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Eymard, Robert

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Author ID: eymard.robert Recent zbMATH articles by "Eymard, Robert"
Published as: Eymard, Robert; Eymard, R.
Documents Indexed: 149 Publications since 1989, including 2 Books
all top 5

Co-Authors

1 single-authored
66 Herbin, Raphaèle
48 Gallouët, Thierry
21 Droniou, Jérôme
16 Guichard, Cindy
16 Hilhorst, Danielle
14 Masson, Roland
10 Chénier, Eric
8 Latché, Jean-Claude
6 Bloch-Mercier, Sophie
5 Cocozza-Thivent, Christiane
5 Prignet, Alain
5 Roussignol, Michel
4 Bouchut, François
4 Ghilani, Mustapha
4 Gutnic, Michaël
4 Handlovičová, Angela
4 Mikula, Karol
3 Bouillard, Nicolas
3 Feron, Pierre
3 Fuhrmann, Jürgen
3 Gervais, Véronique
3 Linke, Alexander
3 Michel, Anthony
3 Piar, Bruno
3 Vohralík, Martin
2 Angelini, Ophélie
2 Chavant, Clément
2 Daïm, Fatima-Zohra
2 Deuring, Paul
2 Doyen, David
2 Enchéry, Guillaume
2 Granjeon, Didier
2 Henry, Marie
2 Marhraoui, Nouzha
2 Montarnal, Philippe
2 Stašová, Olga
2 Talbot, Kyle S.
2 Touazi, Ouardia
2 Tran, Quang Huy
1 Agelas, Leo
1 Andreianov, Boris
1 Antonietti, Paola Francesca
1 Berton, Julien
1 Blanc, Philippe
1 Blum, Jacques
1 Chainais-Hillairet, Claire
1 Coussy, Olivier
1 Dangla, Patrick
1 Di Pietro, Daniele Antonio
1 Dobranszky, Gabriela
1 Duquennoi, Christian
1 Gärtner, Klaus
1 Gholamifard, S.
1 Goudenège, Ludovic
1 Granet, Sylvie
1 Gunawan, Putu Harry
1 Henry, Gérard
1 Hérard, Jean-Marc
1 Hubert, Florence
1 Klöfkorn, Robert
1 Laminie, Jacques
1 Lemaire, Simon
1 Mainguy, M.
1 Mildner, Marcus
1 Murakawa, Hideki
1 Naït Slimane, Y.
1 Nicolas, X.
1 Olech, Michał
1 Peletier, Lambertus Adrianus
1 Pudjaprasetya, Sri Redjeki
1 Rhoudaf, Mohamed
1 Schleper, Veronika
1 Tordeux, Antoine
1 van der Hout, Rein
1 Vovelle, Julien
1 Wolf, Sylvie
all top 5

Serials

11 IMA Journal of Numerical Analysis
9 SIAM Journal on Numerical Analysis
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Numerische Mathematik
6 Numerical Methods for Partial Differential Equations
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Computational Geosciences
3 Mathematics and Computers in Simulation
3 Chinese Annals of Mathematics. Series B
3 Acta Mathematica Universitatis Comenianae. New Series
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Journal of Evolution Equations
3 Computational Methods in Applied Mathematics
2 Journal of Computational Physics
2 Mathematics of Computation
2 Calcolo
2 Journal of Computational and Applied Mathematics
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Computing and Visualization in Science
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Journal of Numerical Mathematics
1 Computers and Fluids
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Non-Linear Mechanics
1 International Journal for Numerical Methods in Fluids
1 Inverse Problems
1 Journal of Mathematical Analysis and Applications
1 Czechoslovak Mathematical Journal
1 International Journal for Numerical Methods in Engineering
1 Journal of Differential Equations
1 Applied Numerical Mathematics
1 Journal of Applied Mathematics and Stochastic Analysis
1 Applications of Mathematics
1 Stochastic Processes and their Applications
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Computational and Applied Mathematics
1 Advances in Differential Equations
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Methodology and Computing in Applied Probability
1 Nonlinear Analysis. Real World Applications
1 Foundations of Computational Mathematics
1 Communications on Pure and Applied Analysis
1 International Journal of Numerical Analysis and Modeling
1 Mathématiques & Applications (Berlin)
1 Discrete and Continuous Dynamical Systems. Series S

Publications by Year

Citations contained in zbMATH Open

122 Publications have been cited 1,927 times in 992 Documents Cited by Year
Finite volume methods. Zbl 0981.65095
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
392
2000
Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144
Eymard, R.; Gallouët, T.; Herbin, R.
