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Herbin, Raphaèle

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Author ID: herbin.raphaele Recent zbMATH articles by "Herbin, Raphaèle"
Published as: Herbin, R.; Herbin, Raphaele; Herbin, Raphaelle; Herbin, Raphaèle; Herbin, Raphaéle
External Links: MGP · Wikidata · GND
Documents Indexed: 132 Publications since 1986, including 5 Books
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Serials

9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 IMA Journal of Numerical Analysis
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 SIAM Journal on Numerical Analysis
4 Mathematics of Computation
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
3 Calcolo
3 Numerische Mathematik
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Computers and Fluids
2 International Journal for Numerical Methods in Fluids
2 Numerical Methods for Partial Differential Equations
2 Acta Mathematica Universitatis Comenianae. New Series
2 Advances in Differential Equations
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Journal of Numerical Mathematics
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Computational Physics
1 Applied Mathematics and Computation
1 Czechoslovak Mathematical Journal
1 Mechanics Research Communications
1 Chinese Annals of Mathematics. Series B
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 Differential and Integral Equations
1 Applications of Mathematics
1 SIAM Journal on Scientific Computing
1 Computational and Applied Mathematics
1 Mathematical Engineering in Industry
1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b
1 Computing and Visualization in Science
1 Computational Geosciences
1 Nonlinear Analysis. Real World Applications
1 Foundations of Computational Mathematics
1 Computational Methods in Applied Mathematics
1 Mathématiques & Applications (Berlin)
1 Springer Proceedings in Mathematics
1 S\(\vec{\text{e}}\)MA Journal
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Références Sciences
1 SMAI Journal of Computational Mathematics

Publications by Year

Citations contained in zbMATH

107 Publications have been cited 1,906 times in 969 Documents Cited by Year
Finite volume methods. Zbl 0981.65095
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
402
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
88
2010
Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1422.65314
Herbin, Raphaèle; Hubert, Florence
87
2008
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
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.
53
2006
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
51
2012
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
40
2003
An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085
Herbin, Raphaèle
39
1995
Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122
Eymard, R.; Gallouët, T.; Herbin, R.
32
2001
The gradient discretisation method. Zbl 1435.65005
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle
31
2018
An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433
Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude
30
2008
Convergence of a finite volume scheme for a nonlinear hyperbolic equation. Zbl 0843.65068
Eymard, R.; Gallouët, T.; Herbin, R.
30
1995
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
29
2011
Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations. Zbl 0990.65122
Coudière, Yves; Gallouët, Thierry; Herbin, Raphaèle
25
2001
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 and uniqueness of the entropy solution to a nonlinear hyperbolic equation. Zbl 0830.35077
Eymard, R.; Gallouët, T.; Herbin, R.
23
1995
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
22
2016
Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. Zbl 1297.76159
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
22
2014
A convergent finite element-finite volume scheme for the compressible Stokes problem. I: The isothermal case. Zbl 1223.76041
Gallouët, T.; Herbin, R.; Latché, J.-C.
22
2009
A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051
Agelas, Léo; Eymard, Robert; Herbin, Raphaèle
22
2009
A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
22
2007
Existence of a solution to a coupled elliptic system. Zbl 0791.35043
Gallouët, T.; Herbin, R.
21
1994
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.
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
Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
18
1999
Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185
Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C.
17
2010
Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
16
2012
A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127
Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle
16
2003
Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh. Zbl 0801.65089
Champier, S.; Gallouët, T.; Herbin, R.
16
1993
TP or not TP, that is the question. Zbl 1378.76118
Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R.
15
2014
Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
14
2002
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
On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations. Zbl 1304.35519
Herbin, R.; Kheriji, W.; Latché, J.-C.
13
2014
A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle
12
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
An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395
Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle
11
2004
Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083
Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin
10
2016
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
Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075
Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D.
10
2000
Explicit staggered schemes for the compressible Euler equations. Zbl 1329.76206
Herbin, R.; Latché, J.-C.; Nguyen, T. T.
