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RH

Raphaele Herbin

32
Documents

Présentation

Raphaèle Herbin professeur, Institut de Mathématiques de Marseille, I2M UMR 7373 Aix-Marseille Université.

Publications

robert-eymard
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Gradient schemes: generic tools for the numerical analysis of diffusion equations

Jérôme Droniou , Robert Eymard , Raphaele Herbin
ESAIM: Mathematical Modelling and Numerical Analysis, 2016, 50 (3), pp.749-781
Article dans une revue hal-01150517v2
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Applications of approximate gradient schemes for nonlinear parabolic equations

Robert Eymard , Angela Handlovicova , Raphaèle Herbin , Karol Mikula , O. Stašová
Applications of Mathematics, 2015, ⟨10.1007/s10492-015-0088-4⟩
Article dans une revue hal-00744767v1
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TP or not TP, that is the question

Robert Eymard , Thierry Gallouët , Cindy Guichard , Raphaèle Herbin , Roland Masson
Computational Geosciences, 2014, pp.18:285-296, 2014. ⟨10.1007/s10596-013-9392-9⟩
Article dans une revue hal-00801648v3
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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, 2014, 52 (1), pp.69-107. ⟨10.1007/s10092-014-0108-x⟩
Article dans une revue hal-00751556v1
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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
Article dans une revue hal-00751555v1
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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, 13, pp.2395-2432
Article dans une revue hal-00751551v2
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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, p. 560-585, July 2014. ⟨10.1002/zamm.201200206⟩
Article dans une revue hal-00740367v3
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Small-stencil 3D schemes for diffusive flows in porous media

Robert Eymard , Cindy Guichard , Raphaele Herbin
ESAIM: Mathematical Modelling and Numerical Analysis, 2012, 46, pp.265-290. ⟨10.1051/m2an/2011040⟩
Article dans une revue hal-00542667v2
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Vertex-centred discretization of multiphase compositional Darcy flows on general meshes

Robert Eymard , Cindy Guichard , Raphaele Herbin , Roland Masson
Computational Geosciences, 2012, 16 (4), pp.987 - 1005. ⟨10.1007/s10596-012-9299-x⟩
Article dans une revue hal-00706244v1
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Vertex centred Discretization of Two-Phase Darcy flows on General Meshes

Robert Eymard , Cindy Guichard , Raphaele Herbin , Roland Masson
ESAIM: Proceedings, 2012, 35, pp.59-78. ⟨10.1051/proc/201235004⟩
Article dans une revue hal-00706246v1
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Finite volume schemes for the biharmonic problem on general meshes

Robert Eymard , Thierry Gallouët , Raphaele Herbin , Alexander Linke
Mathematics of Computation, 2012, 81 (280), pp.2019-2048
Article dans une revue hal-00475419v2
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Approximation of the biharmonic problem using P1 finite elements

Robert Eymard , Raphaèle Herbin , Mohamed Rhoudaf
Journal of Numerical Mathematics, 2011, pp.Volume 19, Issue 1, Pages 1-26
Article dans une revue hal-00825673v1
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Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces

Robert Eymard , Thierry Gallouët , Raphaele Herbin
IMA Journal of Numerical Analysis, 2010, 30 (4), pp.1009-1043. ⟨10.1093/imanum/drn084⟩
Article dans une revue hal-00203269v5
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A convergent Finite Element-Finite Volume scheme for the compressible Stokes problem, Part II -- the isentropic case

Robert Eymard , Thierry Gallouët , Raphaele Herbin , Jean-Claude Latché
Math. Comp., 2010, 79 (270), pp.649--675. ⟨10.1090/S0025-5718-09-02310-2⟩
Article dans une revue hal-00359140v1
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A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods

Jerome Droniou , Robert Eymard , Thierry Gallouët , Raphaele Herbin
Mathematical Models and Methods in Applied Sciences, 2010, 20 (2), pp.265--295. ⟨10.1142/S0218202510004222⟩
Article dans une revue hal-00346077v1
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Convergence of the MAC scheme for the compressible Stokes equations

Robert Eymard , Thierry Gallouët , Raphaele Herbin , Jean-Claude Latché
SIAM Journal on Numerical Analysis, 2010, 48 (6), pp.2218-2246. ⟨10.1137/090779863⟩
Article dans une revue hal-00542676v1
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Approximation of the biharmonic problem using piecewise linear finite elements

