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Raphaèle Herbin
Raphaèle Herbin
Professor of applied mathematics, Aix-Marseille Université
Verified email at univ-amu.fr - Homepage
Title
Cited by
Cited by
Year
Finite volume methods
R Eymard, T Gallouët, R Herbin
Handbook of numerical analysis 7, 713-1018, 2000
35092000
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
5851996
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
4822010
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: FVCA 6 …, 2011
3962011
Finite volume methods: foundation and analysis
T Barth, R Herbin, M Ohlberger
Encyclopedia of computational mechanics second edition, 1-60, 2018
3792018
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
3062010
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
2392002
The gradient discretisation method
J Droniou, R Eymard, T Gallouët, C Guichard, R Herbin
Springer, 2018
2082018
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
1941998
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
1902012
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
1781995
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
1622013
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
1602006
Mathematical study of a petroleum-engineering scheme
R Eymard, R Herbin, A Michel
ESAIM: Mathematical Modelling and Numerical Analysis 37 (6), 937-972, 2003
1562003
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
1172000
Existence and Uniqueness of the Entropy Solution to a Nonlinear Hyperbolic Equation.
R Eymard, T Gallouët, R Herbin
Chinese Science Abstracts Series A 3 (14), 6, 1995
1111995
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
1092008
On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations
R Herbin, W Kheriji, JC Latché
ESAIM: Mathematical Modelling and Numerical Analysis 48 (6), 1807-1857, 2014
1052014
Convergence of finite volume schemes for semilinear convection diffusion equations
R Eymard, T Gallouët, R Herbin
Numerische Mathematik 82, 91-116, 1999
1051999
A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis
R Eymard, T Gallouët, R Herbin
Comptes rendus. Mathématique 344 (6), 403-406, 2007
1022007
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