Number of documents

## 95

### Journal articles72 documents

• Wolfgang Arendt, Isabelle Chalendar, Robert Eymard. Galerkin approximation of linear problems in Banach and Hilbert spaces. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2020. ⟨hal-02264895v3⟩
• Jerome Droniou, Robert Eymard. HIGH-ORDER MASS-LUMPED SCHEMES FOR NONLINEAR DEGENERATE ELLIPTIC EQUATIONS. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2020, 58 (1), pp.153-188. ⟨hal-02016807⟩
• Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin. A unified analysis of elliptic problems with various boundary conditions and their approximation. Czechoslovak Mathematical Journal, Akademie věd České republiky, Matematický ústav, 2020, 70, pp.339-368. ⟨hal-01823265v3⟩
• Jérôme Droniou, Robert Eymard, T. Gallouët, R. Herbin. The gradient discretisation method for linear advection problems. Computational Methods in Applied Mathematics, De Gruyter, 2019. ⟨hal-02078340v2⟩
• Sutthisak Phongthanapanich, Robert Eymard. A Comparative Study of Characteristic Finite Element and Characteristic Finite Volume Methods for Convection-Diffusion-Reaction Problems on Triangular Grids. Applied Science and Engineering Progress, Academic Enhancement Department King Mongkut’s University of Technology North Bangkok, 2019, ⟨10.14416/j.asep.2019.10.002⟩. ⟨hal-03180538⟩
• Jérôme Droniou, Robert Eymard, Alain Prignet, Kyle S. Talbot. Unified convergence analysis of numerical schemes for a miscible displacement problem. Foundations of Computational Mathematics, Springer Verlag, 2018. ⟨hal-02492320⟩
• François Bouchut, David Doyen, Robert Eymard. Convection and total variation flow—erratum and improvement. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2017, 37 (4), pp.2139-2169. ⟨10.1093/imanum/drw076⟩. ⟨hal-03066497⟩
• Robert Eymard, Pierre Feron, Cindy Guichard. Family of convergent numerical schemes for the incompressible Navier-Stokes equations. Mathematics and Computers in Simulation, Elsevier, 2017, ⟨10.1016/j.matcom.2017.08.003⟩. ⟨hal-01382924v2⟩
• Robert Eymard, Cindy Guichard. Discontinuous Galerkin gradient discretisations for the approximation of second-order differential operators in divergence form. Computational and Applied Mathematics, Springer Verlag, 2017, ⟨10.1007/s40314-017-0558-2⟩. ⟨hal-01535147v2⟩
• Christiane Cocozza-Thivent, Robert Eymard, Ludovic Goudenège, Michel Roussignol. Numerical methods for piecewise deterministic Markov processes with boundary. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2017, 37 (1), pp.170-208. ⟨10.1093/imanum/drv069⟩. ⟨hal-00917203⟩
• Jérôme Droniou, Robert Eymard, Raphaele Herbin. Gradient schemes: generic tools for the numerical analysis of diffusion equations . ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2016, 50 (3), pp.749-781. ⟨hal-01150517v2⟩
• Jerome Droniou, Robert Eymard, Kyle S 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⟩
• Jérôme Droniou, Robert Eymard. Uniform-in-time convergence result of numerical methods for non-linear parabolic equations. Numerische Mathematik, Springer Verlag, 2015, ⟨10.1007/s00211-015-0733-6⟩. ⟨hal-00949682v3⟩
• Paul Deuring, Robert Eymard, Marcus Mildner. L2-stability independent of diffusion for a finite element -- finite volume discretization of a linear convection-diffusion equation. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2015, ⟨10.1137/140961146⟩. ⟨hal-01060065v2⟩
• Jerome Droniou, Robert Eymard, Pierre Feron. Gradient Schemes for Stokes problem. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2015, ⟨10.1093/imanum/drv061⟩. ⟨hal-01070703v2⟩
• 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⟩
• François Bouchut, David Doyen, Robert Eymard. Convection and total variation flow. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2014, 34 (3), pp.1037-1071. ⟨10.1093/imanum/drt039⟩. ⟨hal-00770644v5⟩
• 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⟩
• 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⟩
• 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, 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⟩
• 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⟩
• 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, 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⟩
• 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, 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. ⟨10.1007/s10596-012-9299-x⟩. ⟨hal-00706244⟩
• 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, 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, 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⟩
• 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, 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⟩
• 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, 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. ⟨10.1137/090779863⟩. ⟨hal-00542676⟩
• 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, Raphaèle Herbin. Approximation of the biharmonic problem using piecewise linear finite elements. Comptes Rendus. Mathématique, Académie des sciences (Paris), 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⟩
• 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. 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⟩
• Robert Eymard, Thierry Gallouët, Raphaele Herbin. Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Journal of Numerical Mathematics, De Gruyter, 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, 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⟩
• 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⟩
• Fatima-Zahra Daïm, Danielle Hilhorst, Jacques Laminie, 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-01449039⟩
• 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⟩
• 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 and System Safety, Elsevier, 2008, 93 (1), pp.168-177. ⟨10.1016/j.ress.2006.12.001⟩. ⟨hal-00693079⟩
• Jerome Droniou, Robert Eymard. Study of the mixed finite volume method for Stokes and Navier-Stokes equations. Numerical Methods for Partial Differential Equations, Wiley, 2008, ⟨10.1002/num.20333⟩. ⟨hal-00110911⟩
• 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⟩
• 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⟩
• 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, Bruno Piar. On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem. Calcolo, Springer Verlag, 2007, 44 (4), pp.219-234. ⟨10.1007/s10092-007-0138-8⟩. ⟨hal-00136127⟩
• 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⟩
• Fatima-Zahra Daim, Robert Eymard, Danielle 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⟩
• 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. ⟨10.1051/m2an:2006024⟩. ⟨hal-00793601⟩
• 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⟩
• Christiane Cocozza-Thivent, Robert Eymard, Sophie Mercier, Michel Roussignol. Characterization of the marginal distributions of Markov processes used in dynamic reliability. Journal of Applied Mathematics and Stochastic Analysis, North Atlantic Science Publishing Company, 2006, 2006, pp.1-18. ⟨10.1155/jamsa/2006/92156⟩. ⟨hal-02004712⟩
• 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⟩
• Christiane Cocozza-Thivent, Robert Eymard, Sophie Mercier. A finite-volume scheme for dynamic reliability models. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2005, 26 (3), pp.446-471. ⟨10.1093/imanum/drl001⟩. ⟨hal-00693102⟩
• Robert Eymard, Thierry Gallouët. Finite volume schemes for two phase flow in porous media. Computing and Visualization in Science, Springer Verlag, 2004, 7, pp.31-40. ⟨hal-00003433⟩
• 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, 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⟩
• 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 Gallouët. 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⟩

### Conference papers11 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. ⟨hal-01442921⟩
• Robert Eymard, Cindy Guichard. DGM, an item of GDM. FVCA 2017 - International Conference on Finite Volumes for Complex Applications VIII, 2017, Lille, France. ⟨hal-01442922⟩
• 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, Université de Pau, Jun 2015, Pau, France. ⟨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⟩
• Robert Eymard, Gérard Henry, Rapahele Herbin, Florence Hubert, Robert Klofkorn, et al.. 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids. Finite Volume for Complex Applications VI, Jun 2011, Praha, Czech Republic. pp.895--930. ⟨hal-00580549⟩
• Daniele Antonio Di Pietro, Robert Eymard, Simon Lemaire, Roland Masson. Hybrid finite volume discretization of linear elasticity models on general meshes. Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. pp.331-339, ⟨10.1007/978-3-642-20671-9_35⟩. ⟨hal-00795201⟩
• 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. pp.253-261. ⟨hal-00711360⟩
• 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. Eleventh International Conference Zaragoza–Pau on Applied Mathematics and Statistics, Sep 2010, Jaca, Spain. pp. 21-34. ⟨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. ⟨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⟩

### Books1 document

• Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaele Herbin. The gradient discretisation method. 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⟩. ⟨hal-01382358v8⟩

### Book sections2 documents

• Jerome Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin. Non-conforming finite elements on polytopal meshes. 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. ⟨hal-02898897⟩
• Robert Eymard, Thierry Gallouët, Raphaèle Herbin. Finite Volume Methods. 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⟩. ⟨hal-02100732v2⟩

### Preprints, Working Papers, ...9 documents

• Robert Eymard, Thierry Gallouët. A new convergence proof for approximations of the Stefan problem. 2022. ⟨hal-03693568v2⟩
• Robert Eymard, David Maltese, Alain Prignet. Weighted p−Laplace approximation of linear and quasi-linear elliptic problems with measure data. 2022. ⟨hal-03668635⟩
• Kanokwarun Para, Bubpha Jitsom, Robert Eymard, Surattana Sungnul, Sekson Sirisubtawee, et al.. An accuracy comparison of piecewise linear reconstruction techniques for the characteristic finite volume method for two-dimensional convection-diffusion equations. 2021. ⟨hal-03319127⟩
• Robert Eymard, David Maltese. Convergence of nonlinear numerical approximations for an elliptic linear problem with irregular data. 2021. ⟨hal-03105385⟩
• Eric Chénier, Robert Eymard. Exact pressure elimination for the Crouzeix-Raviart scheme applied to the Stokes and Navier-Stokes problems. 2021. ⟨hal-03104914⟩
• Jerome Droniou, Robert Eymard, Kyle S. Talbot. UNIFORM TEMPORAL STABILITY OF SOLUTIONS TO DOUBLY NONLINEAR DEGENERATE PARABOLIC EQUATIONS. 2015. ⟨hal-01158777⟩
• Robert Eymard, Pierre Féron. Gradient Schemes for Stokes problem. 2014. ⟨hal-00958139⟩
• 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. 2007. ⟨hal-00136125⟩