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  1. Employees

Språkvelger

Norsk

Xavier Raynaud

Xavier Raynaud

Associate Professor
Department of Mathematical Sciences

xavier.raynaud@ntnu.no
+4773593374 Sentralbygg 2, Gløshaugen
Publications Media

Publications

  • Chronological
  • By category
  • See all publications in Cristin

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

Journal publications

  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • Holden, Helge; Raynaud, X. (2008) Periodic conservative solutions of the Camassa-Holm equation. Annales de l'Institut Fourier. volum 58.
    Academic article
  • 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
  • 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

Part of book/report

  • 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
  • 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
  • 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
  • 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
  • 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; 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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

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

Media

2021

  • Poster
    Ahmed, Elyes; Raynaud, Xavier. (2021) An MRST module for modelling phase behavior of complex fluids using ePC-SAFT EoS. MRST SYMPOSIUM 2021 . SINTEF DIGITAL; OSLO. 2021-09-14 - 2021-09-15.
  • Academic lecture
    Andersen, Odd; Raynaud, Xavier; Nilsen, Halvor Møll. (2021) Virtual Element Methods for Geomechanics in Complex Reservoirs. SIAM Geosciences 2021 . SIAM; Online. 2021-06-21 - 2021-06-24.
  • Academic lecture
    Raynaud, Xavier. (2021) Multi-Point Stress Approximation Module in MRST. MRST symposium . SINTEF Digital; online. 2021-09-14 - 2021-09-15.

2020

  • 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.

2019

  • Academic lecture
    Raynaud, Xavier. (2019) Coupled geomechanical simulations in MRST. Modelling, Simulation and Risk Assessment for Fractured Geological Media Workshop . University of Nottngham; Nottingham. 2019-03-27 - 2019-03-29.
  • Lecture
    Raynaud, Xavier. (2019) Introduction to MATLAB Reservoir Simulation Toolbox (MRST). Modelling, Simulation and Risk Assessment for Fractured Geological Media Workshop . University of Nottngham; Nottingham. 2019-03-27 - 2019-03-29.
  • Lecture
    Raynaud, Xavier; McNeece, Colin. (2019) Newton strategies for simulations of implicit coupled transport and chemistry. Advances in simulation of reactive flow and transport in porous media ; Pau. 2019-12-02 - 2019-12-02.

2018

  • Lecture
    Andersen, Odd; Møyner, Olav; Raynaud, Xavier. (2018) The MATLAB Reservoir Simulation Toolbox: General introduction and application to geological CO2 storage modeling. Interpore2018 . Interpore; New Orleans. 2018-05-14 - 2018-05-18.
  • Academic lecture
    Raynaud, Xavier. (2018) Simulation of Injectivity Decline in Fractured Near-Well Regions. Interpore Conference ; 2018-05-14 - 2018-05-17.
  • Academic lecture
    Raynaud, Xavier; Nilsen, Halvor Møll; Hesse, Marc; McNeece, Colin. (2018) Robust chemical solver for fully-implicit simulations. European Conference on the Mathematics of Oil Recovery ; 2018-09-03 - 2018-09-06.

2017

  • Academic lecture
    Andersen, Odd; Nilsen, Halvor Møll; Raynaud, Xavier. (2017) Coupled Geomechanics and Flow Simulation on Corner-Point and Polyhedral Grids. SPE Reservoir Simulation Conference . Society of Petroleum Engineers; Montgomery, Texas, USA. 2017-02-20 - 2017-02-22.
  • 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.

2016

  • 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.

2015

  • 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.
  • Academic lecture
    Raynaud, Xavier. (2015) Simulation of the Emplacement Process for a Natural CO2 Reservoir. SIAM Conference on Mathematical and Computational Issues in the Geosciences . SIAM - Society for Industrial and Applied Mathematics; Stanford, California. 2015-06-29 - 2015-07-02.

2014

  • 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
    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; 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
    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.

2011

  • Academic lecture
    Holden, Helge; Raynaud, Xavier. (2011) On the nonlinear variational wave equation. konferanse . Erwin Schrodinger Institute; Wien. 2011-07-06 - 2011-07-06.
  • Academic lecture
    Holden, Helge; Raynaud, Xavier. (2011) On the nonlinear variational wave equation. konferanse . SISSA; Trieste. 2011-05-20 - 2011-05-20.
  • Academic lecture
    Holden, Helge; Raynaud, Xavier. (2011) On the nonlinear variational wave equation. gjesteforelesning . Erwin Schrodinger Institute; Wien. 2011-05-05 - 2011-05-05.
  • Academic lecture
    Holden, Helge; Raynaud, Xavier. (2011) On the nonlinear wave variational wave equation. gjesteforelesning . University of Oxford; Oxford. 2011-10-17 - 2011-10-17.
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