2023

• Liu, Hui; Liao, Xinwei; Lie, Knut-Andreas; Klemetsdal, Øystein; Bao, Kai; Zhang, Xiaoliang. (2023) An Integrated Modeling Framework for Simulating Complex Transient Flow in Fractured Reservoirs with 3D High-Quality Grids. Society of Petroleum Engineers Society of Petroleum Engineers
  Academic anthology/Conference proceedings

2022

• Ahmed, Elyes; Klemetsdal, Øystein; Raynaud, Xavier; Møyner, Olav; Nilsen, Halvor Møll. (2022) Adaptive Timestepping, Linearization, and A Posteriori Error Control for Multiphase Flow of Immiscible Fluids in Porous Media with Wells. SPE Journal
  Academic article

2021

• Raynaud, Xavier; Pizzolato, Alberto; Johansson, August; Caresani, Federica; Ferrari, Andrea; Møyner, Olav. (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
• Galtung, Sondre Tesdal; Raynaud, Xavier. (2021) A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa–Holm system. Nonlinearity
  Academic article
• Ahmed, Elyes; Klemetsdal, Øystein Strengehagen; Raynaud, Xavier; Møyner, Olav; Nilsen, Halvor Møll. (2021) Adaptive Time Stepping, Linearization and a Posteriori Error Control for Multiphase Flow with Wells. Society of Petroleum Engineers
  Academic chapter/article/Conference paper

2020

• Klemetsdal, Øystein Strengehagen; Møyner, Olav; Raynaud, Xavier; Lie, Knut-Andreas. (2020) A Comparison of Consistent Discretizations for Elliptic Problems on Polyhedral Grids. Springer
  Academic chapter/article/Conference paper
• Galtung, Sondre Tesdal; Holden, Helge; Grunert, Katrin; Raynaud, Xavier. (2020) Discretizations of Wave Equations and Applications of Variational Principles. NTNU
  Doctoral dissertation

2019

• 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 Norges teknisk-naturvitenskapelige universitet
  Doctoral dissertation

2018

• Raynaud, Xavier; Grunert, Katrin. (2018) Symmetries and multipeakon solutions for the modified two-component Camassa-Holm system. European Mathematical Society (EMS) Publishing House
  Academic chapter/article/Conference paper
• Raynaud, Xavier Marcel; Mac Neese, Colin; Hesse, Mark; Nilsen, Halvor Møll. (2018) Robust chemical solver for fully-implicit simulations. European Association of Geoscientists and Engineers (EAGE)
  Academic chapter/article/Conference paper
• 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

2017

• Andersen, Odd; Nilsen, Halvor Møll; Raynaud, Xavier. (2017) Virtual element method for geomechanical simulations of reservoir models. Computational Geosciences
  Academic article
• Nilsen, Halvor Møll; Larsen, Idar; Raynaud, Xavier. (2017) Combining the modified discrete element method with the virtual element method for fracturing of porous media. Computational Geosciences
  Academic article
• Nilsen, Halvor Møll; Nordbotten, Jan Martin; Raynaud, Xavier. (2017) Comparison between cell-centered and nodal-based discretization schemes for linear elasticity. Computational Geosciences
  Academic article
• Andersen, Odd; Nilsen, Halvor Møll; Raynaud, Xavier. (2017) Coupled geomechanics and flow simulation on corner-point and polyhedral grids. Society of Petroleum Engineers
  Chapter
• Mykkeltvedt, Trine Solberg; Raynaud, Xavier; Lie, Knut-Andreas. (2017) Fully implicit higher-order schemes applied to polymer flooding. 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
• Krogstad, Stein; Raynaud, Xavier; Nilsen, Halvor Møll. (2016) Reservoir management optimization using well-specific upscaling and control switching. Computational Geosciences
  Academic article
• Hilden, Sindre Tonning; Nilsen, Halvor Møll; Raynaud, Xavier. (2016) Study of the Well-Posedness of Models for the Inaccessible Pore Volume in Polymer Flooding. Transport in Porous Media
  Academic article
• Nilsen, Halvor Møll; Raynaud, Xavier; Larsen, Idar. (2016) Combining the Modified Discrete Element Method with the Virtual Element Method for Fracturing of Porous Media. European Association of Geoscientists and Engineers (EAGE)
  Academic chapter/article/Conference paper
• Raynaud, Xavier; Nilsen, Halvor Møll; Andersen, Odd. (2016) Virtual Element Method for Geomechanical Simulations of Reservoir Models. European Association of Geoscientists and Engineers (EAGE)
  Academic chapter/article/Conference paper
• Lie, Knut-Andreas; Mykkeltvedt, Trine Solberg; Raynaud, Xavier. (2016) Fully Implicit Higher-order Schemes Applied to Polymer Flooding. European Association of Geoscientists and Engineers (EAGE)
  Academic chapter/article/Conference paper

2015

• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Forum of Mathematics, Sigma
  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. Society of Petroleum Engineers
  Academic chapter/article/Conference paper
• Andersen, Odd; Bao, Kai; Hilden, Sindre Tonning; Krogstad, Stein; Lie, Knut-Andreas; Møyner, Olav. (2015) Matlab Reservoir Simulation Toolbox: MRST 2015a.
  Software
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions. Forum of Mathematics, Sigma
  Academic article
• Raynaud, Xavier; Nordaas, Magne André; Lehre, Knut Petter Dæhlin; Danbolt, Niels Christian. (2015) Well-posedness of a model equation for neurotransmitter diffusion with reactive boundaries. Mathematical Models and Methods in Applied Sciences
  Academic article

2014

• 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
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Lipschitz metric for the two-component Camassa-Holm system. American Institute of Mathematical Sciences (AIMS) Press
  Academic chapter/article/Conference paper
• Krogstad, Stein; Nilsen, Halvor Møll; Raynaud, Xavier. (2014) Reservoir management optimization using calibrated transmissibility upscaling. European Association of Geoscientists and Engineers (EAGE)
  Academic chapter/article/Conference paper
• Alfsnes, Kristian; Raynaud, Xavier; Tonjum, Tone; Ambur, Ole Herman. (2014) Mathematical and live meningococcal models for simple sequence repeat dynamics - Coherent predictions and observations. PLOS ONE
  Academic article
• Selstø, Sølve; Raynaud, Xavier; Simonsen, Aleksander; Førre, Morten. (2014) Distinction between sequential and direct ionization in two-photon double ionization of helium. Physical Review A. Atomic, Molecular, and Optical Physics (PRA)
  Academic article
• 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. European Association of Geoscientists and Engineers (EAGE)
  Academic chapter/article/Conference paper
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics. Nonlinear Analysis: Real world applications
  Academic article
• Hilden, Sindre Kristensen; Lie, Knut-Andreas; Raynaud, Xavier. (2014) Steady State Upscaling of Polymer Flooding. European Association of Geoscientists and Engineers (EAGE)
  Academic chapter/article/Conference paper
• Cohen, David; Matsuo, Takayasu; Raynaud, Xavier. (2014) A multi-symplectic numerical integrator for the two-component Camassa-Holm equation. Journal of Nonlinear Mathematical Physics
  Academic article

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. Curran Associates, Inc.
  Academic chapter/article/Conference paper
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) Periodic conservative solutions for the two-component Camassa-Holm system. American Mathematical Society (AMS)
  Academic chapter/article/Conference paper
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) LIPSCHITZ METRIC FOR THE CAMASSA-HOLM EQUATION ON THE LINE. Discrete and Continuous Dynamical Systems. Series A
  Academic article

2012

• Lie, Knut-Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier Marcel. (2012) An unconditionally stable splitting method using reordering for simulating polymer injection. European Association of Geoscientists and Engineers (EAGE)
  Other
• Cohen, David; Raynaud, Xavier Marcel. (2012) Convergent numerical schemes for the compressible hyperelastic rod wave equation. Numerische Mathematik
  Academic article
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) Global Solutions for the Two-Component Camassa-Holm System. Communications in Partial Differential Equations
  Academic article
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) GLOBAL CONSERVATIVE SOLUTIONS TO THE CAMASSA-HOLM EQUATION FOR INITIAL DATA WITH NONVANISHING ASYMPTOTICS. Discrete and Continuous Dynamical Systems. Series A
  Academic article

2011

• Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2011) Lipschitz metric for the periodic Camassa-Holm equation. Journal of Differential Equations
  Academic article
• Cohen, David; Raynaud, Xavier Marcel. (2011) Geometric finite difference schemes for the generalized hyperelastic-rod wave equation. Journal of Computational and Applied Mathematics
  Academic article
• Holden, Helge; Raynaud, Xavier Marcel. (2011) Global Semigroup of Conservative Solutions of the Nonlinear Variational Wave Equation. Archive for Rational Mechanics and Analysis
  Academic article

2010

• Bressan, Alberto; Holden, Helge; Raynaud, Xavier. (2010) Lipschitz metric for the Hunter-Saxton equation. Journal des Mathématiques Pures et Appliquées
  Academic article
• Raynaud, Xavier Marcel. (2010) The shortest path between two points, Geodesics and Mechanics. Interdisciplinary Communications
  Popular scientific article

2009

• Holden, Helge; Raynaud, Xavier. (2009) Dissipative solutions for the Camassa-Holm equation. Discrete and Continuous Dynamical Systems. Series A
  Academic article
• Ehrnstrom, Mats; Holden, Helge; Raynaud, Xavier; Ehrnström, Mats. (2009) Symmetric waves are traveling waves. International Mathematics Research Notices (IMRN)
  Academic article

2008

• Cohen, David; Owren, B; Raynaud, X. (2008) Symplectic integration of the Carnassa-Holm equation. Journal of Computational Physics
  Academic article
• Raynaud, Xavier; Holden, Helge. (2008) A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation. Springer
  Academic chapter/article/Conference paper
• Holden, Helge; Raynaud, X. (2008) Periodic conservative solutions of the Camassa-Holm equation. Annales de l'Institut Fourier
  Academic article
• Holden, Helge; Raynaud, X. (2008) Global Dissipative Multipeakon Solutions of the Camassa-Holm Equation. Communications in Partial Differential Equations
  Academic article
• Cohen, David; Owren, Brynjulf; Raynaud, Xavier. (2008) Multi-symplectic integration of the Camassa–Holm equation. Journal of Computational Physics
  Academic article

2007

• Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the Camassa-Holm equation - a Lagrangian point of view. Communications in Partial Differential Equations
  Academic article
• Kalisch, Henrik; Raynaud, Xavier. (2007) On the rate of convergence of a collocation projection of the KdV equation. Mathematical Modelling and Numerical Analysis
  Academic article
• Holden, Helge; Raynaud, Xavier. (2007) Global conservative multipeakon solutions of the Camassa-Holm equation. Journal of Hyperbolic Differential Equations
  Academic article
• Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the generalized hyperelastic-rod wave equation. Journal of Differential Equations
  Academic article

2006

• Holden, Helge; Raynaud, Xavier. (2006) Convergence of a finite difference scheme for the Camassa-Holm equation. SIAM Journal on Numerical Analysis
  Academic article
• Kalisch, Henrik; Raynaud, Xavier. (2006) Convergence of a Spectral Projection of the Camassa-Holm Equation. Numerical Methods for Partial Differential Equations
  Academic article
• Kalisch, Henrik; Raynaud, Xavier. (2006) Convergence of a spectral projection of the Camassa-Holm equation. Numerical Methods for Partial Differential Equations
  Academic article
• Holden, Helge; Raynaud, Xavier. (2006) A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Discrete and Continuous Dynamical Systems. Series A
  Academic article