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

• 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. SPE Reservoir Simulation Conference, On-Demand, October 2021.
  Academic chapter/article/Conference paper
• Galtung, Sondre Tesdal; Raynaud, Xavier. (2021) A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa–Holm system. Nonlinearity. volum 34 (4).
  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

2020

• 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

2018

• Raynaud, Xavier; Grunert, Katrin. (2018) Symmetries and multipeakon solutions for the modified two-component Camassa-Holm system. Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume.
  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. volum 23 (2).
  Academic article

2017

• Andersen, Odd; Nilsen, Halvor Møll; Raynaud, Xavier. (2017) Coupled geomechanics and flow simulation on corner-point and polyhedral grids. SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA.
  Chapter
• Andersen, Odd; Nilsen, Halvor Møll; Raynaud, Xavier. (2017) Virtual element method for geomechanical simulations of reservoir models. Computational Geosciences.
  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; Larsen, Idar; Raynaud, Xavier. (2017) Combining the modified discrete element method with the virtual element method for fracturing of porous media. Computational Geosciences. volum 21 (5-6).
  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

2016

• 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. volum 114 (1).
  Academic article
• Krogstad, Stein; Raynaud, Xavier; Nilsen, Halvor Møll. (2016) Reservoir management optimization using well-specific upscaling and control switching. Computational Geosciences. volum 20 (3).
  Academic article
• 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
• Nilsen, Halvor Møll; Raynaud, Xavier; Larsen, Idar. (2016) Combining the Modified Discrete Element Method with the Virtual Element Method for Fracturing of Porous Media. 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
• 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
• Raynaud, Xavier; Nilsen, Halvor Møll; Andersen, Odd. (2016) Virtual Element Method for Geomechanical Simulations of Reservoir Models. 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

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
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions. Forum of Mathematics, Sigma.
  Academic article
• 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. volum 3.
  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
• 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. volum 25 (2).
  Academic article

2014

• 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. volum 9 (7).
  Academic article
• Cohen, David; Matsuo, Takayasu; Raynaud, Xavier. (2014) A multi-symplectic numerical integrator for the two-component Camassa-Holm equation. Journal of Nonlinear Mathematical Physics. volum 21 (3).
  Academic article
• 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. volum 17 (1).
  Academic article
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Lipschitz metric for the two-component Camassa-Holm system. Hyperbolic Problems: Theory, Numerics, Applications.
  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
• Krogstad, Stein; Nilsen, Halvor Møll; Raynaud, Xavier. (2014) Reservoir management optimization using calibrated transmissibility upscaling. 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. (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
• 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
• 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). volum 90 (5).
  Academic article

2013

• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) Periodic conservative solutions for the two-component Camassa-Holm system. Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday.
  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. volum 33 (7).
  Academic article
• 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

2012

• 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. volum 32 (12).
  Academic article
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) Global Solutions for the Two-Component Camassa-Holm System. Communications in Partial Differential Equations. volum 37 (12).
  Academic article
• Cohen, David; Raynaud, Xavier Marcel. (2012) Convergent numerical schemes for the compressible hyperelastic rod wave equation. Numerische Mathematik. volum 122 (1).
  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

2011

• Cohen, David; Raynaud, Xavier Marcel. (2011) Geometric finite difference schemes for the generalized hyperelastic-rod wave equation. Journal of Computational and Applied Mathematics. volum 235 (8).
  Academic article
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2011) Lipschitz metric for the periodic Camassa-Holm equation. Journal of Differential Equations. volum 250 (3).
  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. volum 201 (3).
  Academic article

2010

• Bressan, Alberto; Holden, Helge; Raynaud, Xavier. (2010) Lipschitz metric for the Hunter-Saxton equation. Journal des Mathématiques Pures et Appliquées. volum 94 (1).
  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. volum 24 (4).
  Academic article
• Ehrnstrom, Mats; Holden, Helge; Raynaud, Xavier; Ehrnström, Mats. (2009) Symmetric waves are traveling waves. International mathematics research notices.
  Academic article

2008

• Cohen, David; Owren, B; Raynaud, X. (2008) Symplectic integration of the Carnassa-Holm equation. Journal of Computational Physics. volum 227.
  Academic article
• Cohen, David; Owren, Brynjulf; Raynaud, Xavier. (2008) Multi-symplectic integration of the Camassa–Holm equation. Journal of Computational Physics. volum 227 (11).
  Academic article
• Holden, Helge; Raynaud, X. (2008) Global Dissipative Multipeakon Solutions of the Camassa-Holm Equation. Communications in Partial Differential Equations. volum 33 (11).
  Academic article
• Raynaud, Xavier; Holden, Helge. (2008) A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation. Hyperbolic Problems: Theory, Numerics, Applications.
  Academic chapter/article/Conference paper
• Holden, Helge; Raynaud, X. (2008) Periodic conservative solutions of the Camassa-Holm equation. Annales de l'Institut Fourier. volum 58.
  Academic article

2007

• Holden, Helge; Raynaud, Xavier. (2007) Global conservative multipeakon solutions of the Camassa-Holm equation. Journal of Hyperbolic Differential Equations. volum 4 (1).
  Academic article
• Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the Camassa-Holm equation - a Lagrangian point of view. Communications in Partial Differential Equations. volum 32.
  Academic article
• Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the generalized hyperelastic-rod wave equation. Journal of Differential Equations. volum 233.
  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. volum 41 (1).
  Academic article

2006

• Holden, Helge; Raynaud, Xavier. (2006) A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Discrete and Continuous Dynamical Systems. Series A. volum 14 (3).
  Academic article
• Holden, Helge; Raynaud, Xavier. (2006) Convergence of a finite difference scheme for the Camassa-Holm equation. SIAM Journal on Numerical Analysis. volum 44 (4).
  Academic article
• Kalisch, Henrik; Raynaud, Xavier. (2006) Convergence of a Spectral Projection of the Camassa-Holm Equation. Numerical Methods for Partial Differential Equations. volum 22.
  Academic article
• Kalisch, Henrik; Raynaud, Xavier. (2006) Convergence of a spectral projection of the Camassa-Holm equation. Numerical Methods for Partial Differential Equations. volum 22 (5).
  Academic article