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RH

Raphaele Herbin

35
Documents

Présentation

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

Publications

964008
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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
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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

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
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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
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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
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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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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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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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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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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
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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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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
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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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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 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
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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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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
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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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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
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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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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
Communication dans un congrès hal-01483467v1
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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
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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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MESURE, INTEGRATION, PROBABILITES

Thierry Gallouët , Raphaele Herbin
Ellipses Edition Marketing, 678 p., 2013, 978-2-7298-77538
Ouvrages hal-01283567v2
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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, 2021, SEMA SIMAI Springer Series
Chapitre d'ouvrage hal-01553699v2
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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