9
2013
W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109
Gallouët, T.; Herbin, R.; Latché, J.-C.
9
2012
Analysis tools for finite volume schemes. Zbl 1133.65062
Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude
9
2007
Staggered schemes for all speed flows. Zbl 1357.76038
Herbin, Raphaèle; Kheriji, Walid; Latche, Jean-Claude
8
2012
A discretization of the phase mass balance in fractional step algorithms for the drift-flux model. Zbl 1428.76118
Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude
8
2011
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138
Eymard, R.; Gallouët, T.; Herbin, R.
8
2009
Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods. Zbl 1144.78024
Bradji, Abdallah; Herbin, Raphaèle
8
2008
The Lions domain decomposition algorithm on non-matching cell-centred finite volume meshes. Zbl 1065.65137
Cautrès, René; Herbin, Raphaèle; Hubert, Florence
8
2004
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 approximation of elliptic problems with irregular data. Zbl 1052.65552
Gallouët, Thierry; Herbin, Raphaèle
8
1999
Pressure correction staggered schemes for barotropic one-phase and two-phase flows. Zbl 1391.76778
Kheriji, Walid; Herbin, Raphaèle; Latché, Jean-Claude
7
2013
Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135
Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A.
7
2012
Staggered discretizations, pressure correction schemes and all speed barotropic flows. Zbl 1246.76094
Gastaldo, L.; Herbin, R.; Kheriji, W.; Lapuerta, C.; Latché, J.-C.
7
2011
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 unconditionally stable staggered pressure correction scheme for the compressible Navier-Stokes equations. Zbl 1416.76149
Grapsas, Dionysis; Herbin, Raphaèle; Kheriji, Walid; Latché, Jean-Claude
6
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
6
2015
A finite volume scheme on general meshes for the steady Navier-Stokes equations in two space dimensions. Zbl 1173.76361
Eymard, Robert; Herbin, Raphaèle
6
2004
Convergence of finite volume methods on general meshes for non smooth solution of elliptic problems with cracks. Zbl 1052.65557
Angot, Philippe; Gallouët, Thierry; Herbin, Raphaèle
6
1999
Finite volume schemes for elliptic and elliptic-hyperbolic problems on triangular meshes. Zbl 0897.76072
Herbin, Raphaèle; Labergerie, Olivier
6
1997
Convergence of the Marker-and-Cell scheme for the incompressible Navier-Stokes equations on non-uniform grids. Zbl 06849393
Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K.
5
2018
Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. Zbl 1390.35231
Gallouët, T.; Herbin, R.; Latché, J.-C.; Maltese, D.
5
2018
Convergence of the MAC scheme for the steady-state incompressible Navier-Stokes equations on non-uniform grids. Zbl 1304.76038
Herbin, R.; Latché, J.-C.; Mallem, K.
5
2014
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 linear finite elements for diffusion equations with measure data. Zbl 1038.65110
Gallouët, Thierry; Herbin, Raphaèle
5
2004
A monotonic method for the numerical solution of some free boundary value problems. Zbl 1040.65055
Herbin, Raphaèle
5
2003
Approximation of obstacle problems by continuation methods. Zbl 0668.65048
Conrad, Francis; Herbin, Raphaele; Mittelmann, Hans D.
5
1988
Gradient scheme approximations for diffusion problems. Zbl 1246.65205
Eymard, Robert; Herbin, Raphaèle
4
2011
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
Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309
Eymard, R.; Gallouët, T.; Herbin, R.