128
2010
A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142
Jérôme; Droniou; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
93
2010
A mixed finite volume scheme for anisotropic diffusion problems on any grid. Zbl 1109.65099
Droniou, Jérôme; Eymard, Robert
74
2006
Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony
67
2002
Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136
Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele
55
2013
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
53
2012
A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110
Eymard, R.; Gallouët, T.; Herbin, R.
52
2006
A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems. Zbl 1108.65099
Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin
45
2006
Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. Zbl 0973.65078
Eymard, R.; Gallouët, T.; Ghilani, M.; Herbin, R.
45
1998
Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355
Eymard, Robert; Herbin, Raphaèle; Michel, Anthony
42
2003
The gradient discretisation method. Zbl 1435.65005
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle
33
2018
The finite volume method for Richards equation. Zbl 0953.76060
Eymard, Robert; Gutnic, Michaël; Hilhorst, Danielle
32
1999
Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122
Eymard, R.; Gallouët, T.; Herbin, R.
28
2001
3D benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1246.76053
Eymard, Robert; Henry, Gérard; Herbin, Raphaèle; Hubert, Florence; Klöfkorn, Robert
27
2011
Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. Zbl 1297.76159
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
25
2014
A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
24
2007
Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation. Zbl 0830.35077
Eymard, R.; Gallouët, T.; Herbin, R.
24
1995
Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2D or 3D meshes. Zbl 1173.76028
Eymard, R.; Herbin, R.; Latché, J. C.
24
2007
A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051
Agelas, Léo; Eymard, Robert; Herbin, Raphaèle
23
2009
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
22
2016
A convergent finite element-finite volume scheme for the compressible Stokes problem. II: The isentropic case. Zbl 1197.35192
Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J. C.
20
2010
Convergence of a finite volume scheme for a nonlinear hyperbolic equation. Zbl 0843.65068
Eymard, R.; Gallouët, T.; Herbin, R.
20
1995
A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local Dirichlet problems. Zbl 1116.65101
Eymard, Robert; Fuhrmann, Jürgen; Gärtner, Klaus
20
2006
Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185
Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C.
19
2010
On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370
Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude
18
2006
Numerical approximation of a two-phase flow problem in a porous medium with discontinuous capillary forces. Zbl 1145.76046
Enchéry, Guillaume; Eymard, R.; Michel, A.
18
2006
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. Zbl 1342.65180
Droniou, Jérôme; Eymard, Robert
18
2016
Finite volumes and nonlinear diffusion equations. Zbl 0914.65101
Eymard, R.; Gallouët, T.; Hilhorst, D.; Naït Slimane, Y.
17
1998
Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
17
1999
H-convergence and numerical schemes for elliptic problems. Zbl 1049.35015
Eymard, Robert; Gallouët, Thierry
16
2003
TP or not TP, that is the question. Zbl 1378.76118
Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R.
15
2014
Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage. Zbl 1419.76449
Angelini, O.; Chavant, C.; Chénier, E.; Eymard, R.; Granet, S.
14
2011
Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
14
2002
Study of the mixed finite volume method for Stokes and Navier-Stokes equations. Zbl 1153.76044
Droniou, Jérôme; Eymard, Robert
14
2009
A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids. Zbl 1192.65117
Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin
13
2010
An error estimate for the approximation of linear parabolic equations by the gradient discretization method. Zbl 1372.65256
Droniou, J.; Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.
13
2017
A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle
12
2004
An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395
Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle
12
2004
A finite volume scheme for diffusion problems on general meshes applying monotony constraints. Zbl 1261.65108
Angelini, O.; Chavant, C.; Chénier, E.; Eymard, R.
11
2010
Existence of a solution for two phase flow in porous media: the case that the porosity depends on the pressure. Zbl 1110.35033
Daïm, F. Z.; Eymard, R.; Hilhorst, D.
11
2007
Multi-lithology stratigraphic model under maximum erosion rate constraint. Zbl 1098.76618
Eymard, R.; Gallouët, T.; Granjeon, D.; Masson, R.; Tran, Q. H.
