Nombre de documents

75

CV Raphaèle Herbin


Article dans une revue49 documents

  • Antonin Novotny, Thierry Gallouët, Raphaele Herbin, David Maltese. Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem. Mathematics and Computers in Simulation, Elsevier, 2017, 137, pp.325-349. 〈hal-01810434〉
  • Jérôme Droniou, Robert Eymard, Raphaele Herbin. Gradient schemes: generic tools for the numerical analysis of diffusion equations. Modelisation Mathématique et Analyse Numérique, EDP sciences SMAI, 2016, 50 (3), pp.749-781. 〈hal-01150517v2〉
  • Raphaele Herbin, Thierry Gallouët, Jean-Claude Latché, Aurélien Larcher. Analysis of a fractional-step scheme for the P1 radiative diffusion model. Computational and Applied Mathematics, Springer Verlag, 2016, 35 (1), pp.135-151. 〈http://link.springer.com/article/10.1007/s40314-014-0186-z〉. 〈10.1007/s40314-014-0186-z〉. 〈hal-00477086v2〉
  • Thierry Gallouët, Raphaele Herbin, J.-C Latché, K. Mallem. Convergence of the MAC scheme for the incompressible Navier-Stokes equations. Foundations of Computational Mathematics, Springer Verlag, 2016, pp.1-41. 〈10.1007/s10208-016-9338-4〉. 〈hal-01189014v4〉
  • Thierry Gallouët, Raphaèle Herbin, David Maltese, Antonin Novotny. Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2016, 36 (2), pp.543-592. 〈10.1093/imanum/drv028 〉. 〈hal-01108579〉
  • Robert Eymard, Angela Handlovicova, Raphaèle Herbin, Karol Mikula, O. Stašová. Applications of approximate gradient schemes for nonlinear parabolic equations. Applications of Mathematics, Akademie věd České republiky, Matematický ústav, 2015, 〈10.1007/s10492-015-0088-4〉. 〈hal-00744767〉
  • Eric Chénier, Robert Eymard, Thierry Gallouët, Raphaele Herbin. An extension of the MAC scheme to locally refined meshes : convergence analysis for the full tensor time-dependent Navier-Stokes equations. Calcolo, Springer Verlag, 2014, 52 (1), pp.69-107. 〈10.1007/s10092-014-0108-x〉. 〈hal-00751556〉
  • Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin, Roland Masson. TP or not TP, that is the question. Computational Geosciences, Springer Verlag, 2014, pp.18:285-296, 2014. 〈10.1007/s10596-013-9392-9〉. 〈hal-00801648v3〉
  • Raphaele Herbin, Walid Kheriji, Jean-Claude Latché. On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2014, 48 (6), pp.1807-1857. 〈10.1051/m2an/2014021〉. 〈hal-00805510v2〉
  • Robert Eymard, Pierre Féron, Thierry Gallouët, Raphaèle Herbin, Cindy Guichard. Gradient schemes for the Stefan problem. International Journal on Finite Volumes, Institut de Mathématiques de Marseille, AMU, 2013, Volume 10 special. 〈hal-00751555〉
  • Walid Kheriji, Raphaele Herbin, Jean-Claude Latché. Pressure correction staggered schemes for barotropic one-phase and two-phase flows. Computers and Fluids, Elsevier, 2013, 88, pp.524--542. 〈10.1016/j.compfluid.2013.09.022〉. 〈hal-00875348〉
  • Libuse Piar, Fabrice Babik, Raphaele Herbin, Jean-Claude Latché. A formally second order cell centered scheme for convection-diffusion equations on unstructured non-conforming grids. International Journal for Numerical Methods in Fluids, Wiley, 2013, 71 (7), pp.873:890. 〈10.1002/fld.3688〉. 〈hal-00556911v2〉
  • Robert Eymard, Cindy Guichard, Raphaèle Herbin, Roland Masson. Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Wiley-VCH Verlag, 2013, Volume 94, Issue 7-8, p. 560-585, July 2014. 〈10.1002/zamm.201200206〉. 〈hal-00740367v3〉
  • Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin. Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2013, pp.23(13), 2395-2432. 〈hal-00751551v2〉
  • Raphaele Herbin, Damien Fournier, Romain Le Tellier. DISCONTINUOUS GALERKIN DISCRETIZATION AND HP-REFINEMENT FOR THE RESOLUTION OF THE NEUTRON TRANSPORT EQUATION. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2013, 35 (2), 〈10.1137/110844581〉. 〈hal-00781329〉
  • Thierry Gallouët, Raphaele Herbin, Jean-Claude Latché. W1,q stability of the Fortin operator for the MAC scheme. Calcolo, Springer Verlag, 2012, 49 (1), pp.63-71. 〈10.1007/s10092-011-0045-x〉. 〈hal-00673682〉
