut-Andreas; Nilsen, Halvor Møll; Andersen, Odd; Møyner, Olav. (2015) A simulation workflow for large-scale CO2 storage in the Norwegian North Sea. Computational Geosciences. volum 20 (3).
    Academic article
  • Nilsen, Halvor Møll; Lie, Knut Andreas; Møyner, Olav; Andersen, Odd. (2015) Spill-point analysis and structural trapping capacity in saline aquifers using MRST-co2lab. Computers & Geosciences. volum 75.
    Academic article
  • Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd. (2015) Analysis of CO2 trapping capacities and long-term migration for geological formations in the Norwegian North Sea using MRST-CO2LAB. Petroleum Abstracts (PA). volum 55 (38).
    Abstract
  • Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd. (2015) Analysis of CO2 trapping capacities and long-term migration for geological formations in the Norwegian North Sea using MRST-co2lab. Computers & Geosciences. volum 79.
    Academic article
  • Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd. (2015) Fully-implicit simulation of vertical-equilibrium models with hysteresis and capillary fringe. Computational Geosciences. volum 20 (1).
    Academic article
  • Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd. (2015) Robust simulation of sharp-interface models for fast estimation of CO2 trapping capacity in large-scale aquifer systems. Computational Geosciences. volum Published ahead of print.
    Academic article
  • Pal, Mayur; Lamine, Sadok; Lie, Knut Andreas; Krogstad, Stein. (2015) Validation of the multiscale mixed finite-element method. International Journal for Numerical Methods in Fluids. volum 77 (4).
    Academic article
  • Sætra, Martin Lilleeng; Brodtkorb, André R.; Lie, Knut Andreas. (2015) Efficient GPU-Implementation of Adaptive Mesh Refinement for the Shallow-Water Equations. Journal of Scientific Computing. volum 63 (1).
    Academic article
  • Lie, Knut Andreas; Natvig, Jostein Roald; Krogstad, Stein; Yang, Yahan; Wu, Xiao-Hui. (2014) Grid adaptation for the Dirichlet-Neumann representation method and the multiscale mixed finite-element method. Computational Geosciences. volum 18 (3-4).
    Academic article
  • Lie, Knut Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier. (2014) Fast Simulation of Polymer Injection in Heavy-Oil Reservoirs on the Basis of Topological Sorting and Sequential Splitting. SPE Journal. volum 19 (6).
    Academic article
  • Møyner, Olav; Krogstad, Stein; Lie, Knut-Andreas. (2014) The application of flow diagnostics for reservoir management. SPE Journal. volum 20 (2).
    Academic article
  • Møyner, Olav; Lie, Knut Andreas. (2014) A multiscale two-point flux-approximation method. Journal of Computational Physics. volum 275.
    Academic article
  • Møyner, Olav; Lie, Knut Andreas. (2014) The Multiscale Finite-Volume Method on Stratigraphic Grids. SPE Journal. volum 19 (5).
    Academic article
  • Alpak, Faruk Omer; Pal, Mayur; Lie, Knut-Andreas. (2012) A Multiscale Adaptive Local-Global Method for Modeling Flow in Stratigraphically Complex Reservoirs. SPE Journal. volum 17 (4).
    Academic article
  • Hauge, Vera Louise; Lie, Knut-Andreas; Natvig, Jostein Roald. (2012) Flow-based coarsening for multiscale simulation of transport in porous media. Computational Geosciences. volum 16 (2).
    Academic article
  • Lie, Knut-Andreas; Krogstad, Stein; Ligaard, Ingeborg S; Natvig, Jostein Roald; Nilsen, Halvor Møll; Skaflestad, Bård. (2012) Open-source MATLAB implementation of consistent discretisations on complex grids. Computational Geosciences. volum 16 (2).
    Academic article
  • Lie, Knut-Andreas; Natvig, Jostein Roald; Nilsen, Halvor Møll. (2012) Discussion of dynamics and operator splitting techniques for two-phase flow with gravity. International Journal of Numerical Analysis & Modeling. volum 9 (3).
    Academic article
  • Nilsen, Halvor Møll; Lie, Knut Andreas; Natvig, Jostein Roald. (2012) Accurate modelling of faults by multipoint, mimetic, and mixed methods. SPE Journal. volum 17 (02).
    Academic article
  • Nilsen, Halvor Møll; Natvig, Jostein Roald; Lie, Knut-Andreas. (2012) Accurate Modeling of Faults by Multipoint, Mimetic, and Mixed Methods. SPE Journal. volum 17 (2).
    Academic article
  • Nilsen, Halvor Møll; Syversveen, Anne Randi; Lie, Knut-Andreas; Tveranger, Jan; Nordbotten, Jan Martin. (2012) Impact of top-surface morphology on CO2 storage capacity. International Journal of Greenhouse Gas Control. volum 11.
    Academic article
  • Krotkiewski, Marcin; Ligaard, Ingeborg S; Lie, Knut-Andreas; Schmid, Daniel Walter. (2011) On the importance of the Stokes-Brinkman equations for computing effective permeability in karst reservoirs. Communications in Computational Physics. volum 10 (5).
    Academic article
  • Natvig, Jostein Roald; Skaflestad, Bård; Bratvedt, Frode; Bratvedt, Kyrre; Lie, Knut-Andreas; Laptev, Vsevolod; Khataniar, Sanjoy. (2011) Multiscale Mimetic Solvers for Efficient Streamline Simulation of Fractured Reservoirs. SPE Journal. volum 16 (4).
    Academic article
  • Nilsen, Halvor Møll; Herrera, Paulo; Ashraf, Seyed Meisam; Ligaard, Ingeborg S; Iding, Martin; Hermanrud, Christian; Lie, Knut-Andreas; Nordbotten, Jan Martin; Dahle, Helge K.; Keilegavlen, Eirik. (2011) Field-case simulation of CO2-plume migration using vertical-equilibrium models. Energy Procedia. volum 4.
    Academic article
  • Brodtkorb, Bernt Andre; Hagen, Trond Runar; Lie, Knut-Andreas; Natvig, Jostein Roald. (2010) Simulation and visualization of the Saint-Venant system using GPUs. Computing and Visualization in Science. volum 13 (7).
    Academic article
  • Gulbransen, Astrid Fossum; Hauge, Vera Louise; Lie, Knut-Andreas. (2010) A multiscale mixed finite-element method for vuggy and naturally-fractured reservoirs. SPE Journal. volum 15 (12).
    Academic article
  • Eikemo, Birgitte; Lie, Knut-Andreas; Eigestad, Geir Terje; Dahle, Helge Ketil. (2009) Discontinuous Galerkin methods for advective transport in single-continuum models of fractured media. Advances in Water Resources. volum 32 (4).
    Academic article
  • Stenerud, Vegard Røine; Lie, KA; Kippe, V. (2009) Generalized travel-time inversion on unstructured grids. Journal of Petroleum Science and Engineering. volum 65 (3-4).
    Academic article
  • Stenerud, Vegard Røine; Kippe, Vegard; Lie, Knut-Andreas; Datta-Gupta, Akhil. (2008) Adaptive multiscale streamline simulation and inversion for high-resolution geomodels. SPE Journal. volum 13 (1).
    Academic article
  • Aarnes, Jørg E.; Krogstad, Stein; Lie, Knut-Andreas. (2008) Multiscale mixed/mimetic methods on corner-point grids. Computational Geosciences. volum 12 (3).
    Academic article
  • Juanes, Ruben; Lie, Knut-Andreas. (2008) Numerical modeling of multiphase first-contact miscible flows. Part 2. Front-tracking/streamline simulation. Transport in Porous Media. volum 72 (1).
    Academic article
  • Kippe, Vegard; Aarnes, Jørg E.; Lie, Knut-Andreas. (2008) A comparison of multiscale methods for elliptic problems in porous media flow. Computational Geosciences. volum 12 (3).
    Academic article
  • Natvig, Jostein Roald; Lie, Knut-Andreas. (2008) Fast computation of multiphase flow in porous media by implicit discontinuous Galerkin schemes with optimal ordering of elements. Journal of Computational Physics. volum 227 (24).
    Academic article
  • Stenerud, Vegard Røine; Kippe, Vegard; Lie, Knut-Andreas; Datta-Gupta, Akhil. (2008) Adaptive multiscale streamline simulation and inversion for high-resolution geomodels. SPE Journal. volum 13 (1).
    Academic article
  • Hægland, Håkon; Dahle, Helge K.; Eigestad, G. T.; Lie, Knut-Andreas; Aavatsmark, Ivar. (2007) Improved streamlines and time-of-flight for streamline simulation on irregular grids. Advances in Water Resources. volum 30 (4).
    Academic article
  • Hægland, Håkon; Dahle, Helge Ketil; Eigestad, Geir Terje; Lie, Knut-Andreas; Aavatsmark, Ivar. (2007) Improved streamlines and time-of-flight for streamline simulation on irregular grids. Advances in Water Resources. volum 30 (4).
    Academic article
  • Juanes, Ruben; Lie, Knut-Andreas. (2007) Numerical modeling of multiphase first-contact miscible flows. Part 1. Analytical Riemann solver. Transport in Porous Media. volum 67 (3).
    Academic article
  • Natvig, Jostein R.; Lie, Knut-Andreas; Eikemo, Birgitte; Berre, Inga. (2007) An efficient discontinuous Galerkin method for advective transport in porous media. Advances in Water Resources. volum 30 (12).
    Academic article
  • Aarnes, Jørg; Krogstad, Stein; Lie, Knut-Andreas. (2006) A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform coarse grids. Multiscale Modeling & simulation. volum 5 (2).
    Academic article
  • Hagen, Trond Runar; Lie, Knut-Andreas; Natvig, Jostein Roald. (2006) Solving the Euler equations on graphics processing units. Lecture Notes in Computer Science (LNCS). volum 3994.
    Academic article
  • Aarnes, Jørg Espen; Kippe, Vegard; Lie, Knut-Andreas. (2005) Mixed multiscale finite elements and streamline methods for reservoir simulation of large geomodels. Advances in Water Resources. volum 28 (3).
    Academic article
  • Hagen, Trond R; Hjelmervik, Jon M.; Lie, Knut-Andreas; Natvig, Jostein Roald; Henriksen, M.. (2005) Visual simulation of shallow-water waves. Simulation modelling practice and theory. volum 13 (8).
    Academic article
  • Lie, Knut-Andreas; Aarnes, Jørg Espen; Kippe, Vegard; Krogstad, Stein. (2005) Multiscale Methods for Flow in Porous Media. Rakenteiden Mekaniikka. volum 38 (3).
    Academic article
  • Lie, Knut-Andreas; Juanes, Ruben. (2005) A front-tracking method for the simulation of three-phase flow in porous media. Computational Geosciences. volum 9 (1).
    Academic article
  • Berre, Inga; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein R.. (2005) Fast computation of arrival times in heterogeneous media. Computational Geosciences. volum 9 (4).
    Academic article
  • Lie, Knut-Andreas. (2003) An improved quadrature rule for the flux-computation in staggered central difference schemes in multidimensions. Journal of Scientific Computing. volum 18 (1).
    Academic article
  • Lie, Knut-Andreas. (2003) On the artificial compression method for second-order nonoscillatory central difference schemes for systems of conservation laws. SIAM Journal on Scientific Computing. volum 24 (4).
    Academic article
  • Berre, Inga; Dahle, Helge Ketil; Karlsen, Kenneth H.; Lie, Knut-Andreas; Natvig, Jostein R.. (2002) Time-of-flight + fast Marching + transport collapse: an alternative to streamlines for tow-phase porous media flow with capillary forces?. Developments in Water Science. volum 47.
    Academic article
  • Dahle, Helge Ketil; Karlsen, Kenneth Hvistendahl; Lie, Knut-A.; Natvig, Jostein R.. (2001) Corrected operator splitting for systems of convection-diffusion equations. MANGLER.
    Academic article
  • Haugse, Vidar; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein. (2001) Numerical solution of the polymer system by front tracking. Transport in Porous Media. volum 44 (1).
    Academic article
  • Haugse, Vidar; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald. (2001) Numerical solution of the polymer system by front tracking. Transport in Porous Media. volum 44 (1).
    Academic article
  • Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald; Nordhaug, Hans Fredrik; Dahle, Helge Ketil. (2001) Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies. Journal of Computational Physics. volum 173 (2).
    Academic article
  • Bürger, Raymond; Evje, Steinar; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Numerical methods for the simulation of the settling of flocculated suspensions. Chemical Engineering Journal. volum 80.
    Academic article
  • Evje, Steinar; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (2000) Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations. IMA Journal of Applied Mathematics. volum 120.
    Academic article
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. CMS Conference Proceedings Series. volum 29.
    Academic article
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. Computational Geosciences. volum 4.
    Academic article
  • Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (2000) A fast marching method for reservoir simulation. Computational Geosciences. volum 4.
    Academic article
  • Lie, Knut-Andreas. (2000) Front tracking for one-dimensional quasilinear hyperbolic equations with variable coefficients. Numerical Algorithms. volum 24 (3).
    Academic article
  • Holdahl, Runar; Holden, Helge; Lie, Knut Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics. volum 39.
    Academic article
  • Holden, Helge; Lie, Knut-Andreas; Risebro, N.H.. (1999) An Unconditionally Stable Method for the Euler Equations. Journal of Computational Physics. volum 150.
    Academic article
  • Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (1999) An unconditionally stable splitting for a class of nonlinear parabolicequations. IMA Journal of Numerical Analysis. volum 19.
    Academic article
  • Holdahl, Runar; Holden, Helge; Lie, Knut-Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics. volum 39 (3).
    Academic article
  • Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) An unconditionally stable method for the Euler equations. Journal of Computational Physics.
    Academic article
  • Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (1999) An unconditionally stable splitting scheme for a class of nonlinear parabolic equations. IMA Journal of Numerical Analysis. volum 19 (4).
    Academic article
  • Lie, Knut-Andreas. (1999) A dimensional splitting method for quasilinear hyperbolic equations with variable coefficients. BIT Numerical Mathematics. volum 39 (4).
    Academic article
  • Karlsen, Kenneth Hvistendahl; Brusdal, Kari; Dahle, Helge Ketil; Evje, S.; Lie, K-A. (1998) The corrected operator splitting approach applied to a nonlinear advection-diffusion problem. Computer Methods in Applied Mechanics and Engineering. volum 167 (3/4).
    Academic article
  • Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik; Frøyen, Johnny. (1998) A front-tracking approach to a two-phase fluid-flow model with capillary forces. In situ. volum 22 (1).
    Academic article
  • Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik; Frøyen, Johnny. (1998) A front-tracking approach to a two-phase fluid-flow model with capillary forces. In situ. volum 22 (1).
    Academic article
  • Karlsen, Kenneth Hvistendahl; Brusdal, Kari; Dahle, Helge Ketil; Evje, Steinar; Lie, Knut-Andreas. (1997) The corrected operator splitting approach to a nonlinear advection-diffusion problem. Applied Mathematics Report.
    Academic article