4
2008
Combined triangular FV-triangular FE method for nonlinear convection-diffusion problems. Zbl 1128.65079
Bejček, Michal; Feistauer, Miloslav; Gallouët, Thierry; Hájek, Jaroslav; Herbin, Raphaelle
4
2007
Finite volume schemes for nonlinear parabolic problems: another regularization method. Zbl 1134.35069
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaele
4
2007
A posteriori error estimate for finite volume approximations of convection diffusion problems. Zbl 1060.65103
Herbin, Raphaèle; Ohlberger, Mario
4
2002
Finite volume approximation of a class of variational inequalities. Zbl 0990.65069
Herbin, Raphaèle; Marchand, Emmanuelle
4
2001
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
Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations. Zbl 1405.35149
Herbin, Raphaèle; Latché, Jean-Claude; Nguyen, Trung Tan
3
2018
An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model. Zbl 1258.76112
Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude
3
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.
3
2009
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
A uniqueness result for measure-valued solutions of nonlinear hyperbolic equations. Zbl 0806.35114
Gallouët, Thierry; Herbin, Raphaèle
3
1993
On the weak consistency of finite volumes schemes for conservation laws on general meshes. Zbl 1434.65149
Gallouët, T.; Herbin, R.; Latché, J.-C.
2
2019
Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2
2015
Gradient schemes for image processing. Zbl 1246.65163
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2
2011
Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Zbl 1220.76004
Fořt, Jaroslav (ed.); Fürst, Jiří (ed.); Halama, Jan (ed.); Herbin, Raphaèle (ed.); Hubert, Florence (ed.)
2
2011
Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118
Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed
2
2011
Approximation of the biharmonic problem using piecewise linear finite elements. Zbl 1205.65314
Eymard, Robert; Herbin, Raphaèle
2
2010
Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24–28, 2002. Zbl 1049.65002
Herbin, Raphaéle (ed.); Kröner, Dietmar (ed.)
2
2002
Fluid-active structure interaction: Arterial flow. Zbl 0873.76099
Teppaz, Pierre; Ohayon, Jacques; Herbin, Raphaèle
2
1997
A MUSCL-type segregated – explicit staggered scheme for the Euler equations. Zbl 1410.76226
Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude; Therme, Nicolas
1
2018
Analysis of a fractional-step scheme for the \(\mathbf P_1\) radiative diffusion model. Zbl 1350.65094
Gallouët, T.; Herbin, R.; Larcher, A.; Latché, J.-C.
1
2016
A formally second-order cell centred scheme for convection-diffusion equations on general grids. Zbl 1430.76374
Piar, L.; Babik, F.; Herbin, R.; Latché, Jean-Claude
1
2013
Discontinuous Galerkin discretization and \(hp\)-refinement for the resolution of the neutron transport equation. Zbl 1267.74119
Fournier, D.; Herbin, R.; Le Tellier, R.
1
2013
Measure, integration, probability. Zbl 1273.28001
Gallouët, Thierry; Herbin, Raphaèle
1
2013
Benchmark 3D: the VAG scheme. Zbl 1246.76084
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
1
2011
Discretization of the viscous dissipation term with the MAC scheme. Zbl 1246.76063
Babik, F.; Herbin, R.; Kheriji, W.; Latché, J.-C.
1
2011
Playing with Burgers’s equation. Zbl 1246.76093
Gallouët, T.; Herbin, R.; Latché, J.-C.; Nguyen, T. T.
1
2011
Multiphase flow in porous media using the VAG scheme. Zbl 1246.76085
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
1
2011
An extension of the MAC scheme to some unstructured meshes. Zbl 1246.76113
Chénier, Eric; Eymard, Robert; Herbin, Raphaèle
1
2011
A collocated finite volume scheme to solve free convection for general non-conforming grids. Zbl 1158.76028
Chénier, Eric; Eymard, Robert; Herbin, Raphaèle
1
2009
On the weak consistency of finite volumes schemes for conservation laws on general meshes. Zbl 1434.65149
Gallouët, T.; Herbin, R.; Latché, J.-C.
2
2019
The gradient discretisation method. Zbl 1435.65005
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle
31
2018
Convergence of the Marker-and-Cell scheme for the incompressible Navier-Stokes equations on non-uniform grids. Zbl 06849393
Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K.