11
2004
SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
11
2008
A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids. Zbl 1114.76047
Eymard, Robert; Herbin, Raphaèle
10
2007
Analysis tools for finite volume schemes. Zbl 1133.65062
Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude
10
2007
Convergence of a finite element/finite volume type scheme for a system formed by an elleptic equation and a hyperbolic equation. (Convergence d’un schéma de type éléments finis-volumes finis pour un système formé d’une équation elliptique et d’une équation hyperbolique.) Zbl 0792.65073
Eymard, R.; Gallouët, T.
10
1993
Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
10
2012
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138
Eymard, R.; Gallouët, T.; Herbin, R.
9
2009
Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075
Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D.
9
2000
A reaction-diffusion system approximation of a one-phase Stefan problem. Zbl 1054.35019
Eymard, R.; Hilhorst, D.; van der Hout, R.; Peletier, L. A.
8
2001
Approximation by the finite volume method of an elliptic-parabolic equation arising in environmental studies. Zbl 1173.76359
Eymard, R.; Gallouët, T.; Herbin, R.; Gutnic, M.; Hilhorst, D.
8
2001
Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135
Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A.
8
2012
Hybrid finite element techniques for oil recovery simulation. Zbl 0687.76101
Eymard, R.; Gallouët, T.; Joly, P.
8
1989
Study of a finite volume scheme for the regularized mean curvature flow level set equation. Zbl 1241.65072
Eymard, Robert; Handlovičová, Angela; Mikula, Karol
7
2011
A finite-volume scheme for dynamic reliability models. Zbl 1109.65011
Cocozza-Thivent, C.; Eymard, R.; Mercier, S.
7
2006
Characterization of the marginal distributions of Markov processes used in dynamic reliability. Zbl 1101.60068
Cocozza-Thivent, Christiane; Eymard, Robert; Mercier, Sophie; Roussignol, Michel
7
2006
Diffusion with dissolution and precipitation in a porous medium: mathematical analysis and numerical approximation of a simplified model. Zbl 1130.76086
Bouillard, Nicolas; Eymard, Robert; Herbin, Raphaele; Montarnal, Philippe
7
2007
An implicit finite volume scheme for a scalar hyperbolic problem with measure data related to piecewise deterministic Markov processes. Zbl 1158.65008
Eymard, Robert; Mercier, Sophie; Prignet, Alain
7
2008
Mathematical and numerical study of an industrial scheme for two-phase flows in porous media under gravity. Zbl 1098.76625
Enchery, G.; Eymard, R.; Masson, R.; Wolf, S.
6
2002
On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem. Zbl 1137.76062
Eymard, R.; Herbin, R.; Latché, J. C.; Piar, B.
5
2007
Convergence of a numerical scheme for stratigraphic modeling. Zbl 1096.35005
Eymard, R.; Gallouët, T.; Gervais, V.; Masson, R.
5
2005
Convergence in \(C([0,T];L^{2}(\Omega))\) of weak solutions to perturbed doubly degenerate parabolic equations. Zbl 1386.35176
Droniou, Jérôme; Eymard, Robert; Talbot, Kyle S.
5
2016
Grid orientation effect in coupled finite volume schemes. Zbl 1328.76046
Eymard, R.; Guichard, C.; Masson, R.
5
2013
On MAC schemes on triangular Delaunay meshes, their convergence and application to coupled flow problems. Zbl 1383.76353
Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander
5
2014
An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier-Stokes equations. Zbl 1310.76105
Chénier, Eric; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
5
2015
Numerical approximation of a reaction-diffusion system with fast reversible reaction. Zbl 1206.35018
Eymard, Robert; Hilhorst, Danielle; Murakawa, Hideki; Olech, Michal
4
2010
A fast precipitation and dissolution reaction for a reaction-diffusion system arising in a porous medium. Zbl 1167.35396
Bouillard, N.; Eymard, R.; Henry, M.; Herbin, R.; Hilhorst, D.
4
2009
Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows. Zbl 1246.76087
Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude; Piar, Bruno
4
2009
Instantaneous and noninstantaneous dissolution: Approximation by the finite volume method. Zbl 1020.65052
Eymard, R.; Gallouët, T.; Herbin, R.; Hilhorst, D.; Mainguy, M.
4
1999
Analytical and numerical study of a model of erosion and sedimentation. Zbl 1145.76047
Eymard, Robert; Gallouët, Thierry
4
2006
Gradient schemes for Stokes problem. Zbl 1433.76080
Droniou, Jérôme; Eymard, Robert; Feron, Pierre
4
2016
Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data. Zbl 1236.65117
Bouchut, F.; Eymard, R.; Prignet, A.