Books

  • Kvamsdal, Trond; Mathisen, Kjell Magne; Lie, Knut-Andreas; Larson, Mats G.. (2022) 8th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2022). European Community on Computional Methods in Applied Sciences (ECCOMAS). 2022. ISBN 9788412322286.
    Academic anthology/Conference proceedings
  • Lie, Knut-Andreas; Møyner, Olav. (2021) Advanced Modeling with the MATLAB Reservoir Simulation Toolbox. Cambridge University Press. 2021. ISBN 9781009019781.
    Academic anthology/Conference proceedings
  • Lie, Knut-Andreas. (2019) An Introduction to Reservoir Simulation Using MATLAB/GNU Octave: User Guide for the MATLAB Reservoir Simulation Toolbox (MRST). Cambridge University Press. 2019. ISBN 9781108492430.
    Academic monograph
  • Vink, Jeroen; Klie, Hektor; Austin, Andy; Beckner, Brett; Bratvedt, Kyrre; Cao, Hui; Cominelli, Alberto; Ding, Didier-Yu; Fung, Larry; Geiger, Sebastian; Gerritsen, Margot; Guo, Ying; Jansen, Jan-Dirk; Lie, Knut-Andreas; Mallison, Bradley T.; Muggeridge, A.; Shaw, Gareth; Shrivastava, Vijay; Tchelepi, Hamdi; Wheeler, Mary F.; Wu, Xiao-Hui; Younis, Rami; Zhang, Dong. (2017) SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA. Society of Petroleum Engineers. 2017. ISBN 978-1-61399-483-2.
    Academic anthology/Conference proceedings
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (2010) Splitting Methods for Partial Differential Equations with Rough Solutions. Analysis and Matlab Programs. European Mathematical Society Publishing House. 2010. ISBN 978-3-03719-078-4.
    Academic monograph
  • Tai, Xue-C.; Mørken, K.; Lysaker, O.M.; Lie, Knut-A.. (2009) Scale Space and Variational Methods in Computer Vision. Second International Conference, SSVM 2009. Springer. 2009. ISBN 978-3-642-02255-5.
    Academic anthology/Conference proceedings
  • Tai, Xue-Cheng; Mørken, Knut Martin; Lysaker, Marius; Lie, Knut-Andreas. (2009) Scale Space and Variational Methods in Computer Vision. Springer. 2009. ISBN 978-3-642-02255-5. Lecture Notes in Computer Science (5567).
    Academic anthology/Conference proceedings
  • Hasle, Geir; Lie, Knut-Andreas; Quak, Ewald Gunther. (2007) Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF. Springer Publishing Company. 2007. ISBN 978-3-540-68782-5.
    Academic anthology/Conference proceedings
  • Hasle, Geir; Lie, Knut-Andreas; Quak, Ewald Gunther. (2007) Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF. Springer. 2007. ISBN 9783540687825.
    Academic anthology/Conference proceedings
  • Tai, Xue-Cheng; Lie, Knut-Andreas; Chan, Tony F.; Osher, Stanley. (2007) Image Processing based on Partial differential equations. Springer. 2007. ISBN 978-3-540-33266-4.
    Academic anthology/Conference proceedings
  • Tai, Xue-Cheng; Lie, Knut-Andreas; Chan, Tony; Osher, Stanley. (2006) Image Processing based on Partial differential equations. Springer. 2006. ISBN 978-3-540-33266-4. Mathematics and Visualization (18).
    Academic anthology/Conference proceedings

Part of book/report

  • Lie, Knut-Andreas; Krogstad, Stein. (2022) Data-Driven Modelling with Coarse-Grid Network Models. Proceedings of the European Conference on the Mathematics of Geological Reservoirs (ECMOR 2022).
    Academic chapter/article/Conference paper
  • Møyner, Olav; Rasmussen, Atgeirr Flø; Klemetsdal, Øystein; Nilsen, Halvor Møll; Arthur, Moncorgé; Lie, Knut-Andreas. (2022) Nonlinear Domain Decomposition Preconditioning for Robust and Efficient Field-Scale Simulation of Subsurface Flow. Proceedings of the European Conference on the Mathematics of Geological Reservoirs (ECMOR 2022).
    Academic chapter/article/Conference paper
  • Berge, Runar Lie; Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas. (2021) Unstructured PEBI Grids Conforming to Lower-Dimensional Objects. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
    Academic chapter/article/Conference paper
  • Borregales Reveron, Manuel Antonio; Holm, Håvard Heitlo; Møyner, Olav; Krogstad, Stein; Lie, Knut-Andreas. (2021) Numerical Comparison Between ES-MDA and Gradient-Based Optimization for History Matching of Reduced Reservoir Models. SPE Reservoir Simulation Conference, On-Demand, October 2021.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas. (2021) Implicit Discontinuous Galerkin Methods for Transport Equations in Porous Media. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas; Møyner, Olav. (2021) Multiscale Pressure Solvers for Stratigraphic and Polytopal Grids. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas; Møyner, Olav. (2021) Preface. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
    Foreword
  • Sun, Xin; Lie, Knut-Andreas; Bao, Kai. (2021) Using State Functions and MRST’s AD-OO Framework to Implement Simulators for Chemical EOR. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
    Academic chapter/article/Conference paper
  • Borregales Reveron, Manuel Antonio; Møyner, Olav; Krogstad, Stein; Lie, Knut-Andreas. (2020) Data-Driven Models Based on Flow Diagnostics. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 14-17 September 2020.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein Strengehagen; Moncorgé, Arthur; Møyner, Olav; Lie, Knut-Andreas. (2020) Additive Schwarz Preconditioned Exact Newton Method as a Nonlinear Preconditioner for Multiphase Porous Media Flow. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 14-17 September 2020.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein Strengehagen; Møyner, Olav; Raynaud, Xavier; Lie, Knut-Andreas. (2020) A Comparison of Consistent Discretizations for Elliptic Problems on Polyhedral Grids. Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples.
    Academic chapter/article/Conference paper
  • Nilsen, Halvor Møll; Arthur, Moncorgé; Bao, Kai; Møyner, Olav; Lie, Knut-Andreas; Brodtkorb, Andre. (2020) Comparison between algebraic multigrid and multilevel multiscale methods for reservoir simulation. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 14-17 September 2020.
    Academic chapter/article/Conference paper
  • Watson, Francesca; Krogstad, Stein; Lie, Knut-Andreas. (2020) Flow diagnostics for model ensembles. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 14-17 September 2020.
    Academic chapter/article/Conference paper
  • Guion, Alexandre Nicolas; Skaflestad, Bård; Lie, Knut-Andreas; Wu, Xiao-Hui. (2019) Validation of a non-uniform coarsening and upscaling framework. SPE Reservoir Simulation Conference, 10-11 April, Galveston, Texas, USA.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2019) Implicit high-resolution compositional simulation with optimal ordering of unknowns and adaptive spatial refinement. SPE Reservoir Simulation Conference, 10-11 April, Galveston, Texas, USA.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2018) Use of dynamically adapted basis functions to accelerate multiscale simulation of complex geomodels. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein; Rasmussen, Atgeirr Flø; Møyner, Olav; Lie, Knut-Andreas. (2018) Nonlinear Gauss-Seidel solvers with higher order for black-oil models. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas. (2018) On Holden's seven guidelines for scientific computing and development of open-source community software. Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas; Mykkeltvedt, Trine Solberg; Møyner, Olav. (2018) Fully implicit WENO schemes on stratigraphic and fully unstructured grids. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein; Berge, Runar Lie; Lie, Knut-Andreas; Nilsen, Halvor Møll; Møyner, Olav. (2017) Unstructured Gridding and Consistent Discretizations for Reservoirs with Faults and Complex Wells. SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA.
    Academic chapter/article/Conference paper
  • Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2017) Non-linear Newton Solver for a Polymer Two-phase System Using Interface-localized Trust Regions. 19th European Symposium on Improved Oil Recovery/IOR Norway 2017.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas; Kedia, Kushal; Skaflestad, Bård; Wang, Xioachen; Yang, Yahan; Wu, Xiao-Hui; Hoda, Nazish. (2017) A General Non-Uniform Coarsening and Upscaling Framework for Reduced-Order Modeling. SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA.
    Chapter
  • Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald. (2017) A Feature-Enriched Multiscale Method for Simulating Complex Geomodels. SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA.
    Chapter
  • Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2016) On Obtaining Optimal Well Rates and Placement for CO2 Storage. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
    Academic chapter/article/Conference paper
  • Bao, Kai; Lie, Knut-Andreas; Møyner, Olav; Liu, Ming. (2016) Fully Implicit Simulation of Polymer Flooding with MRST. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
    Academic chapter/article/Conference paper
  • Krogstad, Stein; Lie, Knut-Andreas; Nilsen, Halvor Møll; Berg, Carl Fredrik; Kippe, Vegard. (2016) Flow diagnostics for optimal polymer injection strategies. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas; Mykkeltvedt, Trine Solberg; Raynaud, Xavier. (2016) Fully Implicit Higher-order Schemes Applied to Polymer Flooding. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald; Antonina, Kozlova; Bratvedt, Kyrre; Watanabe, S; Li, Z. (2016) Successful Application of Multiscale Methods in a Real Reservoir Simulator Environment. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
    Academic chapter/article/Conference paper
  • Krogstad, Stein; Lie, Knut-Andreas; Møyner, Olav; Nilsen, Halvor Møll; Raynaud, Xavier; Skaflestad, Bård. (2015) MRST-AD: an open-source framework for rapid prototyping and evaluation of reservoir simulation problems. SPE Reservoir Simulation Symposium, 23-25 February 2015, Houston, Texas, USA.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas. (2015) Hyperbolic Conservation Laws: Computation. Encyclopedia of Applied and Computational Mathematics.
    Lexical introduction
  • Lie, Knut-Andreas; Mallison, Bradley T.. (2015) Mathematical models for oil reservoir simulation. Encyclopedia of Applied and Computational Mathematics.
    Lexical introduction
  • Lie, Knut-Andreas; Møyner, Olav; Krogstad, Stein. (2015) Application of Flow Diagnostics and Multiscale Methods for Reservoir Management. SPE Reservoir Simulation Symposium, 23-25 February 2015, Houston, Texas, USA.
    Academic chapter/article/Conference paper
  • Møyner, Olav; Lie, Knut-Andreas. (2015) A multiscale method based on restriction-smoothed basis functions suitable for general grids in high contrast media. SPE Reservoir Simulation Symposium, 23-25 February 2015, Houston, Texas, USA.
    Academic chapter/article/Conference paper
  • Andersen, Odd; Nilsen, Halvor Møll; Lie, Knut-Andreas. (2014) Reexamining CO2 Storage Capacity and Utilization of the Utsira Formation. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
    Academic chapter/article/Conference paper
  • Hilden, Sindre Kristensen; Lie, Knut-Andreas; Raynaud, Xavier. (2014) Steady State Upscaling of Polymer Flooding. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas; Nilsen, Halvor Møll; Andersen, Odd; Møyner, Olav. (2014) A Simulation Workflow for Large-scale CO2 Storage in the Norwegian North Sea. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
    Academic chapter/article/Conference paper
  • Mykkeltvedt, Trine; Aavatsmark, Ivar; Lie, Knut-Andreas. (2014) Numerical Aspects of Polymer Flood Modeling. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
    Academic chapter/article/Conference paper
  • Rasmussen, Atgeirr Flø; Lie, Knut-Andreas. (2014) Discretization of Flow Diagnostics on Stratigraphic and Unstructured Grids. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
    Academic chapter/article/Conference paper
  • Raynaud, Xavier; Lie, Knut-Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø. (2014) Well-posedness of the Single-cell Transport Problem for Two-phase Flow with Polymer. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
    Academic chapter/article/Conference paper
  • Lie, Knut Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier. (2013) Fast Simulation of Polymer Injection in Heavy-Oil Reservoirs Based on Topological Sorting and Sequential Splitting. SPE reservoir simulation symposium 2013 : The Woodlands, Texas, USA, 18-20 February 2013.
    Academic chapter/article/Conference paper
  • Møyner, Olav; Lie, Knut Andreas. (2013) The multiscale finite volume method on unstructured grids. SPE reservoir simulation symposium 2013 : The Woodlands, Texas, USA, 18-20 February 2013.
    Academic chapter/article/Conference paper
  • Pal, Mayur; Lamine, Sadok; Lie, Knut Andreas; Krogstad, Stein. (2013) Multiscale method for simulating two and three-phase flow in porous media. SPE reservoir simulation symposium 2013 : The Woodlands, Texas, USA, 18-20 February 2013.
    Academic chapter/article/Conference paper
  • Krogstad, Stein; Lie, Knut-Andreas; Skaflestad, Bård. (2012) Mixed multiscale methods for compressible flow. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB.
    Other
  • Lie, Knut-Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier Marcel. (2012) An unconditionally stable splitting method using reordering for simulating polymer injection. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB.
    Other
  • Natvig, Jostein Roald; Lie, Knut-Andreas; Krogstad, Stein; Yang, Yahan; Wu, Xiao-Hui. (2012) Grid adaption for upscaling and multiscale methods. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB.
    Other
  • Pal, Mayur; Lamine, Sadok; Lie, Knut-Andreas; Krogstad, Stein. (2012) Multiscale methods for two and three-phase flow simulation in subsurface petroleum reservoirs. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB.
    Other
  • Syversveen, Anne Randi; Nilsen, Halvor Møll; Lie, Knut-Andreas; Tveranger, Jan; Abrahamsen, Petter. (2012) A Study on How Top-Surface Morphology Influences the Storage Capacity of CO2 in Saline Aquifers. Geostatistics Oslo 2012.
    Academic chapter/article/Conference paper
  • Alpak, Faruk Omer; Pal, Mayur; Lie, Knut-Andreas. (2011) A Multiscale Method for Modeling Flow in Stratigraphically Complex Reservoirs. SPE Reservoir Simulation Symposium 2011 : 21-23 February 2011, The Woodlands, Texas, USA.
    Academic chapter/article/Conference paper
  • Ashraf, Seyed Meisam; Lie, Knut Andreas; Nilsen, Halvor Møll; Skorstad, Arne; Nordbotten, Jan M.. (2010) Impact of geological heterogeneity on early-stage CO2 plume migration. Conference Proceedings ECMOR XII.
    Academic chapter/article/Conference paper
  • Lie, Knut-Andreas. (2010) Multiscale methods for subsurface flow. Computational Science and Engineering: Challenges and Opportunities.
    publications.POPVIT_KAPITTEL
  • Aarnes, JE; Lie, Knut-Andreas; Kippe, V; Krogstad, Stein. (2009) Multiscale methods for subsurface flow. Multiscale Modeling and Simulation in Science.
    Academic chapter/article/Conference paper
  • Gulbransen, Astrid Fossum; Hauge, Vera Louise; Lie, Knut-Andreas. (2009) A Multiscale Mixed Finite-Element Method for Vuggy and Naturally-Fractured Reservoirs. SPE Reservoir Simulation Symposium, 2-4 February 2009, The Woodlands, Texas, USA.
    Academic chapter/article/Conference paper
  • Nilsen, Halvor Møll; Lie, Knut-Andreas. (2009) Front-tracking methods for use in streamline simulation of compressible flow. SPE Reservoir Simulation Symposium, 2-4 February 2009, The Woodlands, Texas, USA.
    Academic chapter/article/Conference paper
  • Aarnes, Jørg Espen; Lie, Knut-Andreas; Kippe, Vegard; Krogstad, Stein. (2008) Multiscale methods for subsurface flow. Multiscale Modeling and Simulation in Science.
    Academic chapter/article/Conference paper
  • Gulbransen, Astrid Fossum; Hauge, Vera Louise; Lie, Knut-Andreas. (2008) A multiscale mixed finite-element method for vuggy and naturally-fractured reservoirs. 21st Nordic Seminar on Computational Mechanics.
    Academic chapter/article/Conference paper
  • Natvig, Jostein Roald; Lie, Knut-Andreas. (2008) On Efficient Implicit Upwind Schemes. Proceedings of the 11th European Conference on the Mathematics of Oil Recovery.
    Academic chapter/article/Conference paper
  • Nilsen, Halvor Møll; Lie, Knut-Andreas. (2008) On Front Tracking for Compressible Flow. Proceedings of the 11th European Conference on the Mathematics of Oil Recovery.
    Academic chapter/article/Conference paper
  • Aarnes, Jørg E.; Gimse, Tore; Lie, Knut-Andreas. (2007) An Introduction to the Numerics of Flow in Porous Media using Matlab. Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF.
    Academic chapter/article/Conference paper
  • Aarnes, Jørg E.; Kippe, Vegard; Lie, Knut-Andreas; Rustad, Alf Birger. (2007) Modelling of Multiscale Structures in Flow Simulations for Petroleum Reservoirs. Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF.
    Academic chapter/article/Conference paper
  • Hagen, Trond Runar; Henriksen, Martin O.; Hjelmervik, Jon M.; Lie, Knut-Andreas. (2007) How to Solve Systems of Conservation Laws Numerically Using the Graphics Processor as a High-Performance Computational Engine. Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF.
    Lexical introduction
  • Hagen, Trond Runar; Henriksen, Martin O; Hjelmervik, Jon M.; Lie, Knut-Andreas. (2007) How to solve systems of conservation laws numerically using the graphics processor as a high-performance computational engine. Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF.
    Academic chapter/article/Conference paper
  • Aarnes, Jørg; Kippe, V; Lie, Knut-Andreas. (2006) Multiscale methods and streamline simulation for rapid reservoir performance prediction. Progress in Industrial Mathematics at ECMI 2004.
    Academic chapter/article/Conference paper
  • Aarnes, Jørg; Krogstad, Stein; Lie, Knut-Andreas; Natvig, Jostein Roald. (2006) Fast sequential implicit porous media flow simulations using multiscale finite elements and reordering of cells for solution of nonlinear transport equation. 10th European Conference on the Mathematics of Oil Recovery ECMOR X, 04 September 2006.
    Academic chapter/article/Conference paper
  • Hagen, Trond Runar; Lie, Knut-Andreas; Natvig, Jostein Roald. (2006) Solving the Euler equations on graphical processing units. Computational Science - ICCS 2006, Pt. 4, Proceedings.
    Academic chapter/article/Conference paper

Report

  • Lie, Knut-Andreas; Krogstad, Stein; Watson, Francesca. (2020) User Guide to Flow Diagnostics Postprocessing - Simulations in MRST and ECLIPSE Output Format. 2020. ISBN 978-82-14-06438-4.
    Report
  • Lie, Knut-Andreas; Krogstad, Stein; Watson, Francesca; Borregales Reveron, Manuel Antonio. (2020) User Guide to Flow Diagnostics in MRST - Flow Diagnostics Preprocessors for Model Ensembles. 2020. ISBN 978-82-14-06437-7.
    Report
  • Tjåland, Egil; Kvamsdal, Trond; Amundsen, Jørn Aslak; Lie, Knut-Andreas; Maincon, Philippe; Rønquist, Einar; Skjetne, Paal; Åstrand, Per-Olof; Nystad, Arild Normann. (2010) Computational Science and Engineering: Challenges and Opportunities. 2010. ISBN 978-82-995202-0-1.
    Report
  • Stenerud, Vegard Røine; Lie, Knut-Andreas. (2007) Streamline-Based History Matching: A Review. 2007. ISBN 978-82-14-04075-3. SINTEF Rapport (A4109).
    Report
  • Aarnes, Jørg; Krogstad, Stein; Lie, Knut-Andreas; Laptev, V. (2006) Multiscale Mixed Methods on Corner-Point grids: Mimetic versus Mixed Subgrid Solvers. 2006. ISBN 8214040426. SINTEF Rapport (A578).
    Report
  • Lie, K. A.; Tveito, Aslak. (2004) Development of a staggered central difference scheme that does not use a spatial reconstruction. 2004.
    Report
  • Berre, I.; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald. (2003) Fast computation of arrival times in heterogeneous. 2003. ISBN 82-553-1372-9.
    Report
  • Haugse, V; Karlsen, Kenneth Hvistendahl; Lie, K-A; Natvig, JR. (1999) Numerical solution of the polymer system by front tracking. 1999. Preprint.
    Report
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. 1999. Preprint.
    Report
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. 1999. Preprint.
    Report
  • Karlsen, Kenneth Hvistendahl; Lie, K-A; Risebro, NH. (1999) A fast level set method for reservoir simulation. 1999. Preprint.
    Report

PRODUKT

  • Andersen, Odd; Bao, Kai; Hilden, Sindre Tonning; Krogstad, Stein; Lie, Knut-Andreas; Møyner, Olav; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier; Skaflestad, Bård. (2015) Matlab Reservoir Simulation Toolbox: MRST 2015a. SINTEF ICT, Oslo. 2015.
    Software
  • Flornes, Kristin Margrethe; Lie, Knut-Andreas; Rustad, Alf Birger; Bao, Kai; Blatt, Markus; Brodtkorb, André R.; Brudevoll, Edvin; Fløysand, Christine; Hove, Joakim; Klöfkorn, Robert; Kvarving, Arne Morten; Lauser, Andreas; Rasmussen, Atgeirr Flø; Sandve, Tor Harald; Skaflestad, Bård; Sævareid, Ove. (2015) The Open Porous Media Initiative -- Release 2015.04. www.opm-project.org, www.opm-project.org. 2015.
    Software
  • Flornes, Kristin Margrethe; Lie, Knut-Andreas; Rustad, Alf Birger; Bao, Kai; Blatt, Markus; Brodtkorb, André Rigland; Fløysand, Christine; Gundersen, Fredrik; Hove, Joakim; Klöfkorn, Robert; Kvarving, Arne Morten; Lauser, Andreas; Rasmussen, Atgeirr Flø; Sandve, Tor Harald; Skaflestad, Bård; Sævareid, Ove. (2015) The Open Porous Media Initiative -- Release 2015.10. www.opm-project.org, www.opm-project.org. 2015.
    Software

Media

2023

  • Academic lecture
    Lie, Knut-Andreas. (2023) The MATLAB Reservoir Simulation Toolbox (MRST). DARTS workshop . TU Delft; Delft, Nederland. 2023-03-07 - 2023-03-08.

2022

  • Academic lecture
    Lie, Knut-Andreas. (2022) Building an open-source community for subsurface flow simulation. 36th International ECMS Conference on Modelling & Simulation . NTNU; Ålesund. 2022-05-31 - 2022-06-03.
  • Lecture
    Lie, Knut-Andreas. (2022) Introduction to the MATLAB Reservoir Simulation Toolbox (MRST). Introduction to the MATLAB Reservoir Simulation Toolbox (MRST) . Indian Institute of Technology Kharagpur; Online. 2022-10-26 - 2022-10-28.
  • Lecture
    Lie, Knut-Andreas. (2022) Open-source simulation technology for flow and transport in porous media. IPRA Seminar . Institut Pluridisciplinaire de Recherche Appliquée, L'Université de Pau et des Pays de l'Adour; Online. 2022-05-05 - 2022-05-05.
  • Academic lecture
    Lie, Knut-Andreas; Krogstad, Stein. (2022) Data-Driven Modelling with Coarse-Grid Network Models. ECMOR 2022 . EAGE; The Hague. 2022-09-05 - 2022-09-07.

2021

  • Academic lecture
    Berge, Runar Lie; Lie, Knut-Andreas; Klemetsdal, Øystein Strengehagen. (2021) The UPR module. MRST Symposium . SINTEF DIgital; Online. 2021-09-14 - 2021-09-15.
  • Academic lecture
    Klemetsdal, Øystein Strengehagen; Borregales Reveron, Manuel Antonio; Lie, Knut-Andreas; Krogstad, Stein. (2021) Multifidelity Multilevel Monte Carlo Method for Reservoir Simulation. SIAM Conference on Mathematical & Computational Issues in the Geosciences . Society of Industrial and Applied Mathematics; Online. 2021-06-21 - 2021-06-24.
  • Academic lecture
    Klemetsdal, Øystein Strengehagen; Moncorgé, Arthur; Nilsen, Halvor Møll; Møyner, Olav; Lie, Knut-Andreas. (2021) An Adaptive Sequential Fully Implicit Domain-Decomposition Solver. SPE Reservoir Simulation Conference 2021 ; 2021-10-26 - 2022-01-25.
  • Academic lecture
    Klemetsdal, Øystein Strengehagen; Møyner, Olav; Arthur, Moncorgé; Nilsen, Halvor Møll; Lie, Knut-Andreas. (2021) High-resolution compositional reservoir simulation with dynamic coarsening and local timestepping for unstructured grids. SPE Reservoir Simulation Conference 2021 . Society of Petroleum Engineers; 2021-10-26 - 2022-01-25.
  • Academic lecture
    Klemetsdal, Øystein Strengehagen; Nilsen, Halvor Møll; Møyner, Olav; Moncorgé, Arthur; Lie, Knut-Andreas. (2021) Nonlinear Domain Decomposition Preconditioning for Field-Scale Subsurface Flow Simulation. SIAM Conference on Mathematical & Computational Issues in the Geosciences . Society of Industrial and Applied Mathematics; Online. 2021-06-21 - 2021-06-24.
  • Academic lecture
    Lie, Knut-Andreas. (2021) A quick overview of MRST and some of its most recent features. MRST Symposium . SINTEF Digital; online. 2021-09-14 - 2021-09-15.
  • Academic lecture
    Lie, Knut-Andreas. (2021) Graph-based methods for reduced-order reservoir simulation. SIAM Geosciences Webinar Series . SIAM Activity Group on Geosciences; Online: https://www.youtube.com/watch?v=klBA0i36CDk. 2021-12-09 - 2021-12-09.
  • Lecture
    Lie, Knut-Andreas. (2021) Introduction to the MATLAB Reservoir Simulation Toolbox (MRST). Workshop on MATLAB based Oil and Gas Reservoir Simulation . Deysarkar Centre of Excellence in Petroleum Engineering; online (Indian Institute of Technology Kharagpur). 2021-03-27 - 2021-03-28.
  • Lecture
    Lie, Knut-Andreas. (2021) Modelling CO2 storage in large-scale aquifer systems. Mathematics seminar series . Kaunas University of Technology; online. 2021-11-18 - 2021-11-18.
  • Academic lecture
    Lie, Knut-Andreas. (2021) Understanding interwell communication and dynamic heterogeneity: from time-of-flight and tracers to flow diagnostics and data-driven modelling. Workshop on the occasion of Helge K. Dahle’s 60th birthday . Universitetet i Bergen; Bergen. 2021-11-30 - 2021-11-30.

2020

  • Poster
    Borregales Reveron, Manuel Antonio; Krogstad, Stein; Lie, Knut-Andreas. (2020) A very simple data-driven model based on flow diagnostics for reservoir management. Geilo Winter Schools 2020: Modern Techniques and Algorithms in HPC . Sintef; Geilo. 2020-01-19 - 2020-01-24.
  • Academic lecture
    Borregales Reveron, Manuel Antonio; Krogstad, Stein; Lie, Knut-Andreas. (2020) Data-driven models based on flow diagnostic and machine learning techniques. 12th InterPore Annual Meeting (InterPore 2020) . InterPore; Qingdao. 2020-08-31 - 2020-09-04.
  • Poster
    Borregales Reveron, Manuel Antonio; Møyner, Olav; Krogstad, Stein; Lie, Knut-Andreas. (2020) Data-Driven Models Based on Flow Diagnostics. ECMOR XVII - 5th European Conference on the Mathematics of Oil Recovery ; 2020-09-14 - 2020-09-17.
  • Academic lecture
    Klemetsdal, Øystein Strengehagen; Arthur, Moncorgé; Møyner, Olav; Lie, Knut-Andreas. (2020) Additive Schwarz Preconditioned Exact Newton Method as a Nonlinear Preconditioner for Multiphase Porous Media Flow. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery . EAGE; 2020-09-14 - 2020-09-17.
  • Academic lecture
    Klemetsdal, Øystein Strengehagen; Collignon, Marine; Møyner, Olav; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2020) Geothermal Simulation Using MRST. 12th InterPore Annual Meeting (InterPore 2020) . InterPore; Online. 2020-08-31 - 2020-09-03.
  • Academic lecture
    Klemetsdal, Øystein Strengehagen; Krogstad, Stein; Lie, Knut-Andreas. (2020) Reduced-Physics Multilevel Monte Carlo Methods for Uncertainty Quantification in Complex Reservoirs. 12th InterPore Annual Meeting (InterPore 2020) . InterPore; Online. 2020-08-31 - 2020-09-03.
  • Academic lecture
    Klemetsdal, Øystein Strengehagen; Møyner, Olav; Nilsen, Halvor Møll; Lie, Knut-Andreas. (2020) How to use recent developments of the MATLAB Reservoir Simulation Toolbox for fast prototyping of complex fluid models. NCCS Webinarserie . Norwegian CCS Research Centre; Trondheim. 2020-10-06 - 2020-10-06.
  • Academic lecture
    Klemetsdal, Øystein Strengehagen; Møyner, Olav; Raynaud, Xavier; Lie, Knut-Andreas. (2020) A Comparison of Consistent Discretizations for Elliptic Problems on Polyhedral Grids. Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples ; 2020-06-15 - 2020-06-19.
  • Academic lecture
    Lie, Knut-Andreas. (2020) Building an Open-Source Community Code: the MATLAB Reservoir Simulation Toolbox (MRST). GeoScience & GeoEnergy Webinars . TU Delft / Heriot Watt; 2020-08-27 - 2020-08-27.
  • Lecture
    Lie, Knut-Andreas. (2020) Flow Diagnostics - Understanding Interwell Communication and Dynamic Heterogeneity. Petroleum Graduate Seminar . University of Houston; 2020-10-02 - 2020-10-02.
  • Lecture
    Lie, Knut-Andreas. (2020) Reservoir Modelling Using MATLAB - The MATLAB Reservoir Simulation Toolbox (MRST). MATLAB Energy Conference . MathWorks; online. 2020-11-17 - 2020-11-18.
  • Academic lecture
    Nilsen, Halvor Møll; Arthur, Moncorgé; Bao, Kai; Møyner, Olav; Lie, Knut-Andreas; Brodtkorb, Andre. (2020) Comparison between algebraic multigrid and multilevel multiscale methods for reservoir simulation. ECMOR XVII . EAGE; Online. 2020-09-14 - 2020-09-17.
  • Academic lecture
    Sun, Xin; Raynaud, Xavier; Bao, Kai; Lie, Knut-Andreas. (2020) Surfactant and Polymer flooding simulation in MRST. OPM summit 2020 ; 2020-02-04 - 2020-02-05.
  • Poster
    Watson, Francesca; Krogstad, Stein; Lie, Knut-Andreas. (2020) Flow Diagnostics For Model Ensembles. ECMOR XVII 17th European Conference on the Mathematics of Oil Recovery . EAGE; Online. 2020-09-14 - 2020-09-17.

2019

  • Academic lecture
    Bao, Kai; Raynaud, Xavier; Nilsen, Halvor Møll; Lie, Knut-Andreas. (2019) Polymer Injectivity Implementation in OPM. OPM summit 2019 ; Utrecht. 2019-01-24 - 2019-01-25.
  • Academic lecture
    Klemetsdal, Øystein; Lie, Knut-Andreas; Møyner, Olav; Mykkeltvedt, Trine Solberg. (2019) Comparison of Implicit Discontinuous Galerkin and Weno Schemes on Stratigraphic and Unstructured Grids. SIAM Conference on Mathematical & Computational Issues in the Geosciences . Society of Industrial and Applied Mathematics; Houston. 2019-03-11 - 2019-03-14.
  • Academic lecture
    Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2019) Implicit high-resolution compositional simulation with optimal ordering of unknowns and adaptive spatial refinement. SPE Reservoir Simulation Conference . Society of Petroleum Engineers; Galveston, Texas. 2019-04-10 - 2019-04-11.
  • Lecture
    Lie, Knut-Andreas. (2019) Modelling CO2 storage in large-scale aquifer systems. DARSim Seminar Series . TU Delft; Delft. 2019-12-10 - 2019-12-10.
  • Academic lecture
    Lie, Knut-Andreas; Linga, Gaute; Møyner, Olav; Nilsen, Halvor Møll; Moncorge, A. (2019) An implicit local time-stepping method based on cell reordering for multiphase flow in porous media. MATHIAS 2019 . Total R&D; Val d'Europe, Paris. 2019-10-15 - 2019-10-17.
  • Academic lecture
    Lie, Knut-Andreas; Møyner, Olav; Klemetsdal, Øystein. (2019) Adaptive multiscale methods for multiphase simulation of complex reservoir models. SIAM Conference on Mathematical & Computational Issues in the Geosciences . Society of Industrial and Applied Mathematics; Houston. 2019-03-11 - 2019-03-14.

2018

  • Poster
    Collignon, Marine; Alcanié, Marion; Klemetsdal, Øystein; Møyner, Olav; Nilsen, Halvor Møll; Lie, Knut-Andreas; Rinaldi, Antonio; Lupi, Matteo. (2018) Numerical modelling of the Geneva Basin: From reservoir to geothermal simulations. SCCER - SoE Annual Conference . Swiss Competence Center for Energy Research; Horw. 2018-09-13 - 2018-09-14.
  • Academic lecture
    Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2018) Use of dynamically adapted basis functions to accelerate multiscale simulation of complex geomodels. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery . European Association of Geoscientists and Engineers; Barcelona. 2018-09-03 - 2018-09-06.
  • Poster
    Klemetsdal, Øystein; Rasmussen, Atgeirr Flø; Møyner, Olav; Lie, Knut-Andreas. (2018) Efficient Nonlinear Gauss-Seidel Type Solvers for Black-Oil Type Models. Interpore 10th Annual Meeting and Jubilee . International Society for Porous Media; New Orleans. 2018-05-14 - 2018-05-17.
  • Academic lecture
    Klemetsdal, Øystein; Rasmussen, Atgeirr Flø; Møyner, Olav; Lie, Knut-Andreas. (2018) Nonlinear Gauss-Seidel solvers with higher order for black-oil models. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery . EAGE; Barcelona. 2018-09-03 - 2018-09-06.
  • Academic lecture
    Lie, Knut-Andreas. (2018) Modelling CO2 storage in large-scale aquifer systems. 20th European Conference on Mathematics for Industry . ECMI; Budapest. 2018-06-18 - 2018-06-22.
  • Lecture
    Lie, Knut-Andreas. (2018) Research within Computational Geosciences at SINTEF Digital. Joining forces 2018 . FORCE / Oljedirektoratet; Stavanger. 2018-04-19 - 2018-04-20.
  • Academic lecture
    Lie, Knut-Andreas. (2018) Why developing high-resolution schemes for reservoir simulation is challenging. XVII International Conference on Hyperbolic Problems: Theory, Numerics, Applications . Penn State University; University Park, Pennsylvania. 2018-06-25 - 2018-06-29.
  • Lecture
    Lie, Knut-Andreas. (2018) Why we need shared data in research and technology development. SINTEF Petroleum Conference: Opportunities in a digital upstream industry . SINTEF Industry; Trondheim. 2018-03-20 - 2018-03-21.
  • Academic lecture
    Lie, Knut-Andreas; Klemetsdal, Øystein; Møyner, Olav. (2018) The MsRSB method with dynamically adapted basis functions. Workshop on adaptive model and solver computations for multiphase flow in porous media . University of Bergen; Ullensvang Hogell, Lofthus. 2018-05-02 - 2018-05-04.
  • Academic lecture
    Lie, Knut-Andreas; Mykkeltvedt, Trine Solberg; Møyner, Olav. (2018) Fully implicit WENO schemes on stratigraphic and fully unstructured grids. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery . EAGE; Barcelona. 2018-09-03 - 2018-09-06.

2017

  • Academic lecture
    Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas; Møyner, Olav. (2017) Parameter uncertainty in geological formations, and its impact on CO2 storage capacity estimation. 9th Trondheim Conference on CO2 capture, transport and storage . SINTEF; Trondheim. 2017-06-12 - 2017-06-14.
  • Academic lecture
    Bao, Kai; Lie, Knut-Andreas; Møyner, Olav. (2017) Polymer flooding simulation with MRST. The Third International Conference on Engineering and Computational Mathematics ; 2017-05-31 - 2017-06-02.
  • Academic lecture
    Klemetsdal, Øystein; Berge, Runar Lie; Lie, Knut-Andreas; Nilsen, Halvor Møll; Møyner, Olav. (2017) Unstructured gridding and consistent discretizations for reservoirs with faults and complex wells. SPE Reservoir Simulation Conference . Society of Petroleum Engineers; Montgomery, Texas. 2017-02-20 - 2017-02-22.
  • Academic lecture
    Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2017) A feature-enriched multiscale solver for complex geomodels. SIAM Conference on Mathematical and Computational Issues in the Geosciences . Society of Industrial and Applied Mathematics; Erlangen. 2017-09-11 - 2017-09-14.
  • Poster
    Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2017) Non-linear Newton solver for a polymer two-phase system using interface-localized trust regions. 19th European Symposium on Improved Oil Recovery/IOR Norway 2017 . European Association of Geoscientists and Engineers; Stavanger. 2017-04-24 - 2017-04-27.
  • Lecture
    Lie, Knut-Andreas. (2017) Flow-based upscaling of reservoir models. Multiscale methods summer school . Hasselt University; 2017-06-26 - 2017-06-29.
  • Academic lecture
    Lie, Knut-Andreas. (2017) Fully implicit higher-order schemes applied to polymer flooding. Computational Issues in Oil Field Applications -- Workshop I: Multiphysics, Multiscale, and Coupled Problems in Subsurface Physics . Institute for Pure & Applied Mathematics, UCLA; Los Angeles. 2017-04-03 - 2017-04-07.
  • Lecture
    Lie, Knut-Andreas. (2017) Introduction to flow simulation as used in reservoir engineering. Multiscale methods summer school . Hasselt University; 2017-06-26 - 2017-06-29.
  • Lecture
    Lie, Knut-Andreas. (2017) Introduction to reservoir simulation as practiced in industry. Computational Issues in Oil Field Applications: Tutorials . Institute for Pure and Applied Mathematics (IPAM), UCLA, USA; Los Angeles. 2017-03-20 - 2017-03-24.
  • Lecture
    Lie, Knut-Andreas. (2017) Introduction to the MATLAB Reservoir Simulation Toolbox (MRST). Multiscale methods summer school . Hasselt University; 2017-06-26 - 2017-06-29.
  • Lecture
    Lie, Knut-Andreas. (2017) Multiscale methods for reservoir simulation. Multiscale methods summer school . Hasselt University; 2017-06-26 - 2017-06-29.
  • Academic lecture
    Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald. (2017) A Feature-Enriched Multiscale Method for Simulating Complex Geomodels. SPE Reservoir Simulation Conference . Society of Petroleum Engineers; Montgomery, Texas. 2017-02-20 - 2017-02-22.
  • Academic lecture
    Lie, Knut-Andreas; Møyner, Olav; Nilsen, Halvor Møll. (2017) Multiscale and reduced-order methods for simulating long-term trapping of CO2 in large-scale aquifer systems. MATHIAS 2017 ; 2017-10-25 - 2017-10-27.
  • Academic lecture
    Mykkeltvedt, Trine Solberg; Lie, Knut-Andreas; Raynaud, Xavier. (2017) Simulating polymer flooding using implicit high-resolution methods. SIAM GS 2017 ; 2017-09-10 - 2017-09-14.
  • Academic lecture
    Nilsen, Halvor Møll; Krogstad, Stein; Andersen, Odd; Allen, Rebecca; Lie, Knut-Andreas. (2017) Use of flow models with sensitivities to study monitoring strategies. 9th Trondheim Conference on CO2 capture, transport and storage . SINTEF; Trondheim. 2017-06-12 - 2017-06-14.

2016

  • Academic lecture
    Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2016) Categorization of Norwegian Continental Shelf formations in terms of geological CO2 storage potentials. 13th International Conference on Greenhouse Gas Control Technologies . IEA Greenhouse Gas R&D Programme; Lausanne. 2016-11-14 - 2016-11-18.
  • Poster
    Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2016) On Obtaining Optimal Well Rates and Placement for CO2 Storage. ECMOR XV . EAGE; Amsterdam. 2016-08-29 - 2016-09-01.
  • Poster
    Allen, Rebecca; Nilsen, Halvor Møll; Lie, Knut-Andreas; Krogstad, Stein; Andersen, Odd. (2016) How the validity of gravity segregation and a sharp interface between CO2 and brine can be used to investigate variants of the Sleipner benchmark. Flow & Transport in Permeable Media . Gordon Research; Girona. 2016-07-31 - 2016-08-05.
  • Academic lecture
    Lie, Knut-Andreas. (2016) Challenges and developments in simulation of hydrocarbon recovery and CO2 storage. Non-linear PDEs, mathematical physics, and stochastic analysis - A conference in honour of Helge Holden . NTNU; Trondheim. 2016-07-04 - 2016-07-07.
  • Interview
    Lie, Knut-Andreas. (2016) Matlab reservoir toolbox user guide. Oil Information Technology Journal [Fagblad]. 2016-03-23.
  • Lecture
    Lie, Knut-Andreas. (2016) So you can prove theorems - but can you code?. Math meets industry . NTNU; Trondheim. 2016-09-22 - 2016-09-23.
  • Academic lecture
    Lie, Knut-Andreas; Møyner, Olav. (2016) Multiscale methods for a next-generation reservoir simulator. PMPM and UK InterPore Joint Annual Meeting 2016 . Heriot Watt University; Edinburgh. 2016-01-13 - 2016-01-15.
  • Academic lecture
    Lie, Knut-Andreas; Møyner, Olav. (2016) Multiscale reservoir simulation: From Poisson's equation to industry-standard models. 8th International Conference on Porous Media & Annual Meeting . InterPore; Cincinnati, Ohio. 2016-05-09 - 2016-05-12.
  • Academic lecture
    Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald; Kozlova, Antonina; Bratvedt, Kyrre; Watanabe, Shingo; Li, Zhuoyi. (2016) Successful Application of Multiscale Methods in a Real Reservoir Simulator Environment. ECMOR XV - 15th European Conference on the Mathematics of Oil Recovery . EAGE; Amsterdam. 2016-08-29 - 2016-09-01.
  • Academic lecture
    Mykkeltvedt, Trine Solberg; Lie, Knut-Andreas; Raynaud, Xavier. (2016) Fully Implicit Higher-order Schemes Applied to Polymer Flooding. ECMOR XV . EAGE; Amsterdam. 2016-08-28 - 2016-09-02.
  • Academic lecture
    Nilsen, Halvor Møll; Krogstad, Stein; Andersen, Odd; Allen, Rebecca; Lie, Knut-Andreas. (2016) Using sensitivities and vertical-equilibrium models for parameter estimation of CO2 injection models with application to Sleipner data. 13th International Conference on Greenhouse Gas Control Technologies . IEA Greenhouse Gas R&D Programme; Lausanne, Switzerland. 2016-11-14 - 2016-11-18.

2015

  • Poster
    Allen, Rebecca; Andersen, Odd; Lie, Knut-Andreas; Nilsen, Halvor Møll. (2015) Using MRST-co2lab to estimate the storage capacity of the Hammerfest basin aquifer and to simulate the Sleipner benchmark. Climit phd seminar . Climit; Trondheim. 2015-09-23 - 2015-09-24.
  • Academic lecture
    Andersen, Odd; Nilsen, Halvor Møll; Lie, Knut-Andreas. (2015) An Open-Source Toolchain for Simulation and Optimization of Aquifer-Wide CO2 Storage. Trondheim CCS Conference, TCCS-8 . BIGCCS; Trondheim. 2015-06-16 - 2015-06-18.
  • Poster
    Andersen, Odd; Nilsen, Halvor Møll; Lie, Knut-Andreas. (2015) Simulation and Optimization of Large-Scale Aquifer-wide Injection in the North Sea. CLIMIT Summit 2015 . CLIMIT; Oslo. 2015-02-24 - 2015-02-24.
  • Lecture
    Lie, Knut-Andreas. (2015) Multiscale reservoir simulation: from Poisson's equation to real-field models. MIT Distinguished Seminar Series in Computational Science and Engineering . Massatchusetts Institute of Technology (MIT); Cambridge, Massatchusetts. 2015-12-03 - 2015-12-03.
  • Lecture
    Lie, Knut-Andreas. (2015) Short course: Flow diagnostics. SIAM Conference on Mathematical and Computational Issues in the Geosciences . SIAM - Society of Industrial and Applied Mathematics; Stanford University. 2015-06-28 - 2015-06-28.
  • Academic lecture
    Lie, Knut-Andreas. (2015) The MRST Open-source Toolbox for Reservoir Simulation. SIAM Conference on Mathematical and Computational Issues in the Geosciences . SIAM - Society of Industrial and Applied Mathematics; Stanford University. 2015-06-29 - 2015-07-02.
  • Lecture
    Lie, Knut-Andreas; Raynaud, Xavier; Møyner, Olav. (2015) Short course: Rapid prototyping with MRST. SIAM Conference on Mathematical and Computational Issues in the Geosciences . SIAM - Society of Industrial and Applied Mathematics; Stanford University. 2015-06-28 - 2015-06-28.

2014

  • Poster
    Andersen, Odd; Nilsen, Halvor Møll; Lie, Knut Andreas. (2014) Reexamining CO2 Storage Capacity and Utilization of the Utsira Formation. CLIMIT PhD Seminar 2014 . Norges Forskningsråd; Oslo. 2014-10-21 - 2014-10-22.
  • Poster
    Andersen, Odd; Nilsen, Halvor Møll; Lie, Knut Andreas. (2014) Reexamining CO2 Storage Capacity and Utilization of the Utsira Formation. ECMOR XIV - 14th European conference on the mathematics of oil recovery . European Association of Geoscientists and Engineers; Catania. 2014-09-08 - 2014-09-11.
  • Interview
    Brodtkorb, André R.; Lie, Knut-Andreas; Lien, Tonje Gulbrandsen. (2014) 15 år med vinterskole i e-vitenskap. Forskningsrådets EVITA nettsider [Internett]. 2014-06-23.
  • Poster
    Hilden, Sindre Kristensen; Lie, Knut Andreas; Raynaud, Xavier. (2014) Steady State Upscaling of Polymer Flooding. ECMOR XIV - 14th European conference on the mathematics of oil recovery . European Association of Geoscientists and Engineers; Catania. 2014-09-08 - 2014-09-11.
  • Academic lecture
    Krogstad, Stein; Lie, Knut-Andreas; Møyner, Olav. (2014) Use Of Flow Diagnostics In Waterflood Optimisation. SPE Large Scale Computing and Big Data Challenges in Reservoir Simulation . Society of Petroleum Engineers; The Grand Tarabaya, Istanbul. 2014-09-15 - 2014-09-17.
  • Academic lecture
    Lie, Knut Andreas; Nilsen, Halvor Møll; Andersen, Odd; Møyner, Olav. (2014) A Simulation Workflow for Large-scale CO2 Storage in the Norwegian North Sea. ECMOR XIV - 14th European conference on the mathematics of oil recovery . European Association of Geoscientists and Engineers; Catania, Sicilia. 2014-09-08 - 2014-09-11.
  • Lecture
    Lie, Knut-Andreas. (2014) An introduction to the MATLAB Reservoir Simulation Toolbox (MRST). Porous Media-Processes and Mathematics . Heriot-Watt University; Edinburgh. 2014-01-08 - 2014-01-10.
  • Academic lecture
    Lie, Knut-Andreas. (2014) Fast simulation of large-scale CO2 storage: spill-point analysis and vertical-equilibrium models. Porous Media-Processes and Mathematics . Heriot-Watt University; Edinburgh. 2014-01-08 - 2014-01-10.
  • Academic lecture
    Lie, Knut-Andreas. (2014) The Matlab Reservoir Simulation Toolbox (MRST)​. NumPor Annual Meeting . King Abdullah University of Science and Technology; Jeddah. 2014-03-02 - 2024-03-03.
  • Academic lecture
    Rasmussen, Atgeirr Flø; Lie, Knut Andreas. (2014) Discretization of Flow Diagnostics on Stratigraphic and Unstructured Grids. ECMOR XIV - 14th European conference on the mathematics of oil recovery . European Association of Geoscientists and Engineers; Catania, Sicilia. 2014-09-08 - 2014-09-11.
  • Academic lecture
    Raynaud, Xavier; Lie, Knut Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø. (2014) Well-posedness of the Single-cell Transport Problem for Two-phase Flow with Polymer. ECMOR XIV - 14th European conference on the mathematics of oil recovery . European Association of Geoscientists and Engineers; Catania, Sicilia. 2014-09-08 - 2014-09-11.

2013

  • Academic lecture
    Lie, Knut-Andreas; Krogstad, Stein; Møyner, Olav; Rasmussen, Atgeirr Flø. (2013) Flow diagnostics on stratigraphic grids. SIAM Conference on Mathematical & Computational Issues in the Geosciences . SIAM; Padova. 2013-06-17 - 2013-06-19.
  • Academic lecture
    Lie, Knut-Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier. (2013) Fast Simulation of Polymer Injection in Heavy-Oil Reservoirs Based on Topological Sorting and Sequential Splitting. SPE reservoir simulation symposium 2013 . SPE; The Woodlands, Texas. 2013-02-18 - 2013-02-20.

2012

  • Academic lecture
    Krogstad, Stein; Lie, Knut-Andreas; Skaflestad, Bård. (2012) Mixed multiscale methods for compressible flow. 13th European Conference on the Mathematics of Oil Recovery . European Association of Geoscientists and Engineers; Biarritz. 2012-09-10 - 2012-09-13.
  • Academic lecture
    Lie, Knut-Andreas. (2012) Accurate and Robust Discretizations on Industry-Standard Grids. Mathematical Methods in Fluid Dynamics and Simulation of Giant Oil and Gas Reservoirs . Society of Petroleum Engineers; Swissotel, Istanbul. 2012-09-03 - 2012-09-05.
  • Academic lecture
    Lie, Knut-Andreas. (2012) Multiscale Methods for Porous Media Flow. Spring School on Mathematics of Multiscale Problems . Felix Klein Center for Mathematics; Kaiserslautern. 2012-04-26 - 2012-04-27.
  • Academic lecture
    Lie, Knut-Andreas. (2012) Multiscale Mixed Methods for Compressible Flow. Gordon Research Conference: Flow & Transport in Permeable Media . Flow & Transport in Permeable Media; Les Diablerets. 2012-06-24 - 2012-06-29.
  • Academic lecture
    Lie, Knut-Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier Marcel. (2012) An unconditionally stable splitting method using reordering for simulating polymer injection. 13th European Conference on the Mathematics of Oil Recovery . European Association of Geoscientists and Engineers; Biarritz. 2012-09-10 - 2012-09-13.
  • Academic lecture
    Natvig, Jostein Roald; Lie, Knut-Andreas; Krogstad, Stein; Yang, Yahan; Wu, Xiao-Hui. (2012) Grid adaption for upscaling and multiscale methods. 13th European Conference on the Mathematics of Oil Recovery . European Association of Geoscientists and Engineers; Biarritz. 2012-09-10 - 2012-09-13.
  • Academic lecture
    Pal, Mayur; Lamine, Sadok; Lie, Knut-Andreas; Krogstad, Stein. (2012) Multiscale methods for two and three-phase flow simulation in subsurface petroleum reservoirs. 13th European Conference on the Mathematics of Oil Recovery . European Association of Geoscientists and Engineers; Biarritz. 2012-09-10 - 2012-09-13.
  • Poster
    Syversveen, Anne Randi; Abrahamsen, Petter; Tveranger, Jan; Nilsen, Halvor Møll; Lie, Knut-Andreas. (2012) A Study on How Cap Rock Geometry Influences the CO2 Storage Capacity. Industrial Structural Geology . The Geological Society; Burlington House, Picadilly, London. 2012-11-28 - 2012-11-30.
  • Academic lecture
    Syversveen, Anne Randi; Nilsen, Halvor Møll; Lie, Knut-Andreas; Tveranger, Jan; Abrahamsen, Petter. (2012) A Study of How Top-Surface Morphology Influences the Storage Capacity of CO2 in Saline Aquifers. 9th International Geostatistics Congress . Norwegian Computing Center/University of Oslo; Oslo. 2012-06-11 - 2012-06-15.

2011

  • Academic lecture
    Lie, Knut-Andreas. (2011) Fast Simulation Tools for Flow in Heterogeneous Porous Media. SimTech 2011: International Conference on Simulation Technology 2011 ; University of Stuttgart, Stuttgart, Germany. 2011-06-14 - 2011-06-17.
  • Academic lecture
    Lie, Knut-Andreas. (2011) Geologisk lagring av CO2: Matematisk modellering og analyse av risiko. CLIMIT dagene . Gassnova; Soria Moria, Oslo, Norge. 2011-10-05 - 2011-10-06.
  • Academic lecture
    Lie, Knut-Andreas. (2011) Multiscale Methods for Porous Media Flow. EMS School and Workshop on Mathematics for Multiscale Phenomena . Mathematical Center for Science and Technology IMPAN; Conference Center of the Polish Academy of Sciences, Bedlewo. 2011-10-24 - 2011-10-28.
  • Academic lecture
    Lie, Knut-Andreas. (2011) Multiscale methods in porous media. EMS School and Workshop on Mathematics for Multiscale Phenomena . European Mathematical Society / Institute of Mathematics of the Polish Academy of Sciences; Bedlewo, Polen. 2011-10-24 - 2011-10-28.
  • Academic lecture
    Lie, Knut-Andreas; Krogstad, Stein. (2011) Multiscale Mixed FEM for Compressible Flow. SIAM Conference on Mathematical & Computational Issues in the Geosciences . SIAM; Long Beach, CA, USA. 2011-03-21 - 2011-03-24.
  • Academic lecture
    Lie, Knut-Andreas; Natvig, Jostein Roald. (2011) Upgridding by Amalgamation: Flow-Adapted Grids for Multiscale Simulations. SIAM Conference on Mathematical & Computational Issues in the Geosciences . SIAM; Long Beach, CA, USA. 2011-03-21 - 2011-03-24.
  • Academic lecture
    Nilsen, Halvor Møll; Natvig, Jostein Roald; Lie, Knut-Andreas. (2011) Using Helmholtz Decomposition to Optimize Numerical Methods for Transport in Porous Media. SIAM GeoSciences . SIAM; Long Beach, USA. 2011-03-20 - 2011-03-24.
  • Academic lecture
    Syversveen, Anne Randi; Nilsen, Halvor Møll; Lie, Knut-Andreas; Tveranger, Jan; Abrahamsen, Petter. (2011) A study on how top surface morphology influences the CO2 storage capacity. Impact of realistic geological models on simulation of CO2 storage . CIPR, UIB, Norsk Regnesenteral, SINTEF; Bergen. 2011-11-22 - 2011-11-24.

2010

  • Academic lecture
    Lie, Knut-Andreas. (2010) Anisotropic Relative Permeabilities. Workshop on multiscale methods ; Dr. Holms Hotel, Geilo. 2010-02-23 - 2010-02-25.
  • Academic lecture
    Lie, Knut-Andreas. (2010) Flow-based coarsening for multiscale simulation of transport in porous media. Averaging, Upscaling, and New Theories in Porous Media Flow and Transport . University of Bergen; Bergen. 2010-10-14 - 2010-10-15.
  • Academic lecture
    Lie, Knut-Andreas. (2010) Fundamentals of Multiscale Simulation. SPE Forum: Reservoir Simulation - Beyond Tomorrow . Society of Petroleum Engineers (SPE); Langkawi, Malaysia. 2010-05-10 - 2010-05-15.
  • Academic lecture
    Lie, Knut-Andreas. (2010) Multiscale Mixed Finite-Element Methods. SPE Forum: Reservoir Simulation - Beyond Tomorrow . Society of Petroleum Engineers (SPE); Langkawi, Malaysia. 2010-05-10 - 2010-05-15.
  • Academic lecture
    Lie, Knut-Andreas. (2010) Potential and Limitations for ""Domain Decomposition"" Multiscale Methods. Workshop on multiscale methods ; Dr. Holms Hotel, Geilo. 2010-02-23 - 2010-02-25.

2009

  • Academic lecture
    Brodtkorb, André R.; Hagen, Trond Runar; Lie, Knut-Andreas; Natvig, Jostein Roald. (2009) Efficient GPU-based algorithms for solving systems of conservation laws. First International Workshop on Computational Engineering - Special Topic Fluid-Structure Interaction ; Herrsching am Ammersee, Germany. 2009-10-12 - 2009-10-14.
  • Academic lecture
    Lie, Knut-Andreas. (2009) Multiscale Mixed Finite Elements for the Stokes-Brinkman Equations. Challenges of Porous Media and Inaugural Meeting of the International Society for Porous Media (Interpore) ; Kaiserslautern, Germany. 2009-03-11 - 2009-03-14.
  • Academic lecture
    Lie, Knut-Andreas. (2009) Reservoir simulation of million-cell models on desktop computers. 22th Kongsberg seminar: Physics of hydrocarbon-bearing systems . PGP, University of Oslo; Kongsberg. 2009-05-06 - 2009-05-09.
  • Academic lecture
    Lie, Knut-Andreas; Gulbransen, Astrid Fossum. (2009) A multiscale mixed finite-element method for the Stokes-Brinkman equations. SIAM Conference on Mathematical & Computational Issues in the Geosciences . SIAM; Leipzig, Germany. 2009-06-15 - 2009-06-19.
  • Academic lecture
    Lie, Knut-Andreas; Gulbransen, Astrid Fossum. (2009) Multiscale mixed finite elements for the Stokes-Brinkman equations. Enumath 2009 ; Uppsala, Sverige. 2009-06-29 - 2009-07-03.

2008

  • Academic lecture
    Gulbransen, Astrid Fossum; Hauge, Vera Louise; Lie, Knut-Andreas. (2008) A multiscale mixed finite-element method for vuggy and naturally fractured reservoirs. 21st Nordic Seminar in Computational Mechanics ; Trondheim, Norway. 2008-10-16 - 2008-10-17.
  • Academic lecture
    Lie, Knut-Andreas. (2008) Algorithms for Fast Reservoir Simulation. Roundtable on reservoir simulation on the geological grid . Petoro AS; Stavanger, Norway. 2008-09-24 - 2008-09-24.
  • Academic lecture
    Lie, Knut-Andreas. (2008) An overview of the multiscale mixed finite element method. Workshop on multiscale methods . Jan Nordbotten, Talal Rahman; Dr. Holms Hotel. 2008-12-04 - 2008-12-05.
  • Academic lecture
    Lie, Knut-Andreas. (2008) The eVITA winter school. Workshop on eScience in Higher Education ; Uppsala Universitet. 2008-10-07 - 2008-10-07.
  • Academic lecture
    Lie, Knut-Andreas; Gulbransen, Astrid Fossum; Hauge, Vera Louise. (2008) Multiscale mixed finite-element simulation of vuggy and naturally fractured reservoirs. PDE Seminar ; Center of Mathematics for Applications, University of Oslo. 2008-11-27 - 2008-11-27.
  • Academic lecture
    Nilsen, Halvor Møll; Lie, Knut-Andreas. (2008) On front-tracking for compressible flow. ECMOR XI . EAGE; Bergen, Norway. 2008-09-08 - 2008-09-11.

2007

  • Academic lecture
    Stenerud, Vegard Røine; Kippe, Vegard; Datta-Gupta, Akhil; Lie, Knut-Andreas. (2007) Adaptive Multiscale Streamline Simulation and Inversion for High-Resolution Geomodels. Besøk hos Exxon Mobil Upstream Research Company . Exxon Mobil Upstream Research Company; Houston, Texas. 2007-03-02 - 2007-03-02.
  • Academic lecture
    Stenerud, Vegard Røine; Kippe, Vegard; Datta-Gupta, Akhil; Lie, Knut-Andreas. (2007) Adaptive Multiscale Streamline Simulation and Inversion for High-Resolution Geomodels. Besøk hos Norsk Hydro . Norsk Hydro; Bergen. 2007-01-09 - 2007-01-09.
  • Poster
    Stenerud, Vegard Røine; Kippe, Vegard; Datta-Gupta, Akhil; Lie, Knut-Andreas. (2007) Adaptive Multiscale Streamline Simulation and Inversion for High-Resolution Geomodels (SPE106228). SPE Reservoir Simulation Symposium 07 . Society of Petroleum Engineers (SPE); The Woodlands, Houston, Texas. 2007-02-26 - 2007-02-28.
  • Academic lecture
    Aarnes, Jørg; Krogstad, Stein; Lie, Knut-Andreas. (2007) Multiscale mixed/mimetic methods -- Generic tools for reservoir modeling and simulation. SIAM Conference on Mathematical and Computational Issues in the Geosciences (GS07) . SIAM; Santa Fe, New Mexico USA. 2007-03-19 - 2007-03-22.
  • Academic lecture
    Aarnes, Jørg; Lie, Knut-Andreas; Krogstad, Stein; Kippe, Vegard. (2007) Multiscale methods for subsurface flow. Summer School on Multiscale Modeling and Simulation in Science . NGSSC; Bosön, Stockholm. 2007-06-04 - 2007-06-15.
  • Poster
    Kippe, Vegard; Hægland, Håkon; Lie, Knut-Andreas. (2007) A method to improve the mass balance in streamline methods. SPE Reservoir Simulation Symposium ; 2007-02-26 - 2007-02-28.
  • Academic lecture
    Lie, Knut-Andreas. (2007) Adaptive Multiscale Streamline Simulation and Inversion for High-Resolution Geomodels. SPE Reservoir Simulation Symposium . Society of Petroleum Engineers; The Woodlands, Houston, Texas, U.S.A. 2007-02-26 - 2007-02-28.
  • Academic lecture
    Lie, Knut-Andreas. (2007) Direct simulation of high-resolution geo-cellular models. Physics of Geological Processes . Univ. of Oslo; Oslo, Norway. 2007-06-16 - 2007-06-16.
  • Academic lecture
    Lie, Knut-Andreas. (2007) Reservoir simulation: from upscaling to multiscale methods. Strategic International Research Seimnar in Engineering Science and Technology: Multiscale Computational Science and Engineering . NTNU; Trondheim. 2007-09-19 - 2007-09-21.
  • Academic lecture
    Lie, Knut-Andreas. (2007) Use of Multiscale Methods to Bypass Upscaling - Or as a Means to Provide Fast and Approximate Flow Responses in Optimization Workflows. Workshop on Numerical Discretization and Upscaling Methods . Princeton University, Department of Civil and Environmental Engineering; Princeton, USA. 2007-11-01 - 2007-11-02.
  • Academic lecture
    Skaflestad, Bård; Natvig, Jostein Roald; Lie, Knut-Andreas. (2007) The mimetic method in reservoir simulation. 20th Nordic Seminar on Computational Mechanics . Chalmers University of Technology; Gøteborg, Sweden. 2007-11-23 - 2007-11-24.

