Robert EYMARD
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- Publications
| Nom: | EYMARD |
 |
| Prénom: | Robert | |
| Site: | UPEM | |
| Bureau: | 4B 011 | |
| Téléphone: | +33 1 60 95 72 81 | |
| Situation: | Permanent | |
| Statut: | Professeur | |
| Équipe de recherche: | Équations aux dérivées partielles | |
| Courriel: | robert.eymard [at] u-pem.fr | |
| Page personnelle: | http://perso.math.u-pem.fr/eymard.robert/ | |
Publications au sein du laboratoire
La liste ci-dessous présente les publications du membre obtenues pendant sa présence au sein du laboratoire. Les données proviennent des serveurs de HAL ; il peut donc y avoir des oublis, des doublons ou des erreurs.
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The gradient discretisation method for linear advection problemsComputational Methods in Applied Mathematics (2019)
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The gradient discretisation methodSpringer International Publishing AG Mathématiques et Applications 82 (2018)
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Numerical methods for piecewise deterministic Markov processes with boundaryIMA Journal of Numerical Analysis 37 1 (2017) 170-208
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Family of convergent numerical schemes for the incompressible Navier-Stokes equationsMathematics and Computers in Simulation (2017)
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Discontinuous Galerkin gradient discretisations for the approximation of second-order differential operators in divergence formComputational and Applied Mathematics (2017)
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An error estimate for the approximation of linear parabolic equations by the Gradient Discretization MethodFVCA 2017 - International Conference on Finite Volumes for Complex Applications VIII (2017)
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DGM, an item of GDMFVCA 2017 - International Conference on Finite Volumes for Complex Applications VIII (2017)
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Convergence in $C(\lbrack0,T\rbrack;L^2(\Omega))$ of weak solutions to perturbed doubly degenerate parabolic equationsJournal of Differential Equations (2016)
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Gradient schemes: generic tools for the numerical analysis of diffusion equationsModelisation Mathématique et Analyse Numérique 50 3 (2016) 749-781
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Gradient Schemes for Stokes problemIMA Journal of Numerical Analysis (2015)
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L2-stability independent of diffusion for a finite element -- finite volume discretization of a linear convection-diffusion equationSIAM Journal on Numerical Analysis (2015)
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Applications of approximate gradient schemes for nonlinear parabolic equationsApplications of Mathematics (2015)
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Uniform-in-time convergence result of numerical methods for non-linear parabolic equationsNumerische Mathematik (2015)
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Gradient Schemes for incompressible steady Navier-Stokes problemMAMERN VI–2015: 6 th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources (2015)
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Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problemsJournal of Evolution Equations (2014) 14(3):635-669, 2014
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TP or not TP, that is the questionComputational Geosciences (2014) 18:285-296, 2014
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High Performance Computing linear algorithms for two-phase flow in porous mediaFVCA7 - The International Symposium of Finite Volumes for Complex Applications VII (2014)
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An extension of the MAC scheme to locally refined meshes : convergence analysis for the full tensor time-dependent Navier-Stokes equationsCalcolo 52 1 (2014) 69-107
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Uniform-in-time convergence of numerical schemes for Richards' and Stefan's modelsFVCA7 - The International Symposium of Finite Volumes for Complex Applications VII (2014)
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Convection and total variation flowIMA Journal of Numerical Analysis (2014)
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Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equationsMathematical Models and Methods in Applied Sciences (2013) 23(13), 2395-2432
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Gradient schemes for the Stefan problemInternational Journal on Finite Volumes (2013) Volume 10 special
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Study of a numerical scheme for miscible two-phase flow in porous mediaNumerical Methods for Partial Differential Equations (2013) 30(3):723-748, 2014
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Gradient schemes for two-phase flow in heterogeneous porous media and Richards equationJournal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (2013) Volume 94, Issue 7-8, pages 560–585, July 2014
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Small-stencil 3D schemes for diffusive flows in porous mediaESAIM: Mathematical Modelling and Numerical Analysis 46 (2012) 265-290
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Convergence of a misanthrope process to the entropy solution of 1D problemsStochastic Processes and their Applications 122 (2012) http://www.sciencedirect.com/science/article/pii/S0304414912001536
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Vertex centred Discretization of Two-Phase Darcy flows on General MeshesESAIM: Proceedings 35 (2012) