2026

• Landa-Marbán, David; Lie, Knut-Andreas; Lye, Kjetil Olsen; Møyner, Olav; Rasmussen, Atgeirr Flø; Sandve, Tor Harald. (2026) Exploring Convergence and Its Limits in Case B of the 11th SPE Comparative Solution Project. SPE Journal
  Academic article

2025

• Møyner, Olav; Lie, Knut-Andreas. (2025) A Data-Driven Approach to Select Optimal Time Steps for Complex Reservoir Models.
  Academic chapter
• Rasmussen, Atgeirr Flø; Møyner, Olav; Skaflestad, Bård; Lie, Knut-Andreas; Torben, Jakob; Moncorgé, Arthur; Kippe, Vegard. (2025) A distributed field-scale parallel nonlinear domain-decomposition solver. Computational Geosciences
  Academic article
• Krogstad, Stein; Jakymec, Miguel A.; Kianinejad, Amir; Pertuso, Dryonis; Matringe, Sebastien; Brostrøm, Andreas; Torben, Jakob; Møyner, Olav; Lie, Knut-Andreas. (2025) Reduced Physics-Based Simulation for Unconventional Production Forecasting - A 1D Approach.
  Academic chapter
• Holme, Kristian; Lie, Knut-Andreas; Møyner, Olav; Johansson, August. (2025) Grid-Orientation Effects in the 11th SPE Comparative Solution Project Using Unstructured Grids and Consistent Discretizations. SPE Journal
  Academic article
• Lie, Knut-Andreas; Møyner, Olav; Klemetsdal, Øystein. (2025) Accelerating Nonlinear Convergence in Reservoir Simulation by Adaptive Relaxation and Nonlinear Domain-Decomposition Preconditioning. SPE Journal
  Academic article
• Nordbotten, Jan M.; Fernø, Martin; Flemisch, Bernd; Kovscek, Anthony R.; Lie, Knut-Andreas; Both, Jakub W.; Møyner, Olav; Sandve, Tor Harald; Ahusborde, Etienne; Bauer, Sebastian. (2025) Benchmarking CO₂ storage simulations: Results from the 11th Society of Petroleum Engineers Comparative Solution Project. International Journal of Greenhouse Gas Control
  Academic article
• Andersen, T. M.; Torben, Jakob; Lye, Kjetil Olsen; Rasmussen, Atgeirr Flø; Lie, Knut-Andreas. (2025) Graphics Processing Unit–Accelerated Incomplete LU Preconditioners for Reservoir Simulation. SPE Journal
  Academic article
• Li, Junjian; Zhao, Lin; Møyner, Olav; Lie, Knut-Andreas. (2025) A new near-wellbore modeling method for deviated wells in corner-point grid. Advances in Geo-Energy Research
  Academic article

2024

• Lie, Knut-Andreas; Møyner, Olav; Klemetsdal, Øystein; Skaflestad, Bård; Moncorgé, Arthur; Kippe, Vegard. (2024) Enhancing performance of complex reservoir models via convergence monitors.
  Academic chapter
• Rasmussen, Atgeirr Flø; Møyner, Olav; Skaflestad, Bård; Lie, Knut-Andreas; Torben, Jakob; Moncorgé, Arthur; Kippe, Vegard. (2024) Distributed Field-Scale Parallel Nonlinear Domain Decomposition Solver.
  Academic chapter
• Nordbotten, Jan Martin; Fernø, Martin; Flemisch, Bernd; Kovscek, Anthony R.; Lie, Knut-Andreas. (2024) The 11th Society of Petroleum Engineers Comparative Solution Project: Problem Definition. SPE Journal
  Academic article
• Xiong, Wei; Zhang, Lie-Hui; Zhao, Yu-Long; Wen, Shao-Mu; Bao, Kai; Møyner, Olav; Lie, Knut-Andreas. (2024) Compositional Simulation for Carbon Storage in Porous Media Using an Electrolyte Association Equation of State. SPE Journal
  Academic article
• Saló-Salgado, Lluís; Møyner, Olav; Lie, Knut-Andreas; Juanes, Ruben. (2024) Three-dimensional simulation of geologic carbon dioxide sequestration using MRST. Advances in Geo-Energy Research
  Academic article
• Aslam, Billal; Yan, Bicheng; Lie, Knut-Andreas; Krogstad, Stein; Møyner, Olav; He, Xupeng. (2024) A Novel Hybrid Physics/Data-Driven Model for Fractured Reservoir Simulation. SPE Journal
  Academic article

2023

• Aslam, Billal; Yan, Bicheng; Tariq, Zeeshan; Krogstad, Stein; Lie, Knut-Andreas. (2023) Rapid Simulation and Optimization of Geological CO2 Sequestration Using Coarse Grid Network Model.
  Academic chapter
• Lie, Knut-Andreas; Krogstad, Stein. (2023) Data-driven modelling with coarse-grid network models. Computational Geosciences
  Academic article
• Møyner, Olav; Rasmussen, Atgeirr Flø; Klemetsdal, Øystein; Nilsen, Halvor Møll; Moncorgé, Arthur; Lie, Knut-Andreas. (2023) Nonlinear domain-decomposition preconditioning for robust and efficient field-scale simulation of subsurface flow. Computational Geosciences
  Academic article
• Lie, Knut-Andreas; Møyner, Olav; Klemetsdal, Øystein. (2023) An Adaptive Newton–ASPEN Solver for Complex Reservoir Models.
  Academic chapter
• Krogstad, Stein; Klemetsdal, Øystein; Lie, Knut-Andreas. (2023) Efficient Adaptation and Calibration of Ad joint-Based Reduced-Order Coarse-Grid Network Models.
  Academic chapter
• Liu, Hui; Liao, Xinwei; Lie, Knut-Andreas; Klemetsdal, Øystein; Bao, Kai; Zhang, Xiaoliang; Johansson, August; Raynaud, Xavier Marcel. (2023) An Integrated Modeling Framework for Simulating Complex Transient Flow in Fractured Reservoirs with 3D High-Quality Grids.
  Academic chapter

2022

• 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
  Academic article
• Lie, Knut-Andreas; Krogstad, Stein. (2022) Data-Driven Modelling with Coarse-Grid Network Models.
  Academic chapter
• Møyner, Olav; Rasmussen, Atgeirr Flø; Klemetsdal, Øystein; Nilsen, Halvor Møll; Moncorgé, Arthur; Lie, Knut-Andreas. (2022) Nonlinear Domain Decomposition Preconditioning for Robust and Efficient Field-Scale Simulation of Subsurface Flow.
  Academic chapter
• 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
  Academic article
• Andersen, Odd; Lie, Knut-Andreas; Rao, Samvith. (2022) Getting Into Reservoir Modeling for Carbon Sequestration. The Way Ahead
  Popular science article
• 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)
  Anthology

2021

• Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas. (2021) Implicit Discontinuous Galerkin Methods for Transport Equations in Porous Media.
  Academic chapter
• Lie, Knut-Andreas; Møyner, Olav. (2021) Multiscale Pressure Solvers for Stratigraphic and Polytopal Grids.
  Academic chapter
• Lie, Knut-Andreas; Møyner, Olav. (2021) Advanced Modeling with the MATLAB Reservoir Simulation Toolbox. Cambridge University Press
  Anthology
• Sun, Xin; Lie, Knut-Andreas; Bao, Kai. (2021) Using State Functions and MRST’s AD-OO Framework to Implement Simulators for Chemical EOR.
  Academic chapter
• Berge, Runar Lie; Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas. (2021) Unstructured PEBI Grids Conforming to Lower-Dimensional Objects.
  Academic chapter
• 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
  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
• 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.
  Academic chapter
• 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
  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
  Academic article
• Watson, Francesca; Krogstad, Stein; Lie, Knut-Andreas. (2021) The use of flow diagnostics to rank model ensembles. Computational Geosciences
  Academic article
• Lie, Knut-Andreas; Møyner, Olav. (2021) Preface.
  Introduction in anthology

2020

• Borregales Reveron, Manuel Antonio; Møyner, Olav; Krogstad, Stein; Lie, Knut-Andreas. (2020) Data-Driven Models Based on Flow Diagnostics.
  Academic chapter
• Watson, Francesca; Krogstad, Stein; Lie, Knut-Andreas. (2020) Flow diagnostics for model ensembles.
  Academic chapter
• Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas. (2020) Dynamic Coarsening and Local Reordered Nonlinear Solvers for Simulating Transport in Porous Media. SPE Journal
  Academic article
• Lie, Knut-Andreas; Krogstad, Stein; Watson, Francesca. (2020) User Guide to Flow Diagnostics Postprocessing - Simulations in MRST and ECLIPSE Output Format. SINTEF Digital
  Research 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
  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.
  Academic chapter
• 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.
  Academic chapter
• Klemetsdal, Øystein Strengehagen; Møyner, Olav; Raynaud, Xavier; Lie, Knut-Andreas. (2020) A Comparison of Consistent Discretizations for Elliptic Problems on Polyhedral Grids.
  Academic chapter
• Rasmussen, Atgeirr Flø; Sandve, Tor Harald; Bao, Kai; Lauser, Andreas; Hove, Joakim; Skaflestad, Bård; Klöfkorn, Robert; Blatt, Markus; Rustad, Alf Birger; Sævareid, Ove. (2020) The Open Porous Media Flow Reservoir Simulator. Computers and Mathematics with Applications
  Academic article
• Holm, Håvard Heitlo; Lie, Knut-Andreas; Brodtkorb, André R.; Sætra, Martin Lilleeng. (2020) Efficient Forecasting of Drift Trajectories using Simplified Ocean Models and Nonlinear Data Assimilation on GPUs. Norges teknisk-naturvitenskapelige universitet
  Doctoral thesis
• 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. SINTEF Digital
  Research report

2019

• Guion, Alexandre Nicolas; Skaflestad, Bård; Lie, Knut-Andreas; Wu, Xiao-Hui. (2019) Validation of a non-uniform coarsening and upscaling framework.
  Academic chapter
• Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2019) Implicit high-resolution compositional simulation with optimal ordering of unknowns and adaptive spatial refinement.
  Academic chapter
• Marefat, Hassan Ali; Aghdam, Muhammad A Ashjari; Lie, Knut-Andreas. (2019) Preserving vorticity improves the accuracy of multiscale solvers. Journal of Petroleum Science and Engineering
  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) Robust nonlinear Newton solver with adaptive interface-localized trust regions. SPE Journal
  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
  Academic monograph
• 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
• Lie, Knut-Andreas; Mykkeltvedt, Trine Solberg; Møyner, Olav. (2019) A fully implicit WENO scheme on stratigraphic and unstructured polyhedral grids. Computational Geosciences
  Academic article
• Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas; Møyner, Olav; Raynaud, Xavier; Holden, Helge. (2019) Efficient Solvers for Field-Scale Simulation of Flow and Transport in Porous Media. Norges teknisk-naturvitenskapelige universitet
  Doctoral thesis
• Lie, Knut-Andreas. (2019) Executive summary. SPE Journal
  Editorial
• Lie, Knut-Andreas. (2019) Executive summary. SPE Journal
  Editorial

2018

• Lie, Knut-Andreas. (2018) On Holden's seven guidelines for scientific computing and development of open-source community software.
  Academic chapter
• Lie, Knut-Andreas; Mykkeltvedt, Trine Solberg; Møyner, Olav. (2018) Fully implicit WENO schemes on stratigraphic and fully unstructured grids.
  Academic chapter
• 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
  Academic article
• Lie, Knut-Andreas. (2018) Executive summary. SPE Journal
  Editorial
• Lie, Knut-Andreas. (2018) Executive summary. SPE Journal
  Editorial
• 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
  Academic article
• Toft, Raymond; Lie, Knut-Andreas; Møyner, Olav. (2018) Full Approximation Scheme for Reservoir Simulation. NIKT: Norsk IKT-konferanse for forskning og utdanning
  Academic article
• Klemetsdal, Øystein; Rasmussen, Atgeirr Flø; Møyner, Olav; Lie, Knut-Andreas. (2018) Nonlinear Gauss-Seidel solvers with higher order for black-oil models.
  Academic chapter
• Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2018) Use of dynamically adapted basis functions to accelerate multiscale simulation of complex geomodels.
  Academic chapter
• Berge, Runar Lie; Klemetsdal, Øystein; Lie, Knut-Andreas. (2018) Unstructured Voronoi grids conforming to lower-dimensional objects. Computational Geosciences
  Academic article
• Lie, Knut-Andreas. (2018) Executive summary. SPE Journal
  Editorial

2017

• Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2017) Non-linear Newton Solver for a Polymer Two-phase System Using Interface-localized Trust Regions.
  Academic chapter
• 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
  Academic article
• Bao, Kai; Lie, Knut-Andreas; Møyner, Olav; Liu, Ming. (2017) Fully implicit simulation of polymer flooding with MRST. Computational Geosciences
  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
  Academic article
• Lie, Knut-Andreas. (2017) Executive summary. SPE Journal
  Editorial
• Lie, Knut-Andreas. (2017) Executive summary. SPE Journal
  Editorial
• Lie, Knut-Andreas. (2017) Executive summary. SPE Journal
  Editorial
• 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
  Academic article
• Mykkeltvedt, Trine Solberg; Raynaud, Xavier; Lie, Knut-Andreas. (2017) Fully implicit higher-order schemes applied to polymer flooding. Computational Geosciences
  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
  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
  Academic article
• Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald. (2017) Use of multiple multiscale operators to accelerate simulation of complex geomodels. SPE Journal
  Academic article
• 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.
  Non-fiction chapter
• Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald. (2017) A Feature-Enriched Multiscale Method for Simulating Complex Geomodels.
  Non-fiction chapter
• 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.
  Academic chapter
• Vink, Jeroen; Klie, Hektor; Austin, Andy; Beckner, Brett; Bratvedt, Kyrre; Cao, Hui; Cominelli, Alberto; Ding, Didier-Yu; Fung, Larry; Geiger, Sebastian. (2017) SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA. Society of Petroleum Engineers
  Anthology
• Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2017) On obtaining optimal well rates and placement for CO2 storage. Computational Geosciences
  Academic article

2016

• 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
  Academic article
• Møyner, Olav; Lie, Knut-Andreas. (2016) A multiscale restriction-smoothed basis method for compressible black-oil models. SPE Journal
  Academic article
• Lie, Knut-Andreas. (2016) Executive summary. SPE Journal
  Editorial
• Krogstad, Stein; Lie, Knut-Andreas; Nilsen, Halvor Møll; Berg, Carl Fredrik; Kippe, Vegard. (2016) Flow diagnostics for optimal polymer injection strategies.
  Academic chapter
• Hilden, Sindre Tonning; Møyner, Olav; Lie, Knut-Andreas; Bao, Kai. (2016) Multiscale simulation of polymer flooding with shear effects. Transport in Porous Media
  Academic article
• Bao, Kai; Lie, Knut-Andreas; Møyner, Olav; Liu, Ming. (2016) Fully Implicit Simulation of Polymer Flooding with MRST.
  Academic chapter
• Lie, Knut-Andreas; Mykkeltvedt, Trine Solberg; Raynaud, Xavier. (2016) Fully Implicit Higher-order Schemes Applied to Polymer Flooding.
  Academic chapter
• Lie, Knut-Andreas. (2016) Executive summary. SPE Journal
  Editorial
• 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.
  Academic chapter
• Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2016) On Obtaining Optimal Well Rates and Placement for CO2 Storage.
  Academic chapter
• 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
  Academic article
• Lie, Knut-Andreas. (2016) Executive summary. SPE Journal
  Editorial
• Møyner, Olav; Holden, Helge; Lie, Knut-Andreas; Natvig, Jostein Roald. (2016) Next Generation Multiscale Methods for Reservoir Simulation. Norges teknisk-naturvitenskapelige universitet
  Doctoral thesis
• 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
  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
  Academic article

2015

• Dragland, Åse Kirsti; Brodtkorb, André R.; Rasmussen, Atgeirr Flø; Lie, Knut-Andreas. (2015) Nytt språk gir kjappe simuleringer. Gemini
  Popular science 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. Computers & Geosciences
  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.
  Academic chapter
• Lie, Knut-Andreas; Møyner, Olav; Krogstad, Stein. (2015) Application of Flow Diagnostics and Multiscale Methods for Reservoir Management.
  Academic chapter
• Møyner, Olav; Lie, Knut-Andreas. (2015) A multiscale method based on restriction-smoothed basis functions suitable for general grids in high contrast media.
  Academic chapter
• 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
  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
  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
  Academic article
• Lie, Knut-Andreas; Mallison, Bradley T.. (2015) Mathematical models for oil reservoir simulation.
  Encyclopedia chapter
• Lie, Knut-Andreas. (2015) Hyperbolic Conservation Laws: Computation.
  Encyclopedia chapter
• Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd. (2015) Fully-implicit simulation of vertical-equilibrium models with hysteresis and capillary fringe. Computational Geosciences
  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
  Academic 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
  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)
  Conference abstract
• 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
  Academic article

2014

• Møyner, Olav; Lie, Knut Andreas. (2014) A multiscale two-point flux-approximation method. Journal of Computational Physics
  Academic article
• Møyner, Olav; Krogstad, Stein; Lie, Knut-Andreas. (2014) The application of flow diagnostics for reservoir management. SPE Journal
  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
  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
  Academic article
• Mykkeltvedt, Trine; Aavatsmark, Ivar; Lie, Knut-Andreas. (2014) Numerical Aspects of Polymer Flood Modeling.
  Academic chapter
• Andersen, Odd; Nilsen, Halvor Møll; Lie, Knut-Andreas. (2014) Reexamining CO2 Storage Capacity and Utilization of the Utsira Formation.
  Academic chapter
• Møyner, Olav; Lie, Knut Andreas. (2014) The Multiscale Finite-Volume Method on Stratigraphic Grids. SPE Journal
  Academic article
• Hilden, Sindre Kristensen; Lie, Knut-Andreas; Raynaud, Xavier. (2014) Steady State Upscaling of Polymer Flooding.
  Academic chapter
• 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.
  Academic chapter
• Lie, Knut-Andreas; Nilsen, Halvor Møll; Andersen, Odd; Møyner, Olav. (2014) A Simulation Workflow for Large-scale CO2 Storage in the Norwegian North Sea.
  Academic chapter
• Rasmussen, Atgeirr Flø; Lie, Knut-Andreas. (2014) Discretization of Flow Diagnostics on Stratigraphic and Unstructured Grids.
  Academic chapter

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.
  Academic chapter
• Møyner, Olav; Lie, Knut Andreas. (2013) The multiscale finite volume method on unstructured grids.
  Academic chapter
• Pal, Mayur; Lamine, Sadok; Lie, Knut Andreas; Krogstad, Stein. (2013) Multiscale method for simulating two and three-phase flow in porous media.
  Academic chapter

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
  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
  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
  Academic article
• Nilsen, Halvor Møll; Natvig, Jostein Roald; Lie, Knut-Andreas. (2012) Accurate Modeling of Faults by Multipoint, Mimetic, and Mixed Methods. SPE Journal
  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
  Academic article
• 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.
  Academic chapter
• Hauge, Vera Louise; Lie, Knut-Andreas; Natvig, Jostein Roald. (2012) Flow-based coarsening for multiscale simulation of transport in porous media. Computational Geosciences
  Academic article
• Nilsen, Halvor Møll; Lie, Knut Andreas; Natvig, Jostein Roald. (2012) Accurate modelling of faults by multipoint, mimetic, and mixed methods. SPE Journal
  Academic article

2011

• 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
  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
  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
  Academic article
• Alpak, Faruk Omer; Pal, Mayur; Lie, Knut-Andreas. (2011) A Multiscale Method for Modeling Flow in Stratigraphically Complex Reservoirs.
  Academic chapter

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.
  Academic chapter
• Gulbransen, Astrid Fossum; Hauge, Vera Louise; Lie, Knut-Andreas. (2010) A multiscale mixed finite-element method for vuggy and naturally-fractured reservoirs. SPE Journal
  Academic article
• Lie, Knut-Andreas. (2010) Multiscale methods for subsurface flow.
  Popular science chapter
• 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
  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 (EMS) Press
  Academic monograph
• 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. NTNU og SINTEF
  Research report

2009

• 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
  Anthology
• 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
  Academic article
• Aarnes, JE; Lie, Knut-Andreas; Kippe, V; Krogstad, Stein. (2009) Multiscale methods for subsurface flow.
  Academic chapter
• Stenerud, Vegard Røine; Lie, KA; Kippe, V. (2009) Generalized travel-time inversion on unstructured grids. Journal of Petroleum Science and Engineering
  Academic article
• Gulbransen, Astrid Fossum; Hauge, Vera Louise; Lie, Knut-Andreas. (2009) A Multiscale Mixed Finite-Element Method for Vuggy and Naturally-Fractured Reservoirs.
  Academic chapter
• Nilsen, Halvor Møll; Lie, Knut-Andreas. (2009) Front-tracking methods for use in streamline simulation of compressible flow.
  Academic chapter
• Tai, Xue-Cheng; Mørken, Knut Martin; Lysaker, Marius; Lie, Knut-Andreas. (2009) Scale Space and Variational Methods in Computer Vision. Springer
  Anthology

2008

• Stenerud, Vegard Røine; Kippe, Vegard; Lie, Knut-Andreas; Datta-Gupta, Akhil. (2008) Adaptive multiscale streamline simulation and inversion for high-resolution geomodels. SPE Journal
  Academic article
• Aarnes, Jørg Espen; Lie, Knut-Andreas; Kippe, Vegard; Krogstad, Stein. (2008) Multiscale methods for subsurface flow.
  Academic chapter
• Gulbransen, Astrid Fossum; Hauge, Vera Louise; Lie, Knut-Andreas. (2008) A multiscale mixed finite-element method for vuggy and naturally-fractured reservoirs.
  Academic chapter
• Nilsen, Halvor Møll; Lie, Knut-Andreas. (2008) On Front Tracking for Compressible Flow.
  Academic chapter
• Natvig, Jostein Roald; Lie, Knut-Andreas. (2008) On Efficient Implicit Upwind Schemes.
  Academic chapter
• Kippe, Vegard; Aarnes, Jørg E.; Lie, Knut-Andreas. (2008) A comparison of multiscale methods for elliptic problems in porous media flow. Computational Geosciences
  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
  Academic article
• Aarnes, Jørg E.; Krogstad, Stein; Lie, Knut-Andreas. (2008) Multiscale mixed/mimetic methods on corner-point grids. Computational Geosciences
  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
  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
  Academic article

2007

• 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
  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
  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
  Academic article
• 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.
  Encyclopedia chapter
• Hasle, Geir; Lie, Knut-Andreas; Quak, Ewald Gunther. (2007) Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF. Springer Publishing Company
  Anthology
• Stenerud, Vegard Røine; Lie, Knut-Andreas. (2007) Streamline-Based History Matching: A Review. SINTEF Digital
  Research report
• 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
  Academic article
• Tai, Xue-Cheng; Lie, Knut-Andreas; Chan, Tony F.; Osher, Stanley. (2007) Image Processing based on Partial differential equations. Springer
  Anthology
• 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.
  Academic chapter
• Aarnes, Jørg E.; Kippe, Vegard; Lie, Knut-Andreas; Rustad, Alf Birger. (2007) Modelling of Multiscale Structures in Flow Simulations for Petroleum Reservoirs.
  Academic chapter
• Aarnes, Jørg E.; Gimse, Tore; Lie, Knut-Andreas. (2007) An Introduction to the Numerics of Flow in Porous Media using Matlab.
  Academic chapter
• Hasle, Geir; Lie, Knut-Andreas; Quak, Ewald Gunther. (2007) Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF. Springer
  Anthology

2006

• Hagen, Trond Runar; Lie, Knut-Andreas; Natvig, Jostein Roald. (2006) Solving the Euler equations on graphics processing units. Lecture Notes in Computer Science (LNCS)
  Academic article
• Hagen, Trond Runar; Lie, Knut-Andreas; Natvig, Jostein Roald. (2006) Solving the Euler Equations on Graphics Processing Units.
  Academic chapter
• 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.
  Academic chapter
• Aarnes, Jørg; Kippe, V; Lie, Knut-Andreas. (2006) Multiscale methods and streamline simulation for rapid reservoir performance prediction.
  Academic chapter
• Aarnes, Jørg; Krogstad, Stein; Lie, Knut-Andreas; Laptev, V. (2006) Multiscale Mixed Methods on Corner-Point grids: Mimetic versus Mixed Subgrid Solvers. SINTEF Digital
  Research report
• Tai, Xue-Cheng; Lie, Knut-Andreas; Chan, Tony; Osher, Stanley. (2006) Image Processing based on Partial differential equations. Springer
  Anthology
• 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
  Academic article

2005

• Berre, Inga; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein R.. (2005) Fast computation of arrival times in heterogeneous media. Computational Geosciences
  Academic article
• Lie, Knut-Andreas; Aarnes, Jørg Espen; Kippe, Vegard; Krogstad, Stein. (2005) Multiscale Methods for Flow in Porous Media. Rakenteiden Mekaniikka
  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
  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
  Academic article
• Berre, Inga; Dahle, Helge Ketil; Mannseth, Trond; Lie, Knut-Andreas. (2005) Fast Simulation of Transport and Adaptive Permeability Estimation in Porous Media. Universitetet i Bergen
  Doctoral thesis
• Lie, Knut-Andreas; Juanes, Ruben. (2005) A front-tracking method for the simulation of three-phase flow in porous media. Computational Geosciences
  Academic article

2004

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

2003

• Berre, Inga; Karlsen, Kenneth Aksel Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald. (2003) FAST COMPUTATION OF ARRIVAL TIMES IN HETEROGENEOUS MEDIA. Universitetet i Oslo
  Research report
• Berre, I.; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald. (2003) Fast computation of arrival times in heterogeneous. Universitetet i Oslo
  Research report
• 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
  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
  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
  Academic article

2001

• Haugse, Vidar; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein. (2001) Numerical solution of the polymer system by front tracking. Transport in Porous Media
  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
  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
  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

2000

• 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
  Academic article
• Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (2000) A fast marching method for reservoir simulation. Computational Geosciences
  Academic article
• Lie, Knut-Andreas. (2000) Front tracking for one-dimensional quasilinear hyperbolic equations with variable coefficients. Numerical Algorithms
  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
  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
  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
  Academic article

1999

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

1998

• 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
  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
  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
  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