Robert EYMARD

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Publications

Nom:	EYMARD
Prénom:	Robert
Site:	UGE
Bureau:	4B 011
Téléphone:	+33 1 60 95 72 81
Situation:	Permanent
Statut:	Professeur
Équipe de recherche:	Équations aux dérivées partielles
Courriel:	robert.eymard@univ-eiffel.fr
Page personnelle:	http://perso.math.u-pem.fr/reymard/

OPTIMAL ERROR BOUNDS FOR THE TWO POINT FLUX APPROXIMATION FINITE VOLUME SCHEME

auteur

Robert Eymard, Thierry Gallouët, Raphaele Herbin

Mathematics of Computation 94 (2025) 2271–2298
A monotone numerical flux for quasilinear convection diffusion equation

auteur

Claire Chainais-Hillairet, Robert Eymard, Jürgen Fuhrmann

Mathematics of Computation 93 (2024) 203-231
A new convergence proof for approximations of the Stefan problem

auteur

Robert Eymard, Thierry Gallouët

Discrete and Continuous Dynamical Systems - Series A 43 (2023) 1383-1399
Convergence of the incremental projection method using conforming approximations

auteur

Robert Eymard, David Maltese

Computational Methods in Applied Mathematics (2023)
Weighted p−Laplace approximation of linear and quasi-linear elliptic problems with measure data

auteur

Robert Eymard, David Maltese, Alain Prignet

Journal of Differential Equations 330 (2022) 208-236
Exact pressure elimination for the Crouzeix-Raviart scheme applied to the Stokes and Navier-Stokes problems

auteur

Eric Chénier, Robert Eymard

(2021)
A unified analysis of elliptic problems with various boundary conditions and their approximation

auteur

Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin

Czechoslovak Mathematical Journal 70 (2020) 339–368
Unified convergence analysis of numerical schemes for a miscible displacement problem

auteur

Jérôme Droniou, Robert Eymard, Alain Prignet, Kyle S. Talbot

Foundations of Computational Mathematics 19 (2019) 333–374
Numerical methods for piecewise deterministic Markov processes with boundary

auteur

Christiane Cocozza-Thivent, Robert Eymard, Ludovic Goudenège, Michel Roussignol

IMA Journal of Numerical Analysis 37 (2017) 170-208
Convergence in $C(\lbrack0,T\rbrack;L^2(\Omega))$ of weak solutions to perturbed doubly degenerate parabolic equations

auteur

Jerome Droniou, Robert Eymard, Kyle S Talbot

Journal of Differential Equations (2016)
Gradient Schemes for Stokes problem

auteur

Jerome Droniou, Robert Eymard, Pierre Feron

IMA Journal of Numerical Analysis (2015)
High Performance Computing linear algorithms for two-phase flow in porous media

auteur

Robert Eymard, Cindy Guichard, Roland Masson

(2014)
An extension of the MAC scheme to locally refined meshes : convergence analysis for the full tensor time-dependent Navier-Stokes equations

auteur

Eric Chénier, Robert Eymard, Thierry Gallouët, Raphaele Herbin

Calcolo 52 (2014) 69-107
Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation

auteur

Robert Eymard, Cindy Guichard, Raphaèle Herbin, Roland Masson

Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (2013) Volume 94, Issue 7-8, pages 560–585, July 2014
Gradient schemes for the Stefan problem

auteur

Robert Eymard, Pierre Féron, Thierry Gallouët, Raphaèle Herbin, Cindy Guichard

International Journal on Finite Volumes (2013) Volume 10 special
Vertex-centred Discretization of Multiphase Compositional Darcy Flows on General Meshes

auteur

Cindy Guichard, Robert Eymard, Raphaele Herbin, Roland Masson, P Samier

(2012)
Grid Orientation Effect and MultiPoint Flux Approximation

auteur

Robert Eymard, Cindy Guichard, Roland Masson

4 (2011) 419-427
3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids

auteur

Robert Eymard, Gérard Henry, Rapahele Herbin, Florence Hubert, Robert Klofkorn, Gianmarco Manzini

