Robert Eymard

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A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local dirichlet problems

Robert Eymard, Jürgen Fuhrmann, Klaus Gärtner, 2006, Numerische Mathematik.

The Gradient Discretisation Method

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2018 .

Gradient Scheme Approximations for Diffusion Problems

Raphaèle Herbin, Robert Eymard, 2011 .

Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces

Robert Eymard, Guillaume Enchéry, Anthony Michel, 2006, SIAM J. Numer. Anal..

A convergent finite element-finite volume scheme for the compressible Stokes problem. Part II: the isentropic case

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2009, Math. Comput..

Comparison of numerical methods for the assessment of production availability of a hybrid system

Sophie Mercier, Robert Eymard, 2008, Reliab. Eng. Syst. Saf..

Galerkin Approximation In Banach and Hilbert Spaces pdf

Robert Eymard, Isabelle Chalendar, Wolfgang Arendt, 2019, ArXiv.

L2-Stability Independent of Diffusion for a Finite Element-Finite Volume Discretization of a Linear Convection-Diffusion Equation

Paul Deuring, Robert Eymard, Marcus Mildner, 2015, SIAM J. Numer. Anal..

RTk mixed finite elements for some nonlinear problems

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2015, Math. Comput. Simul..

Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2009, J. Num. Math..

An Eclectic View on Numerical Methods for PDEs: Presentation of the Special Issue “Advanced Numerical Methods: Recent Developments, Analysis and Applications”

Robert Eymard, Jérôme Droniou, Paola F. Antonietti, 2018, Comput. Methods Appl. Math..

Convergence of a Numerical Scheme for Stratigraphic Modeling

Roland Masson, Thierry Gallouët, Robert Eymard, 2005, SIAM J. Numer. Anal..

Motivation and Basic Ideas

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2018 .

Convergence of the MAC Scheme for the Compressible Stokes Equations

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2010, SIAM J. Numer. Anal..

Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage

Robert Eymard, O. Angelini, C. Chavant, 2011, Math. Comput. Simul..

Unified Convergence Analysis of Numerical Schemes for a Miscible Displacement Problem

Robert Eymard, Jérôme Droniou, Kyle S. Talbot, 2017, Foundations of Computational Mathematics.

A combined finite volume–nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems

Martin Vohralík, Robert Eymard, Danielle Hilhorst, 2006, Numerische Mathematik.

A Finite Volume Scheme for Diffusion Problems on General Meshes Applying Monotony Constraints

Robert Eymard, O. Angelini, C. Chavant, 2010, SIAM J. Numer. Anal..

Convergence of finite volume schemes for semilinear convection diffusion equations

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 1999, Numerische Mathematik.

Finite volume method

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2010, Scholarpedia.

Family of convergent numerical schemes for the incompressible Navier-Stokes equations

Robert Eymard, Cindy Guichard, Pierre Feron, 2018, Math. Comput. Simul..

Approximation of the biharmonic problem using P1 finite elements

Raphaèle Herbin, Robert Eymard, M. Rhoudaf, 2011, J. Num. Math..

Finite volume schemes for the biharmonic problem on general meshes

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2012, Math. Comput..

High-order Mass-lumped Schemes for Nonlinear Degenerate Elliptic Equations

Robert Eymard, Jerome Droniou, 2020, SIAM J. Numer. Anal..

Gradient schemes: Generic tools for the numerical analysis of diffusion equations

Robert Eymard, Jerome Droniou, Raphaele Herbin, 2015 .

H-Convergence and Numerical Schemes for Elliptic Problems

Thierry Gallouët, Robert Eymard, R. Eymard, 2003, SIAM J. Numer. Anal..

Analytical and Numerical Study of a Model of Erosion and Sedimentation

Thierry Gallouët, Robert Eymard, R. Eymard, 2006, SIAM J. Numer. Anal..

High Performance Computing Linear Algorithms for Two-Phase Flow in Porous Media

Roland Masson, Robert Eymard, Cindy Guichard, 2014 .

Galerkin approximation of linear problems in Banach and Hilbert spaces

Robert Eymard, Isabelle Chalendar, Wolfgang Arendt, 2019 .

Analysis Tools for Gradient Discretisations

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2018 .

A mixed finite volume scheme for anisotropic diffusion problems on any grid

Robert Eymard, Jérôme Droniou, R. Eymard, 2006, Numerische Mathematik.

Modeling anaerobic bioreactor landfills in methanogenic phase: long term and short term behaviors.

Robert Eymard, Shabnam Gholamifard, Christian Duquennoi, 2008, Water research.

Towards a generalization of the MAC scheme on unstructured meshes

Raphaèle Herbin, Robert Eymard, Eric Chénier, 2009 .

A collocated finite volume scheme to solve free convection for general non-conforming grids

Raphaèle Herbin, Robert Eymard, Eric Chénier, 2009, J. Comput. Phys..

Convergence of a finite volume scheme for nonlinear degenerate parabolic equations

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2002, Numerische Mathematik.

CHARGES REGLEMENTAIRES ET APTITUDE AU SERVICE DES PONTS ROUTIERS EN BETON

Robert Eymard, D Bolusset, M Prat, 1996 .

Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations

Robert Eymard, Jérôme Droniou, R. Eymard, 2014, Numerische Mathematik.

Finite volume schemes and Lax-Wendroff consistency pdf

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2021, ArXiv.

Numerical approximation of a reaction-diffusion system with fast reversible reaction

Robert Eymard, Danielle Hilhorst, Hideki Murakawa, 2008 .

MAC Schemes on Triangular Meshes

Robert Eymard, Alexander Linke, Jürgen Fuhrmann, 2011 .

Gradient Schemes for incompressible steady Navier-Stokes problem

Robert Eymard, Cindy Guichard, Pierre Feron, 2015 .

Diffusion with dissolution and precipitation in a porous medium: Mathematical analysis and numerical approximation of a simplified model

Raphaèle Herbin, Robert Eymard, Philippe Montarnal, 2007 .

Hybrid Finite Volume Discretization of Linear Elasticity Models on General Meshes

Roland Masson, Robert Eymard, Simon Lemaire, 2011 .

Finite Volume Schemes for Multiphase Flow Simulation on Near Well Grids

Roland Masson, Robert Eymard, Cindy Guichard, 2010 .

A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions

Raphaèle Herbin, Robert Eymard, 2003 .

An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes

Raphaèle Herbin, Robert Eymard, Philippe Blanc, 2004 .

VERTEX CENTRED DISCRETIZATION OF TWO-PHASE DARCY FLOWS ON GENERAL MESHES

Roland Masson, Raphaèle Herbin, Robert Eymard, 2012 .

Constitutive modeling of unsaturated drying deformable materials

Robert Eymard, R. Eymard, O. Coussy, 1998 .

Multiphase Flow in Porous Media Using the VAG Scheme

Roland Masson, Raphaèle Herbin, Robert Eymard, 2011 .

Combined Nonconforming/Mixed-hybrid Finite Element-Finite Volume Scheme for Degenerate Parabolic Problems

Martin Vohralík, Robert Eymard, Danielle Hilhorst, 2004 .

A finite volume for anisotropic diffusion problems

Raphaèle Herbin, Robert Eymard, R. Eymard, 2004 .

A Preconditioned Conjugate Gradient Based Algorithm for Coupling Geomechanical-Reservoir Simulations

Roland Masson, Robert Eymard, M. Mainguy, 2002 .

An error estimate for a finite volume scheme for a nonlinear hyperbolic equation on a triangular mes

Raphaèle Herbin, Robert Eymard, Mustapha Ghilani, 1998 .

Small-stencil 3D schemes for diffusive flows in porous media

Raphaèle Herbin, Robert Eymard, Cindy Guichard, 2012 .

