Raphaele Herbin

Présentation

Publications

Article dans une revue (61)

OPTIMAL ERROR BOUNDS FOR THE TWO POINT FLUX APPROXIMATION FINITE VOLUME SCHEME Robert Eymard,Thierry Gallouët,Raphaele Herbin Mathematics of Computation, 2025, 94 (355), pp.2271-2298 Article dans une revue hal-04586601v1
A centered limited finite volume approximation of the momentum convection operator for low-order nonconforming face-centered discretizations Aubin Brunel,Raphaele Herbin,Jean-Claude Latché International Journal for Numerical Methods in Fluids, 2024, 96 (6), pp.1104-1135. ⟨10.1002/fld.5276⟩ Article dans une revue hal-03922859v3
Convergence of the fully discrete incremental projection scheme for incompressible flows Thierry Gallouët,Raphaèle Herbin,Jean-Claude Latché,David Maltese Journal of Mathematical Fluid Mechanics, 2023, 25, pp.63. ⟨10.1007/s00021-023-00810-x⟩ Article dans une revue hal-03727713v2
Convergence of the MAC scheme for the incompressible Navier-Stokes equations with variable density and viscosity Léa Batteux,Thierry Gallouët,Raphaele Herbin,Jean-Claude Latche,Pascal Poullet Mathematics of Computation, 2023, 92 (342), pp.1595-1631. ⟨10.1090/mcom/3803⟩ Article dans une revue hal-03312831v2
A cell-centered pressure-correction scheme for the compressible Euler equations Raphaele Herbin,Jean-Claude Latché,Chady Zaza IMA Journal of Numerical Analysis, 2020, 40 (3), pp.1792-1837. ⟨10.1093/IMANUM/DRZ024⟩ Article dans une revue hal-01861734v2
ON THE WEAK CONSISTENCY OF FINITE VOLUMES SCHEMES FOR CONSERVATION LAWS ON GENERAL MESHES Thierry Gallouët,R. Herbin,J.-C. Latché SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2019, 76 (4), pp.581-594. ⟨10.1007/s40324-019-00194-x⟩ Article dans une revue hal-02055794v2
Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations Thierry Gallouët,Raphaele Herbin,Jean-Claude Latché,David Maltese Mathematics of Computation, 2018, 87, pp.1127-1163. ⟨10.1090/mcom/3260⟩ Article dans une revue hal-01342840v2
Convergence of the MAC scheme for the incompressible Navier-Stokes equations Thierry Gallouët,Raphaele Herbin,J.-C Latché,K. Mallem Foundations of Computational Mathematics, 2018, 18 (1), pp.249-289. ⟨10.1007/s10208-016-9338-4⟩ Article dans une revue hal-01189014v4
Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations Raphaele Herbin,J.-C Latché,Trung Tan Nguyen ESAIM: Mathematical Modelling and Numerical Analysis, 2018, 52 (3), pp.893-944. ⟨10.1051/m2an/2017055⟩ Article dans une revue hal-01436996v1
Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem Antonin Novotny,Thierry Gallouët,Raphaele Herbin,David Maltese Mathematics and Computers in Simulation, 2017, 137, pp.325-349 Article dans une revue hal-01810434v1
Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations Thierry Gallouët,Raphaèle Herbin,David Maltese,Antonin Novotny IMA Journal of Numerical Analysis, 2016, 36 (2), pp.543-592. ⟨10.1093/imanum/drv028⟩ Article dans une revue hal-01108579v1
Analysis of a fractional-step scheme for the P1 radiative diffusion model Raphaele Herbin,Thierry Gallouët,Jean-Claude Latché,Aurélien Larcher Computational & Applied Mathematics, 2016, 35 (1), pp.135-151. ⟨10.1007/s40314-014-0186-z⟩ Article dans une revue hal-00477086v2
An unconditionally stable staggered pressure correction scheme for the compressible Navier-Stokes equations D Grapsas,Raphaele Herbin,W Kheriji,J.-C Latché SMAI Journal of Computational Mathematics, 2016, 2, pp.51-97. ⟨10.5802/smai-jcm.9⟩ Article dans une revue hal-01115250v1
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
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
On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations Raphaele Herbin,Walid Kheriji,Jean-Claude Latché ESAIM: Mathematical Modelling and Numerical Analysis, 2014, 48 (6), pp.1807-1857. ⟨10.1051/m2an/2014021⟩ Article dans une revue hal-00805510v2
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
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
DISCONTINUOUS GALERKIN DISCRETIZATION AND HP-REFINEMENT FOR THE RESOLUTION OF THE NEUTRON TRANSPORT EQUATION Raphaele Herbin,Damien Fournier,Romain Le Tellier SIAM Journal on Scientific Computing, 2013, 35 (2), ⟨10.1137/110844581⟩ Article dans une revue hal-00781329v1
A formally second order cell centered scheme for convection-diffusion equations on unstructured non-conforming grids Libuse Piar,Fabrice Babik,Raphaele Herbin,Jean-Claude Latché International Journal for Numerical Methods in Fluids, 2013, 71 (7), pp.873:890. ⟨10.1002/fld.3688⟩ Article dans une revue istex hal-00556911v2
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
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
Pressure correction staggered schemes for barotropic one-phase and two-phase flows Walid Kheriji,Raphaele Herbin,Jean-Claude Latché Computers and Fluids, 2013, 88, pp.524--542. ⟨10.1016/j.compfluid.2013.09.022⟩ Article dans une revue hal-00875348v1
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
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