  • Robert Eymard, Cindy Guichard, Raphaele Herbin, Roland Masson. Vertex-centred discretization of multiphase compositional Darcy flows on general meshes. Computational Geosciences, Springer Verlag, 2012, 16 (4), pp.987 - 1005. 〈http://link.springer.com/article/10.1007/s10596-012-9299-x〉. 〈10.1007/s10596-012-9299-x〉. 〈hal-00706244〉
  • Robert Eymard, Cindy Guichard, Raphaele Herbin, Roland Masson. Vertex centred Discretization of Two-Phase Darcy flows on General Meshes. ESAIM: Proceedings, EDP Sciences, 2012, 35, pp.59-78. 〈10.1051/proc/201235004〉. 〈hal-00706246〉
  • Robert Eymard, Thierry Gallouët, Raphaele Herbin, Alexander Linke. Finite volume schemes for the biharmonic problem on general meshes. Mathematics of Computation, American Mathematical Society, 2012, 81 (280), pp.2019-2048. 〈hal-00475419v2〉
  • Robert Eymard, Cindy Guichard, Raphaele Herbin. Small-stencil 3D schemes for diffusive flows in porous media. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2012, 46, pp.265-290. 〈10.1051/m2an/2011040〉. 〈hal-00542667v2〉
  • Raphaele Herbin, Ludovic Leclercq. "A note on the Entropy Solutions of the Hydrodynamic Model of Traffic Flow" revisited. Transportation Science, INFORMS, 2011, 45 (1), pp.138-142. 〈hal-00793622〉
  • Laura Gastaldo, Raphaele Herbin, Jean-Claude Latché. A discretization of phase mass balance in fractional step algorithms for the drift-flux model. IMA Journal of Applied Mathematics, Oxford University Press (OUP), 2011, 31 (1), pp.116-146. 〈hal-00308838〉
  • Robert Eymard, Raphaèle Herbin, Mohamed Rhoudaf. Approximation of the biharmonic problem using P1 finite elements. Journal of Numerical Mathematics, De Gruyter, 2011, pp.Volume 19, Issue 1, Pages 1-26. 〈hal-00825673〉
  • Raphaele Herbin, Walid Kheriji, Jean-Claude Latché. STAGGERED SCHEMES FOR ALL SPEED FLOWS. ESAIM: Proceedings, EDP Sciences, 2011, Congrès National de Mathématiques Appliquées et Industrielles, 35, pp.122-150. 〈10.1051/proc/201235008〉. 〈hal-00636173〉
  • Robert Eymard, Thierry Gallouët, Raphaele Herbin, Jean-Claude Latché. A convergent Finite Element-Finite Volume scheme for the compressible Stokes problem, Part II -- the isentropic case. Math. Comp., 2010, 79 (270), pp.649--675. 〈10.1090/S0025-5718-09-02310-2〉. 〈hal-00359140〉
  • Raphaele Herbin, Jean-Claude Latché. Kinetic energy control in the MAC discretization of compressible Navier-Stokes equations. International Journal on Finite Volumes, Institut de Mathématiques de Marseille, AMU, 2010, 7 (2). 〈hal-00477079〉
  • Robert Eymard, Raphaèle Herbin. Approximation of the biharmonic problem using piecewise linear finite elements. Comptes Rendus Mathématique, Elsevier Masson, 2010, 348 (23-24), pp.1283-1286. 〈10.1016/j.crma.2010.11.002〉. 〈hal-00693004〉
  • Robert Eymard, Thierry Gallouët, Raphaele Herbin. Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2010, 30 (4), pp.1009-1043. 〈10.1093/imanum/drn084〉. 〈hal-00203269v5〉
  • Thierry Gallouët, Laura Gastaldo, Jean-Claude Latché, Raphaele Herbin. An unconditionnally stable pressure correction scheme for compressible barotropic Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2010, 44 (2), pp.251--287. 〈10.1051/m2an/2010002〉. 〈hal-00179610〉
  • Jerome Droniou, Robert Eymard, Thierry Gallouët, Raphaele Herbin. A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2010, 20 (2), pp.265--295. 〈10.1142/S0218202510004222〉. 〈hal-00346077〉
  • Laura Gastaldo, Raphaele Herbin, Jean-Claude Latché. An unconitionally stable finite-element/finite-volume pressure correction scheme for the drift-flux model. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2010, 44 (2), pp.251-287. 〈hal-00264659〉
  • Robert Eymard, Thierry Gallouët, Raphaele Herbin, Jean-Claude Latché. Convergence of the MAC scheme for the compressible Stokes equations. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2010, 48 (6), pp.2218-2246. 〈hal-00542676〉
  • Robert Eymard, Thierry Gallouët, Raphaele Herbin. Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. J. Numer. Math., 2009, 17 (3), pp.173--193. 〈10.1515/JNUM.2009.010〉. 〈hal-00351867〉
