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/eymard.robert/

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

auteur

Robert Eymard, Thierry Gallouët, Raphaele Herbin

(2024)
Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity

auteur

J. Droniou, R. Eymard, T. Gallouët, C. Guichard, R. Herbin

SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada (2024)
Exact pressure elimination for the Crouzeix-Raviart scheme applied to the Stokes and Navier-Stokes problems

auteur

Eric Chénier, Robert Eymard

(2021)
The gradient discretisation method for linear advection problems

auteur

Jérôme Droniou, Robert Eymard, T. Gallouët, R. Herbin

Computational Methods in Applied Mathematics 20 (2020) 43-458
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
DGM, an item of GDM

auteur

Robert Eymard, Cindy Guichard

(2017)
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)
Uniform-in-time convergence result of numerical methods for non-linear parabolic equations

auteur

Jérôme Droniou, Robert Eymard

Numerische Mathematik (2015)
UNIFORM TEMPORAL STABILITY OF SOLUTIONS TO DOUBLY NONLINEAR DEGENERATE PARABOLIC EQUATIONS

auteur

Jerome Droniou, Robert Eymard, Kyle S. Talbot

(2015)
L2-stability independent of diffusion for a finite element -- finite volume discretization of a linear convection-diffusion equation

auteur

Paul Deuring, Robert Eymard, Marcus Mildner

SIAM Journal on Numerical Analysis 53 (2015) 508-526
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
High Performance Computing linear algorithms for two-phase flow in porous media

auteur

Robert Eymard, Cindy Guichard, Roland Masson

(2014)
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
Vertex-centred Discretization of Multiphase Compositional Darcy Flows on General Meshes

auteur

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

(2012)
Multiphase Flow in Porous Media Using the VAG Scheme

auteur

Robert Eymard, Cindy Guichard, Raphaele Herbin, Roland Masson

4 (2011) 409-417
An Extension of the MAC Scheme to some Unstructured Meshes

auteur

Eric Chénier, Robert Eymard, R. Herbin

4 (2011) 253-261
Grid Orientation Effect and MultiPoint Flux Approximation

auteur

Robert Eymard, Cindy Guichard, Roland Masson

4 (2011) 419-427
Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage

auteur

O. Angelini, C. Chavant, Eric Chénier, Robert Eymard, S. Granet

Mathematics and Computers in Simulation 81 (2011) 2001-2017
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
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
On Intrinsic Formulation and Well-posedness of a Singular Limit of Two-phase Flow Equations in Porous Media

auteur

Boris Andreianov, Robert Eymard, Mustapha Ghilani, Nouzha Marhraoui

38 (2010) pp. 21-34
Towards a generalization of the MAC scheme on unstructured meshes

auteur

Eric Chénier, Robert Eymard, R. Herbin

(2009)
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids

auteur

Robert Eymard, Thierry Gallouët, Raphaele Herbin

Journal of Numerical Mathematics 17 (2009) 173--193
A nine point finite volume scheme for the simulation of diffusion in heterogeneous media

auteur

Léo Agélas, Robert Eymard, Raphaele Herbin

Comptes rendus de l'Académie des sciences. Série I, Mathématique 347 (2009) 673-676
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
Collocated finite volume schemes for the simulation of natural convective flows on unstructured meshes

auteur

Eric Chénier, Robert Eymard, R. Herbin, O. Touazi

International Journal for Numerical Methods in Fluids 56 (2008) 2045--2068
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)
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
Identification of a stratigraphic model with seismic constraints

auteur

Jacques Blum, Gabriela Dobranszky, Robert Eymard, Roland Masson

Inverse Problems 22 (2006) 1207-1225
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 mixed finite volume scheme for anisotropic diffusion problems on any grid

auteur

J. Droniou, Robert Eymard

Numerische Mathematik 105 (2006) http://rd.springer.com/article/10.1007/s00211-006-0034-1
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
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