Robert Eymard , Raphaèle Herbin
Comptes Rendus. Mathématique, 2010, 348 (23-24), pp.1283-1286. ⟨10.1016/j.crma.2010.11.002⟩
Article dans une revue hal-00693004v1
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Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids

Robert Eymard , Thierry Gallouët , Raphaele Herbin
Journal of Numerical Mathematics, 2009, 17 (3), pp.173--193. ⟨10.1515/JNUM.2009.010⟩
Article dans une revue hal-00351867v1
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A nine point finite volume scheme for the simulation of diffusion in heterogeneous media

Léo Agélas , Robert Eymard , Raphaele Herbin
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2009, 347 (11-12), pp.673-676
Article dans une revue hal-00350139v1
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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, 2009, 43 (5), pp.889-927. ⟨10.1051/m2an/2009031⟩
Article dans une revue hal-00530814v1
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A collocated finite volume scheme to solve free convection for general non-conforming grids

Eric Chénier , Robert Eymard , Raphaele Herbin
Journal of Computational Physics, 2009, 228 (6), pp.2296-2311. ⟨10.1016/j.jcp.2008.10.034⟩
Article dans une revue hal-00280822v2
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A fast precipitation and dissolution reaction for a reaction diffusion system arising in a porous medium

Nicolas Bouillard , Robert Eymard , Marie Henry , Raphaele Herbin , Danielle Hilhorst
ESAIM: Mathematical Modelling and Numerical Analysis, 2007, 41 (6), pp.975-1000. ⟨10.1051/m2an:2007047⟩
Article dans une revue hal-00136237v1
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On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem

Robert Eymard , Raphaele Herbin , Jean-Claude Latché , Bruno Piar
Calcolo, 2007, 44 (4), pp.219-234. ⟨10.1007/s10092-007-0138-8⟩
Article dans une revue hal-00136127v1
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Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2 or 3D meshes

Robert Eymard , Raphaele Herbin , Jean-Claude Latché
SIAM Journal on Numerical Analysis, 2007, 45 (1), pp.1-36. ⟨10.1137/040613081⟩
Article dans une revue hal-00004841v2
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On a stabilized colocated Finite Volume scheme for the Stokes problem

Robert Eymard , Raphaele Herbin , Jean-Claude Latché
ESAIM: Mathematical Modelling and Numerical Analysis, 2006, 40 (3), pp.501-527. ⟨10.1051/m2an:2006024⟩
Article dans une revue hal-00793601v1
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A cell-centred finite volume approximation for second order partial derivative operators with full matrix on unstructured meshes in any space dimension

Robert Eymard , Thierry Gallouët , Raphaèle Herbin
IMA Journal of Numerical Analysis, 2006, 26, pp.326-353
Article dans une revue hal-00004840v1
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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, vol. 339, issue 4, pp.299-302
Article dans une revue hal-00003328v1
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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, Lille, France
Communication dans un congrès hal-01442921v1
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The gradient discretisation method

Jérôme Droniou , Robert Eymard , Thierry Gallouët , Cindy Guichard , Raphaele Herbin
Springer International Publishing AG, 82, 2018, Mathématiques et Applications, M. Hoffmann et V. Perrier, 978-3-319-79042-8. ⟨10.1007/978-3-319-79042-8⟩
Ouvrages hal-01382358v8
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Non-conforming finite elements on polytopal meshes

Jerome Droniou , Robert Eymard , Thierry Gallouët , Raphaèle Herbin
Prof. Daniele Antonio Di Pietro, Prof. Luca Formaggia, Prof. Roland Masson. Polyhedral Methods in Geosciences, Springer, 2021, SEMA SIMAI Springer Series, 978-3-030-69362-6
Chapitre d'ouvrage hal-02898897v1
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Finite Volume Methods

Robert Eymard , Thierry Gallouët , Raphaèle Herbin
J. L. Lions; Philippe Ciarlet. Solution of Equation in ℝn (Part 3), Techniques of Scientific Computing (Part 3), 7, Elsevier, pp.713-1020, 2000, Handbook of Numerical Analysis, 9780444503503. ⟨10.1016/S1570-8659(00)07005-8⟩
Chapitre d'ouvrage hal-02100732v2