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 [at] univ-eiffel.fr
Page personnelle:	http://perso.math.u-pem.fr/eymard.robert/

Publications au sein du laboratoire

La liste ci-dessous présente les publications du membre obtenues pendant sa présence au sein du laboratoire. Les données proviennent des serveurs de HAL ; il peut donc y avoir des oublis, des doublons ou des erreurs.

The gradient discretisation method for linear advection problems

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

Computational Methods in Applied Mathematics (2019)
The gradient discretisation method

Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaele Herbin

Springer International Publishing AG Mathématiques et Applications 82 (2018)
Unified convergence analysis of numerical schemes for a miscible displacement problem

Jérôme Droniou, Robert Eymard, Alain Prignet, Kyle Talbot

Foundations of Computational Mathematics (2018)
Numerical methods for piecewise deterministic Markov processes with boundary

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

IMA Journal of Numerical Analysis 37 1 (2017) 170-208
Family of convergent numerical schemes for the incompressible Navier-Stokes equations

Robert Eymard, Pierre Feron, Cindy Guichard

Mathematics and Computers in Simulation (2017)
An error estimate for the approximation of linear parabolic equations by the Gradient Discretization Method

Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaele Herbin

FVCA 2017 - International Conference on Finite Volumes for Complex Applications VIII (2017)
DGM, an item of GDM

Robert Eymard, Cindy Guichard

FVCA 2017 - International Conference on Finite Volumes for Complex Applications VIII (2017)
Discontinuous Galerkin gradient discretisations for the approximation of second-order differential operators in divergence form

Robert Eymard, Cindy Guichard

Computational and Applied Mathematics (2017)
Gradient schemes: generic tools for the numerical analysis of diffusion equations

Jérôme Droniou, Robert Eymard, Raphaele Herbin

ESAIM: Mathematical Modelling and Numerical Analysis 50 3 (2016) 749-781
Convergence in $C(\lbrack0,T\rbrack;L^2(\Omega))$ of weak solutions to perturbed doubly degenerate parabolic equations

Jerome Droniou, Robert Eymard, Kyle Talbot

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

Jerome Droniou, Robert Eymard, Pierre Feron

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

Paul Deuring, Robert Eymard, Marcus Mildner

SIAM Journal on Numerical Analysis (2015)
Applications of approximate gradient schemes for nonlinear parabolic equations

Robert Eymard, Angela Handlovicova, Raphaèle Herbin, Karol Mikula, O. Stašová

Applications of Mathematics (2015)
Gradient Schemes for incompressible steady Navier-Stokes problem

Robert Eymard, Pierre Feron, Cindy Guichard

MAMERN VI–2015: 6 th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources (2015)
Uniform-in-time convergence result of numerical methods for non-linear parabolic equations

Jérôme Droniou, Robert Eymard

Numerische Mathematik (2015)
Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems

François Bouchut, Robert Eymard, Alain Prignet

Journal of Evolution Equations (2014) 14(3):635-669, 2014
TP or not TP, that is the question

Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin, Roland Masson

Computational Geosciences (2014) 18:285-296, 2014
An extension of the MAC scheme to locally refined meshes : convergence analysis for the full tensor time-dependent Navier-Stokes equations

Eric Chénier, Robert Eymard, Thierry Gallouët, Raphaele Herbin

Calcolo 52 1 (2014) 69-107
Convection and total variation flow

François Bouchut, David Doyen, Robert Eymard

IMA Journal of Numerical Analysis (2014)
High Performance Computing linear algorithms for two-phase flow in porous media

Robert Eymard, Cindy Guichard, Roland Masson

FVCA7 - The International Symposium of Finite Volumes for Complex Applications VII (2014)
Uniform-in-time convergence of numerical schemes for Richards' and Stefan's models

Jérôme Droniou, Robert Eymard, Cindy Guichard

FVCA7 - The International Symposium of Finite Volumes for Complex Applications VII (2014)
Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations

Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin

Mathematical Models and Methods in Applied Sciences (2013) 23(13), 2395-2432
Gradient schemes for the Stefan problem

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

International Journal on Finite Volumes (2013) Volume 10 special
Study of a numerical scheme for miscible two-phase flow in porous media