Vertex-centred discretization of multiphase compositional Darcy flows on general meshes

Roland Masson, Raphaèle Herbin, Robert Eymard, 2012, Computational Geosciences.

Numerical Results Using a Colocated Finite-Volume Scheme on Unstructured Grids for Incompressible Fluid Flows

Robert Eymard, Eric Chénier, O. Touazi, 2006 .

Gradient schemes for the Stefan problem

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2013 .

A Numerical Scheme to Solve Integro-Differential Equations in the Dynamic Reliability Field

Sophie Mercier, Robert Eymard, Christiane Cocozza-Thivent, 2004 .

Boiling in Porous Media: Model and Simulations

Robert Eymard, Clément Chavant, R. Eymard, 2005 .

Gradient schemes for two‐phase flow in heterogeneous porous media and Richards equation

Roland Masson, Raphaèle Herbin, Robert Eymard, 2014 .

An abstract analysis framework for nonconforming approximations of diffusion problems on general meshes

Roland Masson, Robert Eymard, Léo Agélas, 2010 .

EXISTENCE AND UNIQUENESS OF THE ENTROPY SOLUTION TO A NONLINEAR HYPERBOLIC EQUATION

Raphaèle Herbin, Robert Eymard, R. Eymard, 1995 .

Study of a finite volume scheme for the regularized mean curvature flow level set equation

Karol Mikula, Robert Eymard, K. Mikula, 2011 .

Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows

Bruno Piar, Raphaèle Herbin, Robert Eymard, 2009 .

Benchmark 3D: the VAG scheme

Raphaèle Herbin, Robert Eymard, Cindy Guichard, 2011 .

On MAC schemes on triangular delaunay meshes, their convergence and application to coupled flow problems

Robert Eymard, Alexander Linke, Jürgen Fuhrmann, 2014 .

A staggered finite volume scheme on general meshes for the generalized Stokes problem in two space dimensions AstaggeredschemefortheStokesequations

Raphaèle Herbin, Robert Eymard, Philippe Blanc, 2005 .

Instantaneous and noninstantaneous dissolution: approximation by the finite volume method

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 1999 .

Mathematical Modelling and Numerical Analysis Modélisation Mathématique et Analyse Numérique Will be set by the publisher ON A STABILIZED COLOCATED FINITE VOLUME SCHEME FOR THE

Raphaèle Herbin, Robert Eymard, Jean-Claude Latché, 2013 .

A vanishing diffusion process in unsaturated soils

Olivier Coussy, Robert Eymard, Patrick Dangla, 1998 .

The finite volume method for Richards equation

Robert Eymard, Danielle Hilhorst, D. Hilhorst, 1999 .

SMALL-STENCIL 3 D SCHEMES FOR DIFFUSIVE FLOWS IN POROUS MEDIA

Raphaèle Herbin, Robert Eymard, Cindy Guichard, 2011 .

Uniform-in-Time Convergence of Numerical Schemes for Richards’ and Stefan’s Models

Robert Eymard, Jérôme Droniou, Cindy Guichard, 2014 .

Simulation of natural convection with the collocated clustered finite volume scheme

Robert Eymard, Eric Chénier, Ouardia Touazi, 2008 .

Gradient Schemes for Stokes problem

Robert Eymard, Jérôme Droniou, Pierre Feron, 2016 .

H-convergence and numerical schemes for elliptic equations SIAM Journal on Numerical Analysis

Robert Eymard, R. Eymard, 2000 .

Vertex-centred Discretization of Multiphase Compositional Darcy Flows on General Meshes

Roland Masson, Pierre Samier, Raphaèle Herbin, 2012 .

A combined finite volume–finite element scheme for the discretization of strongly nonlinear convection–diffusion–reaction problems on nonmatching grids

Martin Vohralík, Robert Eymard, Danielle Hilhorst, 2009 .

TP or not TP, that is the question

Roland Masson, Thierry Gallouët, Raphaèle Herbin, 2014, Computational Geosciences.

Analysis tools for finite volume schemes

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2007 .

