1. Recherche
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hal-01278409v1  Article dans une revue
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>
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hal-00280822v2  Article dans une revue
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>
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hal-00795201v1  Communication dans un congrès
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>
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hal-00318390v1  Article dans une revue
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
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hal-00623832v1  Article dans une revue
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>
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hal-00740367v3  Article dans une revue
Robert Eymard, Cindy Guichard, Raphaele 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>
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hal-00580549v1  Communication dans un congrès
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
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hal-00751555v1  Article dans une revue
Robert Eymard, Pierre Féron, Thierry Gallouet, Raphaele Herbin, Cindy Guichard. Gradient schemes for the Stefan problem
International Journal on Finite Volumes, Institut de Mathématiques de Marseille, AMU, 2013, Volume 10 special
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hal-00958139v1  Pré-publication, Document de travail
Robert Eymard, Pierre Féron. Gradient Schemes for Stokes problem
2014
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hal-00359140v1  Article dans une revue
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>
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hal-00110911v1  Pré-publication, Document de travail
Jerome Droniou, Robert Eymard. Study of the mixed finite volume method for Stokes and Navier-Stokes equations
2006
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hal-00003433v1  Article dans une revue
Robert Eymard, Thierry Gallouet. Finite volume schemes for two phase flow in porous media
Comput Visual Sci, 2004, 7, pp.31-40
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hal-00606948v2  Communication dans un congrès
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>
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hal-00424924v1  Pré-publication, Document de travail
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
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hal-00136125v1  Pré-publication, Document de travail
Robert Eymard, Raphaele Herbin, Jean-Claude Latché, Bruno Piar. On colocated clustered finite volume schemes for incompressible flow problems
soumis, octobre 2006. 2007
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hal-00136127v1  Pré-publication, Document de travail
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
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hal-00351867v1  Article dans une revue
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-00693093v1  Article dans une revue
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>
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hal-01158777v1  Pré-publication, Document de travail
Jerome Droniou, Robert Eymard, Kyle Talbot. UNIFORM TEMPORAL STABILITY OF SOLUTIONS TO DOUBLY NONLINEAR DEGENERATE PARABOLIC EQUATIONS
2015
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hal-01150517v2  Article dans une revue
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
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hal-00958131v1  Communication dans un congrès
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>
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hal-00949677v1  Communication dans un congrès
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>
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hal-01133268v1  Communication dans un congrès
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
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hal-01535147v1  Pré-publication, Document de travail
Robert Eymard, Cindy Guichard. The discontinuous Galerkin gradient discretisation
2017
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hal-01442921v1  Communication dans un congrès
Jérôme Droniou, Robert Eymard, Thierry Gallouet, 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
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hal-01442922v1  Communication dans un congrès
Robert Eymard, Cindy Guichard. DGM, an item of GDM
FVCA 2017 - International Conference on Finite Volumes for Complex Applications VIII, 2017, Lille, France
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hal-01382924v1  Pré-publication, Document de travail
Robert Eymard, Pierre Feron, Cindy Guichard. Family of convergent numerical schemes for the incompressible Navier-Stokes equations
2016
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hal-00751556v1  Article dans une revue
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>

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