Nombre de documents

78


Article dans une revue56 documents

  • Jerome Droniou, Robert Eymard, Kyle Talbot. Convergence in $C(\lbrack0,T\rbrack;L^2(\Omega))$ of weak solutions to perturbed doubly degenerate parabolic equations. Journal of Differential Equations, Elsevier, 2016, <10.1016/j.jde.2016.02.004>. <hal-01278409>
  • 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>
  • François Bouchut, Robert Eymard,, Alain Prignet. Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. Journal of Evolution Equations, Springer Verlag, 2014, pp.14(3):635-669, 2014. <10.1007/s00028-014-0231-9>. <hal-00859700>
  • Robert Eymard, Thierry Gallouet, 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>
  • François Bouchut, David Doyen, Robert Eymard. Convection and total variation flow. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2014, <10.1093/imanum/drt039>. <hal-00770644v5>
  • 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,, Cindy Guichard, Raphaèle Herbin, Roland Masson. Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. ZAMM, 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 Gallouet, 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>
  • Robert Eymard,, Pierre Féron, Thierry Gallouet, 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>
  • Robert Eymard, V Schleper. Study of a numerical scheme for miscible two-phase flow in porous media. Numerical Methods for Partial Differential Equations, Wiley, 2013, pp.30(3):723-748, 2014. <10.1002/num.21823>. <hal-00741425v4>
  • 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, 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>
  • Boris Andreianov, Robert Eymard,, Mustapha Ghilani, Nouzha Marhraoui. Finite volume approximation of degenerate two-phase flow model with unlimited air mobility. Numerical Methods for Partial Differential Equations, Wiley, 2012, 29 (2), pp. 441-474. <10.1002/num.21715>. <hal-00606955>
  • Robert Eymard,, Cindy Guichard, Roland Masson. Grid Orientation Effect in coupled Finite Volume Schemes. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2012, http://imajna.oxfordjournals.org/cgi/authordata?d=10.1093/imanum/drs016&k=929ef8d7. <10.1093/imanum/drs016>. <hal-00623721v2>
  • 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>
  • Robert Eymard,, Angela Handlovicova, Karol Mikula. Approximation of nonlinear parabolic equations using a family of conformal and non-conformal schemes. Communications on Pure and Applied Mathematics, Wiley, 2012, 11 (1), http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=6484. <10.3934/cpaa.2012.11.147>. <hal-00453537>
  • 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,, Michel Roussignol, Antoine Tordeux. Convergence of a misanthrope process to the entropy solution of 1D problems. Stochastic Processes and their Applications, Elsevier, 2012, 122, http://www.sciencedirect.com/science/article/pii/S0304414912001536. <10.1016/j.spa.2012.07.002>. <hal-00623832>
  • François Bouchut, Robert Eymard,, Alain Prignet. Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data. Journal of Evolution Equations, Springer Verlag, 2011, 11 (3), pp.687-724. <10.1007/s00028-011-0106-2>. <hal-00538438>
  • Robert Eymard,, Sophie Mercier, M. Roussignol. Importance and sensitivity analysis in dynamic reliability. Methodology and Computing in Applied Probability, Springer Verlag, 2011, 13 (1), pp.75-104. <hal-00913581>
  • O. Angelini, C. Chavant, Eric Chénier, Robert Eymard,, S. Granet. Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage. Mathematics and Computers in Simulation, Elsevier, 2011, 81 (10), pp.2001-2017. <10.1016/j.matcom.2010.12.016>. <hal-00713504>
  • 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>
  • Robert Eymard,, Angela Handlovicova, Karol Mikula. Study of a finite volume scheme for the regularised mean curvature flow level set equation. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2011, http://imajna.oxfordjournals.org/content/31/3/813. <10.1093/imanum/drq025>. <hal-00407573v2>
  • Robert Eymard,, Sophie Mercier, Michel Roussignol. Importance and Sensitivity Analysis in Dynamic Reliability. Methodology and Computing in Applied Probability, Springer Verlag, 2011, 13 (1), pp.75--104. <10.1007/s11009-009-9122-x>. <hal-00692992>
  • 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>
  • L. Agélas, D. A. Di Pietro, Robert Eymard,, R. Masson. An abstract analysis framework for nonconforming approximations of diffusion problems on general meshes. International Journal on Finite Volumes, Institut de Mathématiques de Marseille, AMU, 2010, 7 (1), pp.1-29. <hal-00318390>
  • 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>
  • 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,, Raphaele 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>
  • 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>
  • 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>
  • Robert Eymard,, D. Hilhorst, Martin Vohralík. A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids. Numerical Methods for Partial Differential Equations, Wiley, 2009, 26 (3), pp.612-646. <10.1002/num.20449>. <hal-00081711>
  • 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>
  • Jacques Laminie, Fatima Zahra Daim, Danielle Hilhorst, Robert Eymard,. Algorithms for coupled mechanical deformations and fluid flow in a porous medium with different time scales.. International Journal of Numerical Analysis and Modeling, Institute for Scientific Computing and Information, 2009, 5 (4), pp.635-658. <hal-00730673>
  • 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>
  • O. Touazi, Eric Chénier, Robert Eymard,. Simulation of natural convection with the Collocated Clustered Finite Volume scheme. Computers and Fluids, Elsevier, 2008, 37 (9), pp.1138--1147. <10.1016/j.compfluid.2007.09.006>. <hal-00723173>
  • Eric Chénier, Robert Eymard,, R. Herbin, O. Touazi. Collocated finite volume schemes for the simulation of natural convective flows on unstructured meshes. International Journal for Numerical Methods in Fluids, Wiley, 2008, 56 (11), pp.2045--2068. <10.1002/fld.1603>. <hal-00723170>
  • Robert Eymard,, Sophie Mercier, Alain Prignet. An implicit finite volume scheme for a scalar hyperbolic problem with measure data related to piecewise deterministic Markov processes. Journal of Computational and Applied Mathematics, Elsevier, 2008, 222 (2), pp.293--323. <10.1016/j.cam.2007.10.053>. <hal-00693134>
  • Robert Eymard,, Sophie Mercier. Comparison of numerical methods for the assessment of production availability of a hybrid system. Reliability Engineering & System Safety, 2008, 93 (1), pp.168--177. <10.1016/j.ress.2006.12.001>. <hal-00693079>
  • 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,, Elodie Tillier. Mathematical and numerical study of a system of conservation laws. Journal of Evolution Equations, Springer Verlag, 2007, http://www.springerlink.com/content/wrj46l34231r8k66/?MUD=MP. <10.1007/s00028-006-0271-x>. <hal-00108526>
  • F. Z. Daim, Robert Eymard,, D. Hilhorst. Existence of a solution for two phase flow in porous media: The case that the porosity depends on the pressure. Journal of Mathematical Analysis and applications, Elsevier, 2007, 326 (1), pp.332--351. <10.1016/j.jmaa.2006.02.082>. <hal-00693093>
  • Jacques Blum, Gabriela Dobranszky, Robert Eymard,, Roland Masson. Identification of a stratigraphic model with seismic constraints. Inverse Problems, IOP Publishing, 2006, 22, pp.1207-1225. <10.1088/0266-5611/22/4/006>. <inria-00414400>
  • J. Droniou, Robert Eymard,. A mixed finite volume scheme for anisotropic diffusion problems on any grid. Numerische Mathematik, Springer Verlag, 2006, 105, http://rd.springer.com/article/10.1007/s00211-006-0034-1. <10.1007/s00211-006-0034-1>. <hal-00005565v3>
  • 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>
  • Christiane Cocozza-Thivent, Robert Eymard,, S. Mercier. A finite-volume scheme for dynamic reliability models. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2006, 26 (3), pp.446--471. <10.1093/imanum/dri1001>. <hal-00693102>
  • J. Bénard, Robert Eymard,, Xavier Nicolas, C. Chavant. Boiling in porous media: Model and simulations. Transport in Porous Media, Springer Verlag, 2005, 60 (1), pp.1-31. <10.1007/s11242-004-2594-9>. <hal-00694587>
  • Robert Eymard,, Thierry Gallouet. Finite volume schemes for two phase flow in porous media. Comput Visual Sci, 2004, 7, pp.31-40. <hal-00003433>
  • Robert Eymard,, Thierry Gallouet, 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>
  • Eric Chénier, Robert Eymard,, Xavier Nicolas. A finite volume scheme for the transport of radionucleides in porous media. Computational Geosciences, Springer Verlag, 2004, 8 (2), pp.163-172. <10.1023/B:COMG.0000035077.63408.71>. <hal-00695261>
  • Christiane Cocozza-Thivent, Robert Eymard,. Approximation of the marginal distributions of a semi-Markov process using a finite volume scheme. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2004, 38 (5), pp.853--875. <10.1051/m2an:2004043>. <hal-00693113>
  • Robert Eymard,, Thierry Gallouët, Julien Vovelle. Limit boundary conditions for finite volume approximations of some physical problems. Journal of Computational and Applied Mathematics, Elsevier, 2003, Vol. 161, pp. 349-369. <hal-00003443>
  • Robert Eymard,, Thierry Gallouet. H-convergence and numerical schemes for elliptic equations. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2003, Volume 41, Number 2, pp.539-562. <hal-00003332>

Communication dans un congrès9 documents

  • Robert Eymard, Pierre Feron, Cindy Guichard. Gradient Schemes for incompressible steady Navier-Stokes problem. MAMERN VI–2015: 6 th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources, Jun 2015, Pau, France. 2015. <hal-01133268>
  • Jérôme Droniou, Robert Eymard,, Cindy Guichard. Uniform-in-time convergence of numerical schemes for Richards' and Stefan's models. FVCA7 - The International Symposium of Finite Volumes for Complex Applications VII, Jun 2014, Berlin, Germany. <10.1007/978-3-319-05684-5_23>. <hal-00949677>
  • Robert Eymard, Cindy Guichard, Roland Masson. High Performance Computing linear algorithms for two-phase flow in porous media. FVCA7 - The International Symposium of Finite Volumes for Complex Applications VII, Jun 2014, Berlin, Germany. <10.1007/978-3-319-05591-6_55>. <hal-00958131>
  • Eric Chénier, Robert Eymard,, R. Herbin. An Extension of the MAC Scheme to some Unstructured Meshes. 6th International Symposium on Finite Volumes for Complex Applications, Jun 2011, Prague, Czech Republic. 4, pp.253-261, 2011. <hal-00711360>
  • Robert Eymard,, Gérard Henry, Rapahele Herbin, Florence Hubert, Robert Klofkorn, et al.. 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids. J. Fort, J. Furst, J. Halama, R. Herbin, F. Hubert. Finite Volume for Complex Applications VI, Jun 2011, Praha, Czech Republic. Springer, pp.895--930, 2011. <hal-00580549>
  • Daniele Antonio Di Pietro, Robert Eymard,, Simon Lemaire, Roland Masson. Hybrid finite volume discretization of linear elasticity models on general meshes. J. Fořt, J. Fürst, J. Halama, R. Herbin, F. Hubert Eds. Finite Volumes for Complex Applications VI Problems & Perspectives, Jun 2011, Prague, Czech Republic. 4, pp.331-339, 2011, Springer Proceedings in Mathematics. <10.1007/978-3-642-20671-9_35>. <hal-00795201>
  • Boris Andreianov, Robert Eymard,, Mustapha Ghilani, Nouzha Marhraoui. On Intrinsic Formulation and Well-posedness of a Singular Limit of Two-phase Flow Equations in Porous Media. B. Alziary, M.C. López de Silanes, J. Giacomoni, and P. Takác. Eleventh International Conference Zaragoza–Pau on Applied Mathematics and Statistics, Sep 2010, Jaca, Spain. Monografias de la Real Academia de Ciencias de Zaragoza, 38, pp. 21-34, 2012, A special tribute to Professor Monique Madaune-Tort. <http://acz.unizar.es/ImageServlet?mod=publicaciones&subMod=monografias&car=monografia38&archivo=021.pdf>. <hal-00606948v2>
  • Eric Chénier, Robert Eymard,, R. Herbin. A Collocated Finite Volume Scheme for the Incompressible Navier-Stokes Equations on General Non-Matching Grids. 5th International Symposium on Finite Volumes for Complex Applications, Jun 2010, Aussois, France. pp.289-296, 2008. <hal-00711372>
  • Eric Chénier, Robert Eymard,, R. Herbin. Towards a generalization of the MAC scheme on unstructured meshes. Workshop on Discretization methods for viscous flows, Jun 2009, Porquerolles, France. <hal-00750547>

Pré-publication, Document de travail13 documents

  • Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaele Herbin. The gradient discretisation method : A framework for the discretisation and numerical analysis of linear and nonlinear elliptic and parabolic problems. 2016. <hal-01382358v3>
  • Robert Eymard, Pierre Feron, Cindy Guichard. Family of convergent numerical schemes for the incompressible Navier-Stokes equations. 2016. <hal-01382924>
  • Jerome Droniou, Robert Eymard,, Pierre Feron. Gradient Schemes for Stokes problem. 2015. <hal-01070703v2>
  • Jerome Droniou, Robert Eymard,, Kyle Talbot. UNIFORM TEMPORAL STABILITY OF SOLUTIONS TO DOUBLY NONLINEAR DEGENERATE PARABOLIC EQUATIONS. 2015. <hal-01158777>
  • Jérôme Droniou, Robert Eymard,, Raphaele Herbin. Gradient schemes: generic tools for the numerical analysis of diffusion equations. 2015. <hal-01150517v2>
  • Paul Deuring, Robert Eymard,, Marcus Mildner. L2-stability independent of diffusion for a finite element -- finite volume discretization of a linear convection-diffusion equation. 2014. <hal-01060065v2>
  • Jérôme Droniou, Robert Eymard,. Uniform-in-time convergence result of numerical methods for non-linear parabolic equations. 2014. <hal-00949682v3>
  • Robert Eymard,, Pierre Féron. Gradient Schemes for Stokes problem. 2014. <hal-00958139>
  • Christiane Cocozza-Thivent, Robert Eymard,, Ludovic Goudenège, Michel Roussignol. Numerical methods for piecewise deterministic Markov processes with boundary. 2013. <hal-00917203>
  • Robert Eymard,, Marie Henry, Danielle Hilhorst. Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero. 2009. <hal-00424924>
  • 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>
  • Jerome Droniou, Robert Eymard,. Study of the mixed finite volume method for Stokes and Navier-Stokes equations. 2006. <hal-00110911>