2006

  • Academic lecture
    Stenerud, Vegard Røine; Kippe, Vegard; Datta-Gupta, Akhil; Lie, Knut-Andreas. (2006) Adaptive Multiscale Streamline Simulation and Inversion for High-Resolution Geomodels. Besøk hos Schlumberger (Stavanger) . Schlumberger; Stavanger. 2006-11-30 - 2006-11-30.
  • Academic lecture
    Stenerud, Vegard Røine; Kippe, Vegard; Datta-Gupta, Akhil; Lie, Knut-Andreas. (2006) Adaptive Multiscale Streamline Simulation and Inversion for High-Resolution Geomodels. Besøk hos Statoil (Stavanger) . Statoil; Stavanger. 2006-11-29 - 2006-11-29.
  • Academic lecture
    Stenerud, Vegard Røine; Kippe, Vegard; Datta-Gupta, Akhil; Lie, Knut-Andreas. (2006) Adaptive Multiscale Streamline Simulation and Inversion for High-Resolution Geomodels. DIFTA-seminar . Institutt for matematiske fag; NTNU. 2006-10-13 - 2006-10-13.
  • Academic lecture
    Aarnes, Jørg; Krogstad, Stein; Lie, Knut-Andreas. (2006) Multiscale methods for modeling flow in porous media: approaching industrial applications. Computation of Flow and Transport in Heterogeneous Media ; Univ. of Bath. 2006-06-20.
  • Academic lecture
    Aarnes, Jørg; Krogstad, Stein; Lie, Knut-Andreas; Natvig, Jostein Roald. (2006) Fast sequential implicit porous media flow simulations using multiscale finite elements and reordering of cells for solution of nonlinear transport equation. ECMOR X ; Amsterdam, The Netherlands. 2006-09-07.
  • Academic lecture
    Eikemo, Birgitte; Berre, Inga; Dahle, Helge Ketil; Lie, Knut-Andreas; Natvig, Jostein R.. (2006) A Discontinuous Galerkin Method for Computing Time-of-Flight in Discrete-Fracture Models. XVI International Conference on Computational Methods in Water Resources ; Copenhagen. 2006-06-18 - 2006-06-22.
  • Academic lecture
    Hagen, Trond Runar; Hjelmervik, Jon M.; Lie, Knut-Andreas; Natvig, Jostein Roald. (2006) Solving Hyperbolic Conservation Laws on GPUs. SC06 Intl. Conference for High Performance Computing, Networking, Storage & Analysis ; Tampa, Florida USA. 2006-11-13.
  • Academic lecture
    Hægland, Håkon; Dahle, Helge Ketil; Aavatsmark, Ivar; Eigestad, Geir Terje; Lie, Knut-Andreas. (2006) Adaptive streamline tracing for streamline simulation on irregular grids. Proceedings of the XVI International Conference on Computational Methods in Water Resources ; København. 2006-06-18 - 2006-06-22.
  • Academic lecture
    Hægland, Håkon; Lie, Knut-Andreas; Dahle, Helge Ketil; Eigestad, Geir Terje. (2006) Adaptive Streamline Tracing for Streamline Simulation on Irregular Grids. Foredrag på Vitenskapelig Konferanse . Computational Methods in Water Resources (DTU og UIB); København. 2006-06-19 - 2006-06-22.
  • Academic lecture
    Kippe, Vegard; Aarnes, Jørg; Lie, Knut-Andreas. (2006) Multiscale finite-element methods for elliptic problems in porous media flow. CMWR XVI Computational Methods in Water Resources ; Copenhagen, Denmark. 2006-06-22.
  • Academic lecture
    Lie, Knut-Andreas. (2006) Fast simulation of highly heterogeneous and fractured porous media. Workshop on CO2 handeling, BCCS ; Univ. of Bergen. 2006-05-04.
  • Academic lecture
    Lie, Knut-Andreas. (2006) Multiscale mixed finite-element methods for simulation of flow in highly heterogeneous porous media. Fifth China-Norway-Sweden Conference ; Lund. 2006-06-07.
  • Academic lecture
    Lie, Knut-Andreas. (2006) Multiscale mixed finite-element methods for simulation of flow in highly heterogeneous porous media. Fifth China-Norway-Sweden Workshop on Computational Mathematics . Department of Numerical Analysis, Lund University; Lund. 2006-06-05 - 2006-06-07.
  • Academic lecture
    Natvig, Jostein Roald; Lie, Knut-Andreas. (2006) Fast solvers for flow in porous media based on discontinuous Galerkin methods and optimal reordering. CMWR XVI Computational Methods in Water Resources ; Copenhagen, Denmark. 2006-06-22.
  • Academic lecture
    Natvig, Jostein. R.; Lie, Knut-Andreas; Eikemo, Birgitte. (2006) Fast Solvers for Flow in Porous Media Based on Discontinuous Galerkin Methods and Optimal Reordering. XVI International Conference on Computational Methods in Water Resources ; Copenhagen. 2006-06-18 - 2006-06-22.

2005

  • Academic lecture
    Lie, Knut-Andreas. (2005) Multiscale methods for flow in porous media. 18th Nordic Seminar on Computational Mechanics ; Stockholm-Helsinki. 2005-11-27 - 2005-11-30.
  • Academic lecture
    Lie, Knut-Andreas. (2005) Multiscale Reservoir Simulation. 2nd CENS-CMA Seminar . CMA, University of Oslo; Oslo. 2005-05-24 - 2005-05-25.
  • Academic lecture
    Lie, Knut-Andreas; Aarnes, Jørg; Kippe, Vegard; Krogstad, Stein. (2005) Comparison of three multiscale methods for two-phase flow in heterogeneous porous media. SIAM Conference on Mathematical and Computational Issues in the Geosciences . SIAM; Avignon, France. 2005-06-07 - 2005-06-10.
  • Academic lecture
    Lie, Knut-Andreas; Aarnes, Jørg; Kippe, Vegard; Krogstad, Stein. (2005) Multiscale methods for flow in porous media. 18th Nordic Seminar on Computational Mechanics . Nordic Association for Computational Mechanics; Espoo. 2005-09-27 - 2005-09-30.

2000

  • Academic lecture
    Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations. I: Convergence and entropy estimates. Conference on Infinite Dimensional (Stochastic) Analysis and Quantum Physics . [Mangler data]; Leipzig. 1999-01-20.
  • Academic lecture
    Karlsen, Kenneth Hvistendahl; Lie, K. A.; Nativig, J.; Risebro, Nils Henrik. (2000) A fast marching method for 3D reservoir simulation. 13th Nordic Seminar on Computational Mechanics (NSCM-13) ; Oslo. 2000-10-01.
  • Academic lecture
    Lie, Knut-Andreas. (2000) A dimensional splitting method for quasilinear hyperbolic equations with variable coefficients. BIT 40th Anniversary meeting ; Lund, Sweden. 2000-08-01.
  • Academic lecture
    Lie, Knut-Andreas; Noelle, Sebastian. (2000) Remarks on high-resolution nonoscillatory central schemes for conservation laws. 11th ECMI Conference ; Palermo, Italy. 2000-10-01.

1999

  • Academic lecture
    Karlsen, Kenneth Hvistendahl; Lie, K-A; Risebro, NH. (1999) A front tracking method for conversation laws with boundary conditions. Hyperbolic problems : theory, numerics, applications : seventh international conference . [Mangler data]; Zürich.
  • Academic lecture
    Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) Lie-Kato-Trotter product formulas for nonlinear partial differential equations. Kruzhkov memorial conference ; Besancon, Frankrike. 1999-06-01.
  • Academic lecture
    Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) Operator splitting for conservation laws. Godunov 70' conference ; Oxford, Storbrittannia. 1999-10-01.

1998

  • Academic lecture
    Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (1998) A front tracking method for conservation laws with boundary conditions. 7th international conference on Hyperbolic problems ; Zuerich. 1998-02-01.

1997

  • Academic lecture
    Karlsen, Kenneth Hvistendahl; Dahle, Helge Ketil; Frøyen, J.; Lie, K.-A.; Risebro, N.H.. (1997) Corrected operator splitting for nonlinear advection-diffusion. Fourth SIAM Conference on Geoscience . [Mangler data]; Albuquerque, NM, USA, 16.06-19.06.
  • Popular scientific lecture
    Lie, Knut-Andreas. (1997) A splitting method for mixed hyperbolic-parabolic convection-diffusion equations in multidimensions. Workshop on Hyperbolic Conservatory Laws . [Mangler data]; KTH, Stockholm.
NTNU
Studies
  • Master's programmes in English
  • For exchange students
  • PhD opportunities
  • Courses
  • Career development
  • Continuing education
  • Application process
Contact
  • Contact NTNU
  • Employees
  • For alumni
  • Press contacts
  • Researcher support
Discover NTNU
  • Experts
  • Vacancies
  • Pictures from NTNU
  • Innovation resources
  • NTNU in Gjøvik
  • NTNU in Trondheim
  • NTNU in Ålesund
  • Maps
About NTNU
  • NTNU's strategy
  • Research excellence
  • Strategic research areas
  • Organizational chart
  • Libraries
  • About the university
Services
  • For employees
  • For students
  • Blackboard
  • Intranet

Norwegian University of Science and Technology

Use of cookies
Accessibility statement (in Norwegian)
Privacy policy
Editoral responsibility
Sign In