W1,q stability of the Fortin operator for the MAC scheme Thierry Gallouët,Raphaele Herbin,Jean-Claude Latché Calcolo, 2012, 49 (1), pp.63-71. ⟨10.1007/s10092-011-0045-x⟩ Article dans une revue hal-00673682v1
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
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
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
A discretization of phase mass balance in fractional step algorithms for the drift-flux model Laura Gastaldo,Raphaele Herbin,Jean-Claude Latché IMA Journal of Applied Mathematics, 2011, 31 (1), pp.116-146 Article dans une revue hal-00308838v1
STAGGERED SCHEMES FOR ALL SPEED FLOWS Raphaele Herbin,Walid Kheriji,Jean-Claude Latché ESAIM: Proceedings, 2011, Congrès National de Mathématiques Appliquées et Industrielles, 35, pp.122-150. ⟨10.1051/proc/201235008⟩ Article dans une revue hal-00636173v1
A note on the Entropy Solutions of the Hydrodynamic Model of Traffic Flow&quot; revisited Raphaele Herbin,Ludovic Leclercq Transportation Science, 2011, 45 (1), pp.138-142 Article dans une revue hal-00793622v1
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
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
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
An unconitionally stable finite-element/finite-volume pressure correction scheme for the drift-flux model Laura Gastaldo,Raphaele Herbin,Jean-Claude Latché ESAIM: Mathematical Modelling and Numerical Analysis, 2010, 44 (2), pp.251-287 Article dans une revue hal-00264659v1
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
An unconditionnally stable pressure correction scheme for compressible barotropic Navier-Stokes equations Thierry Gallouët,Laura Gastaldo,Jean-Claude Latché,Raphaele Herbin ESAIM: Mathematical Modelling and Numerical Analysis, 2010, 44 (2), pp.251--287. ⟨10.1051/m2an/2010002⟩ Article dans une revue hal-00179610v1
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
Kinetic energy control in the MAC discretization of compressible Navier-Stokes equations Raphaele Herbin,Jean-Claude Latché International Journal on Finite Volumes, 2010, 7 (2) Article dans une revue hal-00477079v1
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
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
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
A convergent Finite Element-Finite Volume scheme for the compressible Stokes problem Part I -- the isothermal case Thierry Gallouët,Raphaele Herbin,Jean-Claude Latché Mathematics of Computation, 2009, 78 (267), pp.1333-1352 Article dans une revue hal-00198724v2
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
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
Discretization of the coupled heat and electrical diffusion problems by the finite element and the finite volume methods Abdallah Bradji,Raphaele Herbin IMA Journal of Numerical Analysis, 2008, 28 (3), pp.469-495. ⟨10.1093/imanum/drm030⟩ Article dans une revue hal-00123247v1
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
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
A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids Robert Eymard,Raphaele Herbin Comptes Rendus. Mathématique, 2007, ⟨10.1016/j.crma.2007.03.025⟩ Article dans une revue hal-02505888v1
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
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
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
Axisymmetric finite volumes for the numerical simulation of bulk CO 2 transport and assimilation in a leaf Emily Gallouët,Raphaèle Herbin International Journal on Finite Volumes, 2005, 4 (2), pp.1-17 Article dans une revue hal-01112397v1
A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions Robert Eymard,Raphaèle Herbin International Journal on Finite Volumes, 2005, 2 (1), pp.1-18 Article dans une revue hal-01112401v1
A staggered finite volume scheme on general meshes for the generalized Stokes problem in two space dimensions AstaggeredschemefortheStokesequations Philippe Blanc,Robert Eymard,Raphaèle Herbin International Journal on Finite Volumes, 2005, 2 (1), pp.1-31 Article dans une revue hal-01112399v1
Convergence of linear finite elements for diffusion equations with measure data Thierry Gallouët,Raphaele Herbin Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2004, vol. 338, issue 1, pp 81-84 Article dans une revue hal-00003437v1
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
The Lions domain decomposition algorithm on non matching cell-centered finite volume meshes René Cautrès,Raphaèle Herbin,Florence Hubert IMA Journal of Numerical Analysis, 2004, 24, pp.465 - 490 Article dans une revue hal-00003306v1
A finite volume scheme for noncoercive elliptic equation with measure data Jerome Droniou,Thierry Gallouët,Raphaele Herbin SIAM Journal on Numerical Analysis, 2003, 41 (6), pp.1997-2031. ⟨10.1137/S0036142902405205⟩ Article dans une revue hal-00003440v1
Des mathématiciens découvrent les volumes finis Isabelle Faille,Thierry Gallouët,Raphaele Herbin Matapli, 1991, 28, pp.37-48 Article dans une revue hal-03140480v1

Communication dans un congrès (15)

A DECOUPLED STAGGERED SCHEME FOR THE SHALLOW WATER EQUATIONS Raphaèle Herbin,Jean-Claude Latché,Youssouf Nasseri,Nicolas Therme Fifteenth International Conference Zaragoza-Pau on Mathematics and its Applications, Sep 2018, Jaca, Spain Communication dans un congrès hal-02163454v2
A class of staggered schemes for the compressible Euler equations Raphaele Herbin,Jean-Claude Latché NMA, 2018, Borovets, Bulgaria. pp.15-26, ⟨10.1007/978-3-030-10692-8_2⟩ Communication dans un congrès hal-02019553v1
Low Mach number limit of a pressure correction MAC scheme for compressible barotropic flows Raphaele Herbin,J.-C. Latché,K Saleh Finite Volumes for Complexe Applicxations 8, Jun 2017, Lille, France. ⟨10.1007/978-3-319-57397-7_18⟩ Communication dans un congrès hal-01482309v2
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
Results with a Locally Refined MAC-Like Scheme - Benchmark Session Eric Chénier,Robert Eymard,Raphaele Herbin Finite Volumes for Complex Applications 8, Jun 2017, Lille, France. pp.2182 - 139 Communication dans un congrès hal-01546509v1
TWO MODELS FOR THE COMPUTATION OF LAMINAR FLAMES IN DUST CLOUDS Dionysios C Grapsas,Raphaèle Herbin,Jean-Claude Latché Finite volume for Complex Applications 8, Jun 2017, Lille, France. pp.285-293, ⟨10.1007/978-3-319-57394-6_31⟩ Communication dans un congrès hal-01483466v1
Convergence of the mac scheme for variable density flows Thierry Gallouët,Raphaele Herbin,Jean-Claude Latché,K. Mallem Finite Volume for Complex Applications 8, Jun 2017, Lille, France. pp.265-273, ⟨10.1007/978-3-319-57397-7_19⟩ Communication dans un congrès hal-01483467v1
Explicit staggered schemes for the compressible euler equations Raphaele Herbin,Jean-Claude Latché,Trung Tan Nguyen Applied Mathematics In Savoie - AMIS 2012: Multiphase flow in industrial and environmental engineering, C. Bourdarias & S. Gerbi, Jun 2012, Chambéry, France. pp.83-102, ⟨10.1051/proc/201340006⟩ Communication dans un congrès hal-05138997v1
Vertex-centred Discretization of Multiphase Compositional Darcy Flows on General Meshes Cindy Guichard,Robert Eymard,Raphaele Herbin,Roland Masson,P Samier ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Sep 2012, Biarritz, France. ⟨10.3997/2214-4609.20143221⟩ Communication dans un congrès hal-01238550v1
Multiphase Flow in Porous Media Using the VAG Scheme Robert Eymard,Cindy Guichard,Raphaele Herbin,Roland Masson Finite Volumes for Complex Applications VI Problems & Perspectives, Jun 2011, Prague, Czech Republic. pp.409-417, ⟨10.1007/978-3-642-20671-9_43⟩ Communication dans un congrès istex hal-01238557v1
Playing with Burgers's equation Thierry Gallouët,Raphaele Herbin,Jean-Claude Latché,Trung Tan Nguyen Finite Volumes for Complex Applications VI - Problems & Perspectives, Jun 2011, Prague, Czech Republic. pp.523-531, ⟨10.1007/978-3-642-20671-9_55⟩ Communication dans un congrès hal-00576248v1
Staggered discretizations, pressure correction schemes and all speed barotropic flows Laura Gastaldo,Raphaele Herbin,Walid Kheriji,Céline Lapuerta,Jean-Claude Latché FVC6, International Symposium, Jun 2011, Prague, Czech Republic. pp.839-855, ⟨10.1007/978-3-642-20671-9_86⟩ Communication dans un congrès hal-00576246v1
Discretization of the viscous dissipation term with the MAC scheme Fabrice Babik,Raphaele Herbin,Walid Kheriji,Jean-Claude Latché FVCA 6, Internal Symposium, Jun 2011, Prague, Czech Republic. pp.571-579, ⟨10.1007/978-3-642-20671-9_60⟩ Communication dans un congrès hal-00576268v1
Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids Raphaele Herbin,Florence Hubert Finite volumes for complex applications V, Jun 2008, France. pp.659--692 Communication dans un congrès hal-00429843v1
Development of numerical methods for the reactive transport of chemical species in a porous media : a nonlinear conjugate gradient method Nicolas Bouillard,Philippe Montarnal,Raphaele Herbin 2005, pp.16 Communication dans un congrès hal-00113144v1

Ouvrages (2)

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
MESURE, INTEGRATION, PROBABILITES Thierry Gallouët,Raphaele Herbin Ellipses Edition Marketing, 678 p., 2013, 978-2-7298-77538 Ouvrages hal-01283567v2

Chapitre d'ouvrage (5)

Consistent Internal Energy Based Schemes for the Compressible Euler Equations Thierry Gallouët,Raphaele Herbin,J. -C. Latché,N. Therme David Greiner, Maria Isabel Asensio, Rafael Montenegro. Numerical Simulation in Physics and Engineering: Trends and Applications, 1st ed. 2021 Lecture Notes of the XVIII ‘Jacques-Louis Lions' Spanish-French School, 24, Springer International Publishing, pp.119-154, 2021, SEMA SIMAI Springer Series, ⟨10.1007/978-3-030-62543-6_3⟩ Chapitre d'ouvrage hal-01553699v2
Non-conforming finite elements on polytopal meshes Jérôme Droniou,Robert Eymard,Thierry Gallouët,Raphaèle Herbin Prof. Daniele Antonio Di Pietro, Prof. Luca Formaggia, Prof. Roland Masson. Polyhedral Methods in Geosciences, 27, Springer International Publishing, pp.1-35, 2021, SEMA SIMAI Springer Series, 978-3-030-69362-6. ⟨10.1007/978-3-030-69363-3_1⟩ Chapitre d'ouvrage hal-02898897v1
A Neumann-Neumann method using a finite volume discretization René Cautrès,Thierry Gallouët,Stéphane Gerbi,Raphaele Herbin International Center for Numerical Methods in Engineering (CIMNE). Domain decomposition methods in science and engineering (Lyon, 2000), pp.207-214, 2002, 84-95999-07-2 Chapitre d'ouvrage hal-04716233v1
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
Parallel implementation of a multigrid method on a loosely coupled array of processors Stéphane Gerbi,Raphaele Herbin,Vijay Sonnad Society for Industrial and Applied Mathematics. Proceedings of the Third SIAM Conference on Parallel Processing for Scientific Computing, pp.157-161, 1987, 0898712289 Chapitre d'ouvrage hal-04716211v1

Pré-publication, Document de travail (5)

Implicit MAC scheme for compressible Navier-Stokes equations: Low Mach asymptotic error estimates Thierry Gallouët,Raphaele Herbin,David Maltese,Antonin Novotny 2017 Pré-publication, Document de travail hal-01462822v1
Implicit MAC scheme for compressible Navier-Stokes equations: Unconditional error estimates Thierry Gallouët,Raphaele Herbin,David Maltese,Antonin Novotny 2017 Pré-publication, Document de travail hal-01448698v1
Consistent explicit staggered schemes for compressible flows Part II: the Euler equation Raphaele Herbin,Jean-Claude Latché,Trung Tan Nguyen 2013 Pré-publication, Document de travail hal-00821070v1
Consistent explicit staggered schemes for compressible flows Part I: the barotropic Euler equations. Raphaele Herbin,Jean-Claude Latché,Trung Tan Nguyen 2013 Pré-publication, Document de travail hal-00821069v1
On colocated clustered finite volume schemes for incompressible flow problems Robert Eymard,Raphaele Herbin,Jean-Claude Latché,Bruno Piar 2007 Pré-publication, Document de travail hal-00136125v1

Rapport (1)

Consistent semi-implicit staggered schemes for compressible flows Part II: Euler equations. Raphaele Herbin,Walid Kheriji,Jean-Claude Latché [Intern report] Institut de Mathématiques de Marseille. 2012 Rapport hal-00805514v2

Cours (4)

Cours d'analyse numérique Raphaèle Herbin,Thierry Gallouët Licence. France. 2023 Cours cel-00092967v2
Solutions faibles des équations aux dérivées partielles Thierry Gallouët,Raphaele Herbin Master. France. 2015, pp.381 Cours cel-01196782v10
Mesure, intégration, probabilités Thierry Gallouët,Raphaèle Herbin 2013, pp.600 Cours cel-00637007v2
Analyse numérique des équations aux dérivées partielles Thierry Gallouët,Raphaèle Herbin Master. Marseille, France. 2011 Cours cel-00637008v4