(2011) 895--930
An Extension of the MAC Scheme to some Unstructured Meshes

auteur

Eric Chénier, Robert Eymard, R. Herbin

4 (2011) 253-261
Multiphase Flow in Porous Media Using the VAG Scheme

auteur

Robert Eymard, Cindy Guichard, Raphaele Herbin, Roland Masson

4 (2011) 409-417
An abstract analysis framework for nonconforming approximations of diffusion problems on general meshes

auteur

L. Agélas, D. A. Di Pietro, Robert Eymard, R. Masson

International Journal on Finite Volumes 7 (2010) 1-29
A convergent Finite Element-Finite Volume scheme for the compressible Stokes problem, Part II -- the isentropic case

auteur

Robert Eymard, Thierry Gallouët, Raphaele Herbin, Jean-Claude Latché

Math. Comp. 79 (2010) 649--675
Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces

auteur

Robert Eymard, Thierry Gallouët, Raphaele Herbin

IMA Journal of Numerical Analysis 30 (2010) 1009-1043
Algorithms for coupled mechanical deformations and fluid flow in a porous medium with different time scales

auteur

Fatima-Zahra Daïm, Danielle Hilhorst, Jacques Laminie, Robert Eymard

International Journal of Numerical Analysis and Modeling 5 (2009) 635-658
Towards a generalization of the MAC scheme on unstructured meshes

auteur

Eric Chénier, Robert Eymard, R. Herbin

(2009)
Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows

auteur

Robert Eymard, Raphaele Herbin, Jean-Claude Latché, Bruno Piar

ESAIM: Mathematical Modelling and Numerical Analysis 43 (2009) 889-927
An implicit finite volume scheme for a scalar hyperbolic problem with measure data related to piecewise deterministic Markov processes

auteur

Robert Eymard, Sophie Mercier, Alain Prignet

Journal of Computational and Applied Mathematics 222 (2008) 293-323
Comparison of numerical methods for the assessment of production availability of a hybrid system

auteur

Robert Eymard, Sophie Mercier

Reliability Engineering and System Safety 93 (2008) 168-177
Simulation of natural convection with the Collocated Clustered Finite Volume scheme

auteur

O. Touazi, Eric Chénier, Robert Eymard

Computers and Fluids 37 (2008) 1138--1147
A fast precipitation and dissolution reaction for a reaction diffusion system arising in a porous medium

auteur

Nicolas Bouillard, Robert Eymard, Marie Henry, Raphaele Herbin, Danielle Hilhorst

ESAIM: Mathematical Modelling and Numerical Analysis 41 (2007) 975-1000
Mathematical and numerical study of a system of conservation laws

auteur

Robert Eymard, Elodie Tillier

Journal of Evolution Equations (2007) http://www.springerlink.com/content/wrj46l34231r8k66/?MUD=MP
A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids

auteur

Robert Eymard, Raphaele Herbin

Comptes Rendus. Mathématique (2007)
Characterization of the marginal distributions of Markov processes used in dynamic reliability

auteur

Christiane Cocozza-Thivent, Robert Eymard, Sophie Mercier, Michel Roussignol

Journal of Applied Mathematics and Stochastic Analysis 2006 (2006) 1-18
A finite-volume scheme for dynamic reliability models

auteur

Christiane Cocozza-Thivent, Robert Eymard, Sophie Mercier

IMA Journal of Numerical Analysis 26 (2005) 446-471
A staggered finite volume scheme on general meshes for the generalized Stokes problem in two space dimensions AstaggeredschemefortheStokesequations

auteur

Philippe Blanc, Robert Eymard, Raphaèle Herbin

International Journal on Finite Volumes 2 (2005) 1-31
A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions

auteur

Robert Eymard, Raphaèle Herbin

International Journal on Finite Volumes 2 (2005) 1-18