4
2011
Hybrid finite volume discretization of linear elasticity models on general meshes. Zbl 1246.76051
Di Pietro, Daniele A.; Eymard, Robert; Lemaire, Simon; Masson, Roland
4
2011
MAC schemes on triangular meshes. Zbl 1246.76125
Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander
4
2011
Gradient scheme approximations for diffusion problems. Zbl 1246.65205
Eymard, Robert; Herbin, Raphaèle
4
2011
Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118
Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed
3
2011
A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions. Zbl 1084.76052
Eymard, Robert; Herbin, Raphaèle
3
2003
Limit boundary conditions for finite volume approximations of some physical problems. Zbl 1107.76361
Eymard, Robert; Gallouët, Thierry; Vovelle, Jullien
3
2003
A finite volume scheme for the transport of radionucleides in porous media. Zbl 1060.76074
Chénier, E.; Eymard, R.; Nicolas, X.
3
2004
Approximation of the marginal distributions of a semi-Markov process using a finite volume scheme. Zbl 1078.60075
Cocozza-Thivent, Christiane; Eymard, Robert
3
2004
\(L^2\)-stability independent of diffusion for a finite element-finite volume discretization of a linear convection-diffusion equation. Zbl 1312.65158
Deuring, Paul; Eymard, Robert; Mildner, Marcus
3
2015
Study of a numerical scheme for miscible two-phase flow in porous media. Zbl 1355.76039
Eymard, Robert; Schleper, Veronika
3
2014
The asymmetric gradient discretisation method. Zbl 1372.65292
Droniou, J.; Eymard, R.
3
2017
Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309
Eymard, R.; Gallouët, T.; Herbin, R.
3
2008
Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
3
2015
Approximation of the biharmonic problem using piecewise linear finite elements. (Approximation d’un problème biharmonique par élément fini \(P1\).) Zbl 1205.65314
Eymard, Robert; Herbin, Raphaèle
2
2010
Finite volume schemes for nonlinear parabolic problems: another regularization method. Zbl 1134.35069
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaele
2
2007
Unified convergence analysis of numerical schemes for a miscible displacement problem. Zbl 1411.65109
Droniou, Jérôme; Eymard, Robert; Prignet, Alain; Talbot, Kyle S.
2
2019
The finite volume method for an elliptic-parabolic equation. Zbl 0930.35082
Eymard, R.; Gutnic, M.; Hilhorst, D.
2
1998
Convergence of a finite-volume mixed finite-element method for an elliptic-hyperbolic system. Zbl 1040.76034
Droniou, J.; Eymard, R.; Hilhorst, D.; Zhou, X. D.
2
2003
Finite volumes for complex applications. V. Proceedings of the 5th International Symposium, Aussois, June 2008. Zbl 1162.65302
Eymard, Robert (ed.); Hérard, Jean-Marc (ed.)
2
2008
A collocated finite volume scheme to solve free convection for general non-conforming grids. Zbl 1158.76028
Chénier, Eric; Eymard, Robert; Herbin, Raphaèle
2
2009
A finite volume scheme on general meshes for the steady Navier-Stokes equations in two space dimensions. Zbl 1173.76361
Eymard, Robert; Herbin, Raphaèle
2
2004
A partial differential inequality in geological models. Zbl 1136.76047
Eymard, Robert; Gallouët, Thierry
2
2007
Finite volume approximation of degenerate two-phase flow model with unlimited air mobility. Zbl 1364.76106
Andreianov, Boris; Eymard, Robert; Ghilani, Mustapha; Marhraoui, Nouzha
2
2013
Discontinuous Galerkin gradient discretisations for the approximation of second-order differential operators in divergence form. Zbl 1402.65156
Eymard, Robert; Guichard, Cindy
2
2018
Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. Zbl 1297.49012
Bouchut, F.; Eymard, R.; Prignet, A.
2
2014
Use of the mixed finite volume method. Zbl 1374.76123
Chainais-Hillairet, C.; Droniou, J.; Eymard, R.
2
2008
Uniform-in-time convergence of numerical schemes for Richards’ and Stefan’s models. Zbl 1298.65134
Droniou, Jérôme; Eymard, Robert; Guichard, Cindy
2
2014
Gradient schemes for image processing. Zbl 1246.65163
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2
2011
High-order mass-lumped schemes for nonlinear degenerate elliptic equations. Zbl 1447.65116
Droniou, Jerome; Eymard, Robert
2
2020
Unified convergence analysis of numerical schemes for a miscible displacement problem. Zbl 1411.65109
Droniou, Jérôme; Eymard, Robert; Prignet, Alain; Talbot, Kyle S.