Robert Eymard, V Schleper

Numerical Methods for Partial Differential Equations (2013) 30(3):723-748, 2014
Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation

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
Finite volume schemes for the biharmonic problem on general meshes

Robert Eymard, Thierry Gallouët, Raphaele Herbin, Alexander Linke

Mathematics of Computation 81 280 (2012) 2019-2048
Finite volume approximation of degenerate two-phase flow model with unlimited air mobility

Boris Andreianov, Robert Eymard, Mustapha Ghilani, Nouzha Marhraoui

Numerical Methods for Partial Differential Equations 29 2 (2012) pp. 441-474
Small-stencil 3D schemes for diffusive flows in porous media

Robert Eymard, Cindy Guichard, Raphaele Herbin

ESAIM: Mathematical Modelling and Numerical Analysis 46 (2012) 265-290
Convergence of a misanthrope process to the entropy solution of 1D problems

Robert Eymard, Michel Roussignol, Antoine Tordeux

Stochastic Processes and their Applications 122 (2012) http://www.sciencedirect.com/science/article/pii/S0304414912001536
Vertex centred Discretization of Two-Phase Darcy flows on General Meshes

Robert Eymard, Cindy Guichard, Raphaele Herbin, Roland Masson

ESAIM: Proceedings 35 (2012) 59-78
Approximation of nonlinear parabolic equations using a family of conformal and non-conformal schemes

Robert Eymard, Angela Handlovicova, Karol Mikula

Communications on Pure and Applied Mathematics 11 1 (2012) http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=6484
Vertex-centred discretization of multiphase compositional Darcy flows on general meshes

Robert Eymard, Cindy Guichard, Raphaele Herbin, Roland Masson

Computational Geosciences 16 4 (2012) 987 - 1005
Grid Orientation Effect in coupled Finite Volume Schemes

Robert Eymard, Cindy Guichard, Roland Masson

IMA Journal of Numerical Analysis (2012) http://imajna.oxfordjournals.org/cgi/authordata?d=10.1093/imanum/drs016&k=929ef8d7
Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data

François Bouchut, Robert Eymard, Alain Prignet

Journal of Evolution Equations 11 3 (2011) 687-724
An Extension of the MAC Scheme to some Unstructured Meshes

Eric Chénier, Robert Eymard, R. Herbin

6th International Symposium on Finite Volumes for Complex Applications 4 (2011) 253-261
Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage

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

Mathematics and Computers in Simulation 81 10 (2011) 2001-2017
3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids

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

Finite Volume for Complex Applications VI (2011) 895--930
Approximation of the biharmonic problem using P1 finite elements

Robert Eymard, Raphaèle Herbin, Mohamed Rhoudaf

Journal of Numerical Mathematics (2011) Volume 19, Issue 1, Pages 1-26
Hybrid finite volume discretization of linear elasticity models on general meshes

Daniele Antonio Di Pietro, Robert Eymard, Simon Lemaire, Roland Masson

Finite Volumes for Complex Applications VI Problems & Perspectives 4 (2011) 331-339
Importance and Sensitivity Analysis in Dynamic Reliability

Robert Eymard, Sophie Mercier, Michel Roussignol

Methodology and Computing in Applied Probability 13 1 (2011) 75-104
Study of a finite volume scheme for the regularised mean curvature flow level set equation

Robert Eymard, Angela Handlovicova, Karol Mikula

IMA Journal of Numerical Analysis (2011) http://imajna.oxfordjournals.org/content/31/3/813
A Collocated Finite Volume Scheme for the Incompressible Navier-Stokes Equations on General Non-Matching Grids

Eric Chénier, Robert Eymard, R. Herbin

5th International Symposium on Finite Volumes for Complex Applications (2010) 289-296
Convergence of the MAC scheme for the compressible Stokes equations

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

SIAM Journal on Numerical Analysis 48 6 (2010) 2218-2246
On Intrinsic Formulation and Well-posedness of a Singular Limit of Two-phase Flow Equations in Porous Media

Boris Andreianov, Robert Eymard, Mustapha Ghilani, Nouzha Marhraoui

Eleventh International Conference Zaragoza–Pau on Applied Mathematics and Statistics 38 (2010) pp. 21-34
An abstract analysis framework for nonconforming approximations of diffusion problems on general meshes