5
2018
Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. Zbl 1390.35231
Gallouët, T.; Herbin, R.; Latché, J.-C.; Maltese, D.
5
2018
Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations. Zbl 1405.35149
Herbin, Raphaèle; Latché, Jean-Claude; Nguyen, Trung Tan
3
2018
A MUSCL-type segregated – explicit staggered scheme for the Euler equations. Zbl 1410.76226
Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude; Therme, Nicolas
1
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
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
22
2016
Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083
Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin
10
2016
An unconditionally stable staggered pressure correction scheme for the compressible Navier-Stokes equations. Zbl 1416.76149
Grapsas, Dionysis; Herbin, Raphaèle; Kheriji, Walid; Latché, Jean-Claude
6
2016
Analysis of a fractional-step scheme for the \(\mathbf P_1\) radiative diffusion model. Zbl 1350.65094
Gallouët, T.; Herbin, R.; Larcher, A.; Latché, J.-C.
1
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
6
2015
Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2
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
22
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 some implicit and semi-implicit staggered schemes for the shallow water and Euler equations. Zbl 1304.35519
Herbin, R.; Kheriji, W.; Latché, J.-C.
13
2014
Convergence of the MAC scheme for the steady-state incompressible Navier-Stokes equations on non-uniform grids. Zbl 1304.76038
Herbin, R.; Latché, J.-C.; Mallem, K.
5
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
Explicit staggered schemes for the compressible Euler equations. Zbl 1329.76206
Herbin, R.; Latché, J.-C.; Nguyen, T. T.
9
2013
Pressure correction staggered schemes for barotropic one-phase and two-phase flows. Zbl 1391.76778
Kheriji, Walid; Herbin, Raphaèle; Latché, Jean-Claude
7
2013
A formally second-order cell centred scheme for convection-diffusion equations on general grids. Zbl 1430.76374
Piar, L.; Babik, F.; Herbin, R.; Latché, Jean-Claude
1
2013
Discontinuous Galerkin discretization and \(hp\)-refinement for the resolution of the neutron transport equation. Zbl 1267.74119
Fournier, D.; Herbin, R.; Le Tellier, R.
1
2013
Measure, integration, probability. Zbl 1273.28001
Gallouët, Thierry; Herbin, Raphaèle
1
2013
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
51
2012
Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
16
2012
W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109
Gallouët, T.; Herbin, R.; Latché, J.-C.
9
2012
Staggered schemes for all speed flows. Zbl 1357.76038
Herbin, Raphaèle; Kheriji, Walid; Latche, Jean-Claude
8
2012
Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135
Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A.
7
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
29
2011
A discretization of the phase mass balance in fractional step algorithms for the drift-flux model. Zbl 1428.76118
Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude
8
2011
Staggered discretizations, pressure correction schemes and all speed barotropic flows. Zbl 1246.76094
Gastaldo, L.; Herbin, R.; Kheriji, W.; Lapuerta, C.; Latché, J.-C.
7
2011
Gradient scheme approximations for diffusion problems. Zbl 1246.65205
Eymard, Robert; Herbin, Raphaèle
4
2011
Gradient schemes for image processing. Zbl 1246.65163
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2
2011
Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Zbl 1220.76004
Fořt, Jaroslav (ed.); Fürst, Jiří (ed.); Halama, Jan (ed.); Herbin, Raphaèle (ed.); Hubert, Florence (ed.)
2
2011
Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118
Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed
2
2011
Benchmark 3D: the VAG scheme. Zbl 1246.76084
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
1
2011
Discretization of the viscous dissipation term with the MAC scheme. Zbl 1246.76063
Babik, F.; Herbin, R.; Kheriji, W.; Latché, J.-C.
1
2011
Playing with Burgers’s equation. Zbl 1246.76093
Gallouët, T.; Herbin, R.; Latché, J.-C.; Nguyen, T. T.