2
2019
The gradient discretisation method. Zbl 1435.65005
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle
33
2018
Discontinuous Galerkin gradient discretisations for the approximation of second-order differential operators in divergence form. Zbl 1402.65156
Eymard, Robert; Guichard, Cindy
2
2018
An error estimate for the approximation of linear parabolic equations by the gradient discretization method. Zbl 1372.65256
Droniou, J.; Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.
13
2017
The asymmetric gradient discretisation method. Zbl 1372.65292
Droniou, J.; Eymard, R.
3
2017
DGM, an item of GDM. Zbl 1372.65306
Eymard, Robert; Guichard, Cindy
1
2017
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
22
2016
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. Zbl 1342.65180
Droniou, Jérôme; Eymard, Robert
18
2016
Convergence in \(C([0,T];L^{2}(\Omega))\) of weak solutions to perturbed doubly degenerate parabolic equations. Zbl 1386.35176
Droniou, Jérôme; Eymard, Robert; Talbot, Kyle S.
5
2016
Gradient schemes for Stokes problem. Zbl 1433.76080
Droniou, Jérôme; Eymard, Robert; Feron, Pierre
4
2016
An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier-Stokes equations. Zbl 1310.76105
Chénier, Eric; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
5
2015
\(L^2\)-stability independent of diffusion for a finite element-finite volume discretization of a linear convection-diffusion equation. Zbl 1312.65158
Deuring, Paul; Eymard, Robert; Mildner, Marcus
3
2015
Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
3
2015
Staggered scheme for the Exner-shallow water equations. Zbl 1391.76725
Gunawan, P. H.; Eymard, R.; Pudjaprasetya, S. R.
1
2015
Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. Zbl 1297.76159
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
25
2014
TP or not TP, that is the question. Zbl 1378.76118
Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R.
15
2014
On MAC schemes on triangular Delaunay meshes, their convergence and application to coupled flow problems. Zbl 1383.76353
Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander
5
2014
Study of a numerical scheme for miscible two-phase flow in porous media. Zbl 1355.76039
Eymard, Robert; Schleper, Veronika
3
2014
Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. Zbl 1297.49012
Bouchut, F.; Eymard, R.; Prignet, A.
2
2014
Uniform-in-time convergence of numerical schemes for Richards’ and Stefan’s models. Zbl 1298.65134
Droniou, Jérôme; Eymard, Robert; Guichard, Cindy
2
2014
High performance computing linear algorithms for two-phase flow in porous media. Zbl 1426.76360
Eymard, Robert; Guichard, Cindy; Masson, Roland
1
2014
Convection and total variation flow. Zbl 1302.65202
Bouchut, François; Doyen, David; Eymard, Robert
1
2014
Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136
Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele
55
2013
Grid orientation effect in coupled finite volume schemes. Zbl 1328.76046
Eymard, R.; Guichard, C.; Masson, R.
5
2013
Finite volume approximation of degenerate two-phase flow model with unlimited air mobility. Zbl 1364.76106
Andreianov, Boris; Eymard, Robert; Ghilani, Mustapha; Marhraoui, Nouzha
2
2013
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
53
2012
Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
10
2012
Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135
Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A.
8
2012
Approximation of nonlinear parabolic equations using a family of conformal and non-conformal schemes. Zbl 1264.65159
Eymard, Robert; Handlovičová, Angela; Mikula, Karol
1
2012
Convergence of a misanthrope process to the entropy solution of 1D problems. Zbl 1273.60093
Eymard, R.; Roussignol, M.; Tordeux, A.
1
2012
3D benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1246.76053
Eymard, Robert; Henry, Gérard; Herbin, Raphaèle; Hubert, Florence; Klöfkorn, Robert
27
2011
Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage. Zbl 1419.76449
Angelini, O.; Chavant, C.; Chénier, E.; Eymard, R.; Granet, S.
14
2011
Study of a finite volume scheme for the regularized mean curvature flow level set equation. Zbl 1241.65072
Eymard, Robert; Handlovičová, Angela; Mikula, Karol
7
2011
Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data. Zbl 1236.65117
Bouchut, F.; Eymard, R.; Prignet, A.