  • Léo Agélas, Robert Eymard, Raphaele Herbin. A nine point finite volume scheme for the simulation of diffusion in heterogeneous media. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2009, 347 (11-12), pp.673-676. 〈hal-00350139〉
  • Robert Eymard, Raphaele Herbin, Jean-Claude Latché, Bruno Piar. Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2009, 43 (5), pp.889-927. 〈10.1051/m2an/2009031〉. 〈hal-00530814〉
  • Thierry Gallouët, Raphaele Herbin, Jean-Claude Latché. A convergent Finite Element-Finite Volume scheme for the compressible Stokes problem Part I -- the isothermal case. Mathematics of Computation, American Mathematical Society, 2009, 78 (267), pp.1333-1352. 〈hal-00198724v2〉
  • Eric Chénier, Robert Eymard, Raphaele Herbin. A collocated finite volume scheme to solve free convection for general non-conforming grids. Journal of Computational Physics, Elsevier, 2009, 228 (6), pp.2296-2311. 〈10.1016/j.jcp.2008.10.034〉. 〈hal-00280822v2〉
  • Abdallah Bradji, Raphaele Herbin. Discretization of the coupled heat and electrical diffusion problems by the finite element and the finite volume methods. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2008, 28 (3), pp.469-495. 〈10.1093/imanum/drm030〉. 〈hal-00123247〉
  • Nicolas Bouillard, Robert Eymard, Marie Henry, Raphaele Herbin, Danielle Hilhorst. A fast precipitation and dissolution reaction for a reaction diffusion system arising in a porous medium. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2007, 41 (6), pp.975-1000. 〈10.1051/m2an:2007047〉. 〈hal-00136237〉
  • Robert Eymard, Raphaele Herbin, Jean-Claude Latché. Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2 or 3D meshes. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2007, 45 (1), pp.1-36. 〈10.1137/040613081〉. 〈hal-00004841v2〉
  • Robert Eymard, Thierry Gallouët, Raphaèle Herbin. A cell-centred finite volume approximation for second order partial derivative operators with full matrix on unstructured meshes in any space dimension. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2006, 26, pp.326-353. 〈hal-00004840〉
  • Robert Eymard, Raphaele Herbin, Jean-Claude Latché. On a stabilized colocated Finite Volume scheme for the Stokes problem. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2006, 40 (3), pp.501-527. 〈hal-00793601〉
  • Philippe Blanc, Robert Eymard, Raphaèle Herbin. A staggered finite volume scheme on general meshes for the generalized Stokes problem in two space dimensions AstaggeredschemefortheStokesequations. International Journal on Finite Volumes, Institut de Mathématiques de Marseille, AMU, 2005, 2 (1), pp.1-31. 〈hal-01112399〉
  • Robert Eymard, Raphaèle Herbin. A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions. International Journal on Finite Volumes, Institut de Mathématiques de Marseille, AMU, 2005, 2 (1), pp.1-18. 〈hal-01112401〉
  • Emily Gallouët, Raphaèle Herbin. Axisymmetric finite volumes for the numerical simulation of bulk CO 2 transport and assimilation in a leaf. International Journal on Finite Volumes, Institut de Mathématiques de Marseille, AMU, 2005, 4 (2), pp.1-17. 〈hal-01112397〉
  • Thierry Gallouët, Raphaele Herbin. Convergence of linear finite elements for diffusion equations with measure data. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2004, vol. 338, issue 1, pp 81-84. 〈hal-00003437〉
  • Robert Eymard, Thierry Gallouët, Raphaele Herbin. A finite volume scheme for anisotropic diffusion problems. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2004, vol. 339, issue 4, pp.299-302. 〈hal-00003328〉
  • René Cautrès, Raphaèle Herbin, Florence Hubert. The Lions domain decomposition algorithm on non matching cell-centered finite volume meshes. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2004, 24, pp.465 - 490. 〈hal-00003306〉
  • Jerome Droniou, Thierry Gallouët, Raphaele Herbin. A finite volume scheme for noncoercive elliptic equation with measure data. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2003, Volume 41, Number 6, pp 1997-2031. 〈hal-00003440〉