1
2011
Multiphase flow in porous media using the VAG scheme. Zbl 1246.76085
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
1
2011
An extension of the MAC scheme to some unstructured meshes. Zbl 1246.76113
Chénier, Eric; Eymard, Robert; Herbin, Raphaèle
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
88
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.
19
2010
Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185
Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C.
17
2010
An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model. Zbl 1258.76112
Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude
3
2010
Approximation of the biharmonic problem using piecewise linear finite elements. Zbl 1205.65314
Eymard, Robert; Herbin, Raphaèle
2
2010
A convergent finite element-finite volume scheme for the compressible Stokes problem. I: The isothermal case. Zbl 1223.76041
Gallouët, T.; Herbin, R.; Latché, J.-C.
22
2009
A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051
Agelas, Léo; Eymard, Robert; Herbin, Raphaèle
22
2009
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138
Eymard, R.; Gallouët, T.; Herbin, R.
8
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 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.
3
2009
A collocated finite volume scheme to solve free convection for general non-conforming grids. Zbl 1158.76028
Chénier, Eric; Eymard, Robert; Herbin, Raphaèle
1
2009
Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1422.65314
Herbin, Raphaèle; Hubert, Florence
87
2008
An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433
Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude
30
2008
SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
11
2008
Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods. Zbl 1144.78024
Bradji, Abdallah; Herbin, Raphaèle
8
2008
Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309
Eymard, R.; Gallouët, T.; Herbin, R.
4
2008
A pressure correction scheme for the homogeneous two-phase flow model with two barotropic phases. Zbl 1374.76144
Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude
1
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
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 new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
22
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
9
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
Combined triangular FV-triangular FE method for nonlinear convection-diffusion problems. Zbl 1128.65079
Bejček, Michal; Feistauer, Miloslav; Gallouët, Thierry; Hájek, Jaroslav; Herbin, Raphaelle
4
2007
Finite volume schemes for nonlinear parabolic problems: another regularization method. Zbl 1134.35069
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaele
4
2007
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.
53
2006
On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370
Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude
18
2006
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
11
2004
The Lions domain decomposition algorithm on non-matching cell-centred finite volume meshes. Zbl 1065.65137
Cautrès, René; Herbin, Raphaèle; Hubert, Florence
8
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
6
2004
Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110
Gallouët, Thierry; Herbin, Raphaèle
5
2004
Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355
Eymard, Robert; Herbin, Raphaèle; Michel, Anthony
40
2003
A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127
Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle
16
2003
A monotonic method for the numerical solution of some free boundary value problems. Zbl 1040.65055
Herbin, Raphaèle
5
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
Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony
67
2002
Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
14
2002
A posteriori error estimate for finite volume approximations of convection diffusion problems. Zbl 1060.65103
Herbin, Raphaèle; Ohlberger, Mario
4
2002
Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24–28, 2002. Zbl 1049.65002
Herbin, Raphaéle (ed.); Kröner, Dietmar (ed.)
2
2002
Nonmatching finite volume grids and the nonoverlapping Schwarz algorithm. Zbl 1026.65099
Cautrés, R.; Herbin, R.; Hubert, F.
1
2002
Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122
Eymard, R.; Gallouët, T.; Herbin, R.
32
2001
Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations. Zbl 0990.65122
Coudière, Yves; Gallouët, Thierry; Herbin, Raphaèle
25
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 approximation of a class of variational inequalities. Zbl 0990.65069
Herbin, Raphaèle; Marchand, Emmanuelle
4
2001
Finite volume methods. Zbl 0981.65095
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
402
2000
Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075
Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D.