4
2011
Hybrid finite volume discretization of linear elasticity models on general meshes. Zbl 1246.76051
Di Pietro, Daniele A.; Eymard, Robert; Lemaire, Simon; Masson, Roland
4
2011
MAC schemes on triangular meshes. Zbl 1246.76125
Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander
4
2011
Gradient scheme approximations for diffusion problems. Zbl 1246.65205
Eymard, Robert; Herbin, Raphaèle
4
2011
Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118
Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed
3
2011
Gradient schemes for image processing. Zbl 1246.65163
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2
2011
Benchmark 3D: the VAG scheme. Zbl 1246.76084
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
2
2011
Importance and sensitivity analysis in dynamic reliability. Zbl 1217.90082
Eymard, Robert; Mercier, Sophie; Roussignol, Michel
1
2011
An extension of the MAC scheme to some unstructured meshes. Zbl 1246.76113
Chénier, Eric; Eymard, Robert; Herbin, Raphaèle
1
2011
Multiphase flow in porous media using the VAG scheme. Zbl 1246.76085
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
1
2011
Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144
Eymard, R.; Gallouët, T.; Herbin, R.
128
2010
A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142
Jérôme; Droniou; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
93
2010
A convergent finite element-finite volume scheme for the compressible Stokes problem. II: The isentropic case. Zbl 1197.35192
Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J. C.
20
2010
Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185
Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C.
19
2010
A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids. Zbl 1192.65117
Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin
13
2010
A finite volume scheme for diffusion problems on general meshes applying monotony constraints. Zbl 1261.65108
Angelini, O.; Chavant, C.; Chénier, E.; Eymard, R.
11
2010
Numerical approximation of a reaction-diffusion system with fast reversible reaction. Zbl 1206.35018
Eymard, Robert; Hilhorst, Danielle; Murakawa, Hideki; Olech, Michal
4
2010
Approximation of the biharmonic problem using piecewise linear finite elements. (Approximation d’un problème biharmonique par élément fini \(P1\).) Zbl 1205.65314
Eymard, Robert; Herbin, Raphaèle
2
2010
A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051
Agelas, Léo; Eymard, Robert; Herbin, Raphaèle
23
2009
Study of the mixed finite volume method for Stokes and Navier-Stokes equations. Zbl 1153.76044
Droniou, Jérôme; Eymard, Robert
14
2009
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138
Eymard, R.; Gallouët, T.; Herbin, R.
9
2009
A fast precipitation and dissolution reaction for a reaction-diffusion system arising in a porous medium. Zbl 1167.35396
Bouillard, N.; Eymard, R.; Henry, M.; Herbin, R.; Hilhorst, D.
4
2009
Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows. Zbl 1246.76087
Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude; Piar, Bruno
4
2009
A collocated finite volume scheme to solve free convection for general non-conforming grids. Zbl 1158.76028
Chénier, Eric; Eymard, Robert; Herbin, Raphaèle
2
2009
SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
11
2008
An implicit finite volume scheme for a scalar hyperbolic problem with measure data related to piecewise deterministic Markov processes. Zbl 1158.65008
Eymard, Robert; Mercier, Sophie; Prignet, Alain
7
2008
Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309
Eymard, R.; Gallouët, T.; Herbin, R.
3
2008
Finite volumes for complex applications. V. Proceedings of the 5th International Symposium, Aussois, June 2008. Zbl 1162.65302
Eymard, Robert; Hérard, Jean-Marc
2
2008
Use of the mixed finite volume method. Zbl 1374.76123
Chainais-Hillairet, C.; Droniou, J.; Eymard, R.
2
2008
Collocated finite volume schemes for the simulation of natural convective flows on unstructured meshes. Zbl 1133.76028
Chénier, Eric; Eymard, Robert; Herbin, Raphaèle; Touazi, Ouardia
1
2008
Simulation of natural convection with the collocated clustered finite volume scheme. Zbl 1237.76091
Touazi, O.; Chénier, E.; Eymard, R.
1
2008
A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
24
2007
Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2D or 3D meshes. Zbl 1173.76028
Eymard, R.; Herbin, R.; Latché, J. C.
24
2007
Existence of a solution for two phase flow in porous media: the case that the porosity depends on the pressure. Zbl 1110.35033
Daïm, F. Z.; Eymard, R.; Hilhorst, D.
11
2007
A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids. Zbl 1114.76047
Eymard, Robert; Herbin, Raphaèle
10
2007
Analysis tools for finite volume schemes. Zbl 1133.65062
Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude
10
2007
Diffusion with dissolution and precipitation in a porous medium: mathematical analysis and numerical approximation of a simplified model. Zbl 1130.76086
Bouillard, Nicolas; Eymard, Robert; Herbin, Raphaele; Montarnal, Philippe
7
2007
On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem. Zbl 1137.76062
Eymard, R.; Herbin, R.; Latché, J. C.; Piar, B.
5
2007
Finite volume schemes for nonlinear parabolic problems: another regularization method. Zbl 1134.35069
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaele
2
2007
A partial differential inequality in geological models. Zbl 1136.76047
Eymard, Robert; Gallouët, Thierry
2
2007
Mathematical and numerical study of a system of conservation laws. Zbl 1124.35005
Eymard, R.; Tillier, E.
1
2007
A mixed finite volume scheme for anisotropic diffusion problems on any grid. Zbl 1109.65099
Droniou, Jérôme; Eymard, Robert
74
2006
A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110
Eymard, R.; Gallouët, T.; Herbin, R.
52
2006
A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems. Zbl 1108.65099
Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin
45
2006
A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local Dirichlet problems. Zbl 1116.65101
Eymard, Robert; Fuhrmann, Jürgen; Gärtner, Klaus
20
2006
On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370
Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude
18
2006
Numerical approximation of a two-phase flow problem in a porous medium with discontinuous capillary forces. Zbl 1145.76046
Enchéry, Guillaume; Eymard, R.; Michel, A.
18
2006
A finite-volume scheme for dynamic reliability models. Zbl 1109.65011
Cocozza-Thivent, C.; Eymard, R.; Mercier, S.
7
2006
Characterization of the marginal distributions of Markov processes used in dynamic reliability. Zbl 1101.60068
Cocozza-Thivent, Christiane; Eymard, Robert; Mercier, Sophie; Roussignol, Michel
7
2006
Analytical and numerical study of a model of erosion and sedimentation. Zbl 1145.76047
Eymard, Robert; Gallouët, Thierry
4
2006
Finite volume methods for the valuation of American options. Zbl 1137.91427
Berton, Julien; Eymard, Robert
1
2006
Identification of a stratigraphic model with seismic constraints. Zbl 1112.86002
Blum, Jacques; Dobranszky, Gabriela; Eymard, Robert; Masson, Roland
1
2006
Convergence of a numerical scheme for stratigraphic modeling. Zbl 1096.35005
Eymard, R.; Gallouët, T.; Gervais, V.; Masson, R.
5
2005
A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle
12
2004
An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395
Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle
12
2004
Multi-lithology stratigraphic model under maximum erosion rate constraint. Zbl 1098.76618
Eymard, R.; Gallouët, T.; Granjeon, D.; Masson, R.; Tran, Q. H.
11
2004
A finite volume scheme for the transport of radionucleides in porous media. Zbl 1060.76074
Chénier, E.; Eymard, R.; Nicolas, X.
3
2004
Approximation of the marginal distributions of a semi-Markov process using a finite volume scheme. Zbl 1078.60075
Cocozza-Thivent, Christiane; Eymard, Robert
3
2004
A finite volume scheme on general meshes for the steady Navier-Stokes equations in two space dimensions. Zbl 1173.76361
Eymard, Robert; Herbin, Raphaèle
2
2004
Existence and uniqueness of a weak solution to a stratigraphic model. Zbl 1198.86020
Eymard, Robert; Gallouët, Thierry; Gervais, Véronique; Masson, Roland
1
2004
Combined nonconforming/mixed-hybrid finite element-finite volume scheme for degenerate parabolic problems. Zbl 1056.65078
Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin
1
2004
Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355
Eymard, Robert; Herbin, Raphaèle; Michel, Anthony
42
2003
H-convergence and numerical schemes for elliptic problems. Zbl 1049.35015
Eymard, Robert; Gallouët, Thierry
16
2003
A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions. Zbl 1084.76052
Eymard, Robert; Herbin, Raphaèle
3
2003
Limit boundary conditions for finite volume approximations of some physical problems. Zbl 1107.76361
Eymard, Robert; Gallouët, Thierry; Vovelle, Jullien
3
2003
Convergence of a finite-volume mixed finite-element method for an elliptic-hyperbolic system. Zbl 1040.76034
Droniou, J.; Eymard, R.; Hilhorst, D.; Zhou, X. D.
2
2003
...and 22 more Documents
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Cited by 1,200 Authors

55 Eymard, Robert
41 Droniou, Jérôme
41 Herbin, Raphaèle
33 Gallouët, Thierry
29 Cancès, Clément
29 Di Pietro, Daniele Antonio
25 Saad, Mazen
24 Vohralík, Martin
22 Bradji, Abdallah
21 Latché, Jean-Claude
21 Masson, Roland
19 Beirão da Veiga, Lourenço
19 Chainais-Hillairet, Claire
19 Manzini, Gianmarco
18 Yuan, Guangwei
17 Andreianov, Boris
17 Ern, Alexandre
17 Fuhrmann, Jürgen
16 Brenner, Konstantin
16 Hilhorst, Danielle
16 Pop, Iuliu Sorin
15 Brezzi, Franco
14 Wu, Jiming
14 Zou, Qingsong
12 Karlsen, Kenneth Hvistendahl
12 Linke, Alexander
11 Lipnikov, Konstantin N.
11 Mikula, Karol
11 Radu, Florin Adrian
11 Russo, Alessandro
11 Tchelepi, Hamdi A.
10 Bendahmane, Mostafa
10 Sepúlveda, Mauricio A.
10 Sheng, Zhiqiang
9 Luo, Zhendong
9 Ohlberger, Mario
9 Risebro, Nils Henrik
9 Zhang, Zhimin
8 Antonietti, Paola Francesca
8 Bessemoulin-Chatard, Marianne
8 Guichard, Cindy
8 Terekhov, Kirill M.
8 Vallet, Guy
7 Amaziane, Brahim
7 Gao, Zhiming
7 Krell, Stella
7 Le Potier, Christophe
7 Vovelle, Julien
6 Clain, Stéphane Louis
6 Handlovičová, Angela
6 Hérard, Jean-Marc
6 Jurak, Mladen
6 Murakawa, Hideki
6 Ruiz-Baier, Ricardo
6 Saad, Bilal M.
6 ten Thije Boonkkamp, Jan H. M.
6 Yang, Min
5 Bauzet, Caroline
5 Bloch-Mercier, Sophie
5 Bürger, Raimund
5 Castelletto, Nicola
5 Cheng, Hanz Martin C.
5 Chénier, Eric
5 Després, Bruno
5 Faille, Isabelle
5 Goatin, Paola
5 Hamon, François P.
5 Hermeline, François
5 Jüngel, Ansgar
5 Koren, Barry
5 Li, Yonghai
5 Marini, Luisa Donatella
5 Nabet, Flore
5 Quenjel, EL Houssaine
5 Rui, Hongxing
5 Shashkov, Mikhail J.
5 Tambue, Antoine
5 Vignal, Marie-Hélène
5 Xu, Yuesheng
5 Yousef, Soleiman
4 Agelas, Leo
4 Anthonissen, Martijn Johannes Hermanus
4 Antontsev, Stanislav Nikolaevich
4 Benzakour Amine, M.
4 Bertolazzi, Enrico
4 Bonelle, Jérôme
4 Botti, Lorenzo
4 Boyer, Franck
4 Calgaro, Caterina
4 Chamoun, Georges
4 Coudière, Yves
4 El Ossmani, Mustapha
4 Filbet, Francis
4 Gagneux, Gérard
4 Gaspar, Francisco José
4 Glitzky, Annegret
4 Gyrya, Vitaliy T.
4 Helmig, Rainer
4 Herda, Maxime
4 Ibrahim, Moustafa
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Cited in 151 Serials

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53 Numerische Mathematik
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38 Mathematics of Computation
35 Journal of Scientific Computing
32 Computers & Mathematics with Applications
32 SIAM Journal on Numerical Analysis
31 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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22 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
20 Computers and Fluids
18 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
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10 Advances in Computational Mathematics
9 Nonlinear Analysis. Real World Applications
8 Calcolo
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8 Journal of Numerical Mathematics
8 Discrete and Continuous Dynamical Systems. Series S
7 International Journal for Numerical Methods in Fluids
7 Computational Methods in Applied Mathematics
5 Archive for Rational Mechanics and Analysis
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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5 Discrete and Continuous Dynamical Systems. Series B
5 SMAI Journal of Computational Mathematics
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Applications of Mathematics
4 SIAM Journal on Mathematical Analysis
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
4 Journal of Hyperbolic Differential Equations
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2 Communications in Nonlinear Science and Numerical Simulation
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2 Inverse Problems in Science and Engineering
2 Science China. Mathematics
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1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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