Communication dans un congrès11 documents

  • Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaele Herbin. An error estimate for the approximation of linear parabolic equations by the Gradient Discretization Method. FVCA 2017 - International Conference on Finite Volumes for Complex Applications VIII, 2017, Lille, France. 2017, Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. 〈hal-01442921〉
  • Thierry Gallouët, Raphaele Herbin, Jean-Claude LatchÉ, K Mallem. Convergence of the mac scheme for variable density flows. Finite Volume for Complex Applications 8, Jun 2017, Lille, France. 〈hal-01483467〉
  • Dionysios Grapsas, Raphaele Herbin, J Latché. TWO MODELS FOR THE COMPUTATION OF LAMINAR FLAMES IN DUST CLOUDS. Finite volume for Complex Applications 8, Jun 2017, Lille, France. Springer, Proceedings of Finite Volume for Complex Applications FVCA8, Lille, June 2017. 〈hal-01483466〉
  • Raphaele Herbin, J.-C. Latché, K Saleh. Low Mach number limit of a pressure correction MAC scheme for compressible barotropic flows. Finite Volumes for Complexe Applicxations 8, Jun 2017, Lille, France. 〈https://indico.math.cnrs.fr/event/1299/〉. 〈10.1007/978-3-319-57397-7_18〉. 〈hal-01482309v2〉
  • Cindy Guichard, Robert Eymard, Raphaele Herbin, Roland Masson, P Samier. Vertex-centred Discretization of Multiphase Compositional Darcy Flows on General Meshes. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Sep 2012, Biarritz, France. 〈10.3997/2214-4609.20143221〉. 〈hal-01238550〉
  • Thierry Gallouët, Raphaele Herbin, Jean-Claude Latché, Trung Tan Nguyen. Playing with Burgers's equation. Jaroslav Fořt, Jiří Fürst, Jan Halama, Raphaèle Herbin and Florence Hubert. Finite Volumes for Complex Applications VI - Problems & Perspectives, Jun 2011, Prague, Czech Republic. Springer, 4 (1), pp.523-531, 2011, Springer Proceedings in Mathematics. 〈10.1007/978-3-642-20671-9_55〉. 〈hal-00576248〉
  • Fabrice Babik, Raphaele Herbin, Walid Kheriji, Jean-Claude Latché. Discretization of the viscous dissipation term with the MAC scheme. J. Fort, J. Furst, J Halama, R. Herbin, F. Hubert. FVCA 6, Internal Symposium, Jun 2011, Prague, Czech Republic. Springer, 4, pp.571-579, 2011, Springer Proceedings in Mathematics. 〈10.1007/978-3-642-20671-9_60〉. 〈hal-00576268〉
  • Laura Gastaldo, Raphaele Herbin, Walid Kheriji, Céline Lapuerta, Jean-Claude Latché. Staggered discretizations, pressure correction schemes and all speed barotropic flows. J. Fort, J. Furst, J Halama, R. Herbin, F. Hubert. FVC6, International Symposium, Jun 2011, Prague, Czech Republic. Springer, 4, pp.839-855, 2011, Springer Proceedings in Mathematics. 〈hal-00576246〉
  • Robert Eymard, Cindy Guichard, Raphaele Herbin, Roland Masson. Multiphase Flow in Porous Media Using the VAG Scheme. Finite Volumes for Complex Applications VI Problems & Perspectives, Jun 2011, Prague, Czech Republic. 4, pp.409-417, Finite Volumes for Complex Applications VI Problems & Perspectives, the series Springer Proceedings in Mathematics. 〈10.1007/978-3-642-20671-9_43〉. 〈hal-01238557〉
  • Raphaele Herbin, Florence Hubert. Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids. ISTE. Finite volumes for complex applications V, Jun 2008, France. Wiley, pp.659--692, 2008. 〈hal-00429843〉
  • Nicolas Bouillard, Philippe Montarnal, Raphaele Herbin. Development of numerical methods for the reactive transport of chemical species in a porous media : a nonlinear conjugate gradient method. M. Papadrakis, E. Onate, B. Schreffer. 2005, CIMNE, pp.16, 2005, available on CD. 〈hal-00113144〉

Ouvrage (y compris édition critique et traduction)2 documents

Pré-publication, Document de travail9 documents

  • Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaele Herbin. The gradient discretisation method . Cf file "changelog_hal.pdf". 2018. 〈hal-01382358v7〉
  • Thierry Gallouët, Raphaele Herbin, David Maltese, Antonín Novotný. Implicit MAC scheme for compressible Navier-Stokes equations: Low Mach asymptotic error estimates. 2017. 〈hal-01462822〉
  • Thierry Gallouët, Raphaele Herbin, David Maltese, Antonin Novotny. Implicit MAC scheme for compressible Navier-Stokes equations: Unconditional error estimates. 2017. 〈hal-01448698〉
  • Raphaele Herbin, J.-C Latché, Trung Tan Nguyen. CONSISTENT SEGREGATED STAGGERED SCHEMES WITH EXPLICIT STEPS FOR THE ISENTROPIC AND FULL EULER EQUATIONS. This article is a merge of preprints 00821069 and 00821070. 2017. 〈hal-01436996〉
  • Thierry Gallouët, Raphaele Herbin, J.-C Latché, N Therme. Entropy estimates for a class of schemes for the euler equations. 2017. 〈hal-01553699〉
  • Raphaele Herbin, Jean-Claude Latché, Trung Tan Nguyen. Consistent explicit staggered schemes for compressible flows Part II: the Euler equation. 2013. 〈hal-00821070〉
  • Raphaele Herbin, Jean-Claude Latché, Trung Tan Nguyen. Consistent explicit staggered schemes for compressible flows Part I: the barotropic Euler equations.. 2013. 〈hal-00821069〉
  • Robert Eymard, Raphaele Herbin, Jean-Claude Latché, Bruno Piar. On colocated clustered finite volume schemes for incompressible flow problems. soumis, octobre 2006. 2007. 〈hal-00136125〉
  • Robert Eymard, Raphaele Herbin, Jean-Claude Latché, Bruno Piar. On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem. soumis. 2007. 〈hal-00136127〉

Rapport1 document

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

Cours3 documents

  • Thierry Gallouët, Raphaele Herbin. Equations aux dérivées partielles. Master. France. 2015. 〈cel-01196782〉
  • Raphaèle Herbin. Analyse numérique des équations aux dérivées partielles. Engineering school. Marseille, 2011. 〈cel-00637008〉
  • Raphaèle Herbin. Cours d'analyse numérique 2004-2005. 2006. 〈cel-00092967〉