10
2000
Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
18
1999
Finite volume approximation of elliptic problems with irregular data. Zbl 1052.65552
Gallouët, Thierry; Herbin, Raphaèle
8
1999
Convergence of finite volume methods on general meshes for non smooth solution of elliptic problems with cracks. Zbl 1052.65557
Angot, Philippe; Gallouët, Thierry; Herbin, Raphaèle
6
1999
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
Error estimates on the approximate finite volume solution of convection diffusion equations with boundary conditions. Zbl 1052.65553
Gallouët, Thierry; Herbin, Raphaèle; Vignal, Marie Hélène
1
1999
A result of convergence and error estimate of an approximate gradient for elliptic problems. Zbl 1052.65551
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
1
1999
Existence of a solution to a coupled elliptic system with a Signorini condition. Zbl 0959.35047
Gerbi, Stéphane; Herbin, Raphaèle; Marchand, Emmanuelle
1
1999
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
Finite volume schemes for elliptic and elliptic-hyperbolic problems on triangular meshes. Zbl 0897.76072
Herbin, Raphaèle; Labergerie, Olivier
6
1997
Fluid-active structure interaction: Arterial flow. Zbl 0873.76099
Teppaz, Pierre; Ohayon, Jacques; Herbin, Raphaèle
2
1997
An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085
Herbin, Raphaèle
39
1995
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Cited by 1,209 Authors

