Raphaèle Herbin
Raphaèle Herbin
Professor of applied mathematics, Aix-Marseille Université
Verified email at univ-amu.fr - Homepage
TitleCited byYear
Finite volume methods
R Eymard, T Gallouët, R Herbin
Handbook of numerical analysis 7, 713-1018, 2000
23132000
Three-dimensional numerical simulation for various geometries of solid oxide fuel cells
JR Ferguson, JM Fiard, R Herbin
Journal of Power Sources 58 (2), 109-122, 1996
4691996
Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
R Eymard, T Gallouët, R Herbin
IMA Journal of Numerical Analysis 30 (4), 1009-1043, 2010
3382010
A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods
J Droniou, R Eymard, T Gallouët, R Herbin
Mathematical Models and Methods in Applied Sciences 20 (02), 265-295, 2010
2432010
Finite volume methods: foundation and analysis
T Barth, R Herbin, M Ohlberger
Encyclopedia of Computational Mechanics Second Edition, 1-60, 2018
2382018
Benchmark on discretization schemes for anisotropic diffusion problems on general grids
R Herbin, F Hubert
2302008
Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
R Eymard, T Gallouït, R Herbin, A Michel
Numerische Mathematik 92 (1), 41-82, 2002
2062002
Finite volume methods: handbook of numerical analysis
R Eymard, T Gallouët, R Herbin
PG Ciarlet and JL Lions (Eds), 2000
1802000
An error estimate for a finite volume scheme for a diffusion–convection problem on a triangular mesh
R Herbin
Numerical Methods for Partial Differential Equations 11 (2), 165-173, 1995
1671995
Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes
R Eymard, T Gallouët, M Ghilani, R Herbin
IMA Journal of Numerical Analysis 18 (4), 563-594, 1998
1641998
Small-stencil 3D schemes for diffusive flows in porous media
R Eymard, C Guichard, R Herbin
ESAIM: Mathematical Modelling and Numerical Analysis 46 (2), 265-290, 2012
1432012
Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations
J Droniou, R Eymard, T Gallouet, R Herbin
Mathematical Models and Methods in Applied Sciences 23 (13), 2395-2432, 2013
1342013
A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension
R Eymard, T Gallouët, R Herbin
IMA Journal of Numerical Analysis 26 (2), 326-353, 2006
1332006
Mathematical study of a petroleum-engineering scheme
R Eymard, R Herbin, A Michel
ESAIM: Mathematical Modelling and Numerical Analysis 37 (6), 937-972, 2003
1162003
Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions
T Gallouët, R Herbin, MH Vignal
SIAM Journal on Numerical Analysis 37 (6), 1935-1972, 2000
992000
3D benchmark on discretization schemes for anisotropic diffusion problems on general grids
R Eymard, G Henry, R Herbin, F Hubert, R Klöfkorn, G Manzini
Finite Volumes for Complex Applications VI Problems & Perspectives, 895-930, 2011
972011
Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation
R Eymard, T Gallouët, R Herbin
Chinese Annals of Mathematics 16 (1), 1-14, 1995
941995
Finite volume approximation of elliptic problems and convergence of an approximate gradient
R Eymard, T Gallouët, R Herbin
Applied Numerical Mathematics 37 (1-2), 31-53, 2001
912001
A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis
R Eymard, T Gallouët, R Herbin
Comptes Rendus Mathematique 344 (6), 403-406, 2007
862007
An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations
T Gallouët, L Gastaldo, R Herbin, JC Latché
ESAIM: Mathematical Modelling and Numerical Analysis 42 (2), 303-331, 2008
842008
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