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

International Journal on Finite Volumes 7 1 (2010) 1-29
Approximation of the biharmonic problem using piecewise linear finite elements,Approximation d'un problème biharmonique par élément fini P1

Robert Eymard, Raphaèle Herbin

Comptes Rendus Mathématique 348 (2010) 1283-1286
Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows

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

ESAIM: Mathematical Modelling and Numerical Analysis 43 5 (2009) 889-927
Algorithms for coupled mechanical deformations and fluid flow in a porous medium with different time scales

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

International Journal of Numerical Analysis and Modeling 5 4 (2009) 635-658
Algorithms for coupled mechanical deformations and fluid flow in a porous medium with different time scales.

Jacques Laminie, Fatima Zahra Daim, Danielle Hilhorst, Robert Eymard

International Journal of Numerical Analysis and Modeling 5 4 (2009) 635-658
Towards a generalization of the MAC scheme on unstructured meshes

Eric Chénier, Robert Eymard, R. Herbin

Workshop on Discretization methods for viscous flows (2009)
A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids

Robert Eymard, D. Hilhorst, Martin Vohralík

Numerical Methods for Partial Differential Equations 26 3 (2009) 612-646
Comparison of numerical methods for the assessment of production availability of a hybrid system

Robert Eymard, Sophie Mercier

Reliability Engineering and System Safety 93 1 (2008) 168-177
An implicit finite volume scheme for a scalar hyperbolic problem with measure data related to piecewise deterministic Markov processes

Robert Eymard, Sophie Mercier, Alain Prignet

Journal of Computational and Applied Mathematics 222 2 (2008) 293-323
Study of the mixed finite volume method for Stokes and Navier-Stokes equations

Jerome Droniou, Robert Eymard

Numerical Methods for Partial Differential Equations (2008)
Mathematical and numerical study of a system of conservation laws

Robert Eymard, Elodie Tillier

Journal of Evolution Equations (2007) http://www.springerlink.com/content/wrj46l34231r8k66/?MUD=MP
Existence of a solution for two phase flow in porous media: The case that the porosity depends on the pressure

Fatima-Zahra Daim, Robert Eymard, Danielle Hilhorst

Journal of Mathematical Analysis and Applications 326 1 (2007) 332-351
A mixed finite volume scheme for anisotropic diffusion problems on any grid

J. Droniou, Robert Eymard

Numerische Mathematik 105 (2006) http://rd.springer.com/article/10.1007/s00211-006-0034-1
Characterization of the marginal distributions of Markov processes used in dynamic reliability

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

Journal of Applied Mathematics and Stochastic Analysis 2006 (2006) 1-18
On a stabilized colocated Finite Volume scheme for the Stokes problem

Robert Eymard, Raphaele Herbin, Jean-Claude Latché

ESAIM: Mathematical Modelling and Numerical Analysis 40 3 (2006) 501-527
Identification of a stratigraphic model with seismic constraints

Jacques Blum, Gabriela Dobranszky, Robert Eymard, Roland Masson

Inverse Problems 22 (2006) 1207-1225
A finite-volume scheme for dynamic reliability models

Christiane Cocozza-Thivent, Robert Eymard, Sophie Mercier

IMA Journal of Numerical Analysis 26 3 (2005) 446-471
Approximation of the marginal distributions of a semi-Markov process using a finite volume scheme

Christiane Cocozza-Thivent, Robert Eymard

ESAIM: Mathematical Modelling and Numerical Analysis 38 5 (2004) 853-875
Finite volume schemes for two phase flow in porous media

Robert Eymard, Thierry Gallouët

Computing and Visualization in Science 7 (2004) 31-40
A finite volume scheme for anisotropic diffusion problems

Robert Eymard, Thierry Gallouët, Raphaele Herbin

Comptes rendus de l'Académie des sciences. Série I, Mathématique (2004) 299-302
Limit boundary conditions for finite volume approximations of some physical problems

Robert Eymard, Thierry Gallouët, Julien Vovelle

Journal of Computational and Applied Mathematics (2003) pp. 349-369
H-convergence and numerical schemes for elliptic equations

Robert Eymard, Thierry Gallouët

SIAM Journal on Numerical Analysis (2003) 539-562