54 Eymard, Robert
44 Herbin, Raphaèle
39 Droniou, Jérôme
38 Gallouët, Thierry
36 Di Pietro, Daniele Antonio
27 Cancès, Clément
26 Latché, Jean-Claude
22 Bradji, Abdallah
22 Manzini, Gianmarco
20 Vohralík, Martin
19 Saad, Mazen
18 Beirão da Veiga, Lourenço
18 Chainais-Hillairet, Claire
17 Andreianov, Boris
17 Fuhrmann, Jürgen
17 Masson, Roland
15 Brenner, Konstantin
15 Brezzi, Franco
15 Ern, Alexandre
15 Wu, Jiming
15 Yuan, Guangwei
15 Zou, Qingsong
14 Hilhorst, Danielle
13 Karlsen, Kenneth Hvistendahl
12 Russo, Alessandro
11 Bendahmane, Mostafa
11 Lipnikov, Konstantin N.
11 Marini, Luisa Donatella
11 Sepúlveda, Mauricio A.
10 Linke, Alexander
10 Risebro, Nils Henrik
9 Rui, Hongxing
8 Clain, Stéphane Louis
8 Guichard, Cindy
8 Le Potier, Christophe
8 Luo, Zhendong
8 Ohlberger, Mario
8 Pop, Iuliu Sorin
8 Zhang, Zhimin
7 Antonietti, Paola Francesca
7 Bessemoulin-Chatard, Marianne
7 Després, Bruno
7 Feireisl, Eduard
7 Gao, Zhiming
7 Hérard, Jean-Marc
7 Krell, Stella
7 Mikula, Karol
7 Sheng, Zhiqiang
7 Tchelepi, Hamdi A.
7 Vovelle, Julien
7 Yang, Min
6 Faille, Isabelle
6 Gaspar, Francisco José
6 Glitzky, Annegret
6 Goatin, Paola
6 Lukáčová-Medvid’ová, Mária
6 Murakawa, Hideki
6 Ruiz-Baier, Ricardo
6 Vignal, Marie-Hélène
5 Bauzet, Caroline
5 Bürger, Raimund
5 Chénier, Eric
5 Coudière, Yves
5 Goudon, Thierry
5 Hermeline, François
5 Ibrahim, Moustafa
5 Jüngel, Ansgar
5 Machado, Gaspar J.
5 Quenjel, EL Houssaine
5 Rodrigo, Carmen
5 Schwab, Christoph
5 Seguin, Nicolas
5 Shashkov, Mikhail J.
5 She, Bangwei
5 Tambue, Antoine
5 Terekhov, Kirill M.
5 Vila, Jean-Paul
5 Wang, Yihong
5 Xu, Yuesheng
5 Ye, Xiu
5 Yousef, Soleiman
4 Agelas, Leo
4 Amaziane, Brahim
4 Anthonissen, Martijn Johannes Hermanus
4 Benzakour Amine, M.
4 Bertolazzi, Enrico
4 Bonelle, Jérôme
4 Botti, Lorenzo
4 Botti, Michele
4 Bourdarias, Christian
4 Calgaro, Caterina
4 Chamoun, Georges
4 Chen, Shuangshuang
4 Cheng, Hanz Martin C.
4 Filbet, Francis
4 Formaggia, Luca
4 Gastaldo, Laura
4 Gerbi, Stéphane
4 Ghidaglia, Jean-Michel
4 Gyrya, Vitaliy T.
...and 1,109 more Authors
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Cited in 145 Serials

76 Journal of Computational Physics
54 Numerische Mathematik
53 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
41 Journal of Computational and Applied Mathematics
39 Mathematics of Computation
36 Applied Numerical Mathematics
35 Computers & Mathematics with Applications
35 SIAM Journal on Numerical Analysis
35 Comptes Rendus. Mathématique. Académie des Sciences, Paris
34 Journal of Scientific Computing
31 Computer Methods in Applied Mechanics and Engineering
31 Computational Geosciences
24 Numerical Methods for Partial Differential Equations
23 Computers and Fluids
22 Applied Mathematics and Computation
20 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
19 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
16 SIAM Journal on Scientific Computing
14 Journal of Mathematical Analysis and Applications
9 Journal of Differential Equations
9 Computational Methods in Applied Mathematics
8 Advances in Computational Mathematics
7 Calcolo
7 Nonlinear Analysis. Real World Applications
6 Archive for Rational Mechanics and Analysis
6 International Journal for Numerical Methods in Fluids
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 RAIRO. Modélisation Mathématique et Analyse Numérique
6 Mathematical and Computer Modelling
6 Applied Mathematical Modelling
5 BIT
5 Computational and Applied Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
5 Discrete and Continuous Dynamical Systems. Series B
5 Journal of Numerical Mathematics
5 SMAI Journal of Computational Mathematics
4 Mathematics and Computers in Simulation
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Foundations of Computational Mathematics
4 Journal of Hyperbolic Differential Equations
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
3 International Journal for Numerical Methods in Engineering
3 Journal of Functional Analysis
3 Numerical Functional Analysis and Optimization
3 Transactions of the American Mathematical Society
3 Computational Mechanics
3 SIAM Journal on Mathematical Analysis
3 Vietnam Journal of Mathematics
3 Multiscale Modeling & Simulation
3 Networks and Heterogeneous Media
3 GEM - International Journal on Geomathematics
2 Journal of Engineering Mathematics
2 Mathematical Methods in the Applied Sciences
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Computing
2 Kybernetika
2 Mathematische Nachrichten
2 Chinese Annals of Mathematics. Series B
2 Acta Applicandae Mathematicae
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2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Stochastic Processes and their Applications
2 Numerical Linear Algebra with Applications
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Computing and Visualization in Science
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Communications in Nonlinear Science and Numerical Simulation
2 Matematicheskoe Modelirovanie
2 Communications on Pure and Applied Analysis
2 Discrete and Continuous Dynamical Systems. Series S
2 Science China. Mathematics
2 Stochastic and Partial Differential Equations. Analysis and Computations
2 Journal of Mathematics
1 Computer Physics Communications
1 Journal of Mathematical Biology
1 Journal of the Mechanics and Physics of Solids
1 Physics Letters. A
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Journal of the Korean Mathematical Society
1 Quarterly of Applied Mathematics
1 SIAM Journal on Control and Optimization
1 Advances in Applied Mathematics
1 Computer Aided Geometric Design
1 Applied Mathematics Letters
1 Science in China. Series A
1 European Journal of Applied Mathematics
1 Journal of Elasticity
1 SIAM Journal on Applied Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Indagationes Mathematicae. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Potential Analysis
1 Calculus of Variations and Partial Differential Equations
1 Communications in Numerical Methods in Engineering
1 Russian Journal of Mathematical Physics
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