Convergence of a finite‐volume mixed finite‐element method for an elliptic–hyperbolic system

Robert Eymard, Jérôme Droniou, D. Hilhorst, 2003 .

A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2006 .

Multi‐lithology stratigraphic model under maximum erosion rate constraint

Roland Masson, Thierry Gallouët, Robert Eymard, 2004 .

Finite volume methods Hand-book of Numerical Analysis

Raphaèle Herbin, Robert Eymard, 2000 .

GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONS

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2013 .

The Asymmetric Gradient Discretisation Method

Robert Eymard, Jérôme Droniou, 2017 .

The nite volume method

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2000 .

A Finite Volume Scheme on General Meshes for the Steady Navier-Stokes Equations in Two Space Dimensions

Robert Eymard, R. Eymard, Raphaĺe Herbin, 2004 .

Approximation of the biharmonic problem using piecewise linear finite elements

Raphaèle Herbin, Robert Eymard, 2010 .

A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids

Raphaèle Herbin, Robert Eymard, 2007 .

An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier–Stokes equations

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2015 .

Convergence of a misanthrope process to the entropy solution of 1D problems

Robert Eymard, Antoine Tordeux, Michel Roussignol, 2012 .

Grid orientation effect in coupled finite volume schemes

Roland Masson, Robert Eymard, Cindy Guichard, 2013 .

Discontinuous Galerkin gradient discretisations for the approximation of second-order differential operators in divergence form

Robert Eymard, Cindy Guichard, R. Eymard, 2018 .

An implicit finite volume scheme for a scalar hyperbolic problem with measure data related to piecewise deterministic Markov processes

Sophie Mercier, Robert Eymard, Alain Prignet, 2008 .

MAC schemes on triangular Delaunay meshes

Robert Eymard, Alexander Linke, Juergen Fuhrmann, 2012 .

UNIFORM TEMPORAL STABILITY OF SOLUTIONS TO DOUBLY NONLINEAR DEGENERATE PARABOLIC EQUATIONS

Robert Eymard, Jérôme Droniou, Kyle S. Talbot, 2015 .

A finite volume scheme for anisotropic diffusion problems

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2004 .

Applications of approximate gradient schemes for nonlinear parabolic equations

Raphaèle Herbin, Karol Mikula, Robert Eymard, 2015 .

Finite volume methods for the valuation of american options

Robert Eymard, R. Eymard, Julien Berton, 2006 .

APPROXIMATION BY THE FINITE VOLUME METHOD OF AN ELLIPTIC-PARABOLIC EQUATION ARISING IN ENVIRONMENTAL STUDIES

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2001 .

Finite volumes and nonlinear diffusion equations

Thierry Gallouët, Robert Eymard, Danielle Hilhorst, 1998 .

Study of the mixed finite volume method for Stokes and Navier‐Stokes equations

Robert Eymard, Jérôme Droniou, R. Eymard, 2009 .

Mathematical study of a petroleum-engineering scheme

Raphaèle Herbin, Robert Eymard, R. Eymard, 2003 .

A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2007 .

Gradient Schemes for Image Processing

Raphaèle Herbin, Karol Mikula, Robert Eymard, 2011 .

Discretization schemes for heterogeneous and anisotropic diffusion problems on general nonconforming meshes

Thierry Gallouët, Raphaèle Herbin, Robert Eymard, 2008 .

A nine point finite volume scheme for the simulation of diffusion in heterogeneous media

Raphaèle Herbin, Robert Eymard, Léo Agélas, 2009 .

Mathematical and Numerical Properties of Control-Volumel Finite-Element Scheme for Reservoir Simulation

Robert Eymard, R. Eymard, Fernand Sonier, 1994 .

A cell-centred finite volume approximation for second order partial derivative operators with full matrix on unstructured meshes in any space dimension

Robert Eymard, Raphaele Herbin, Thierry Gallouet, 2005 .

A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions

Raphaèle Herbin, Robert Eymard, R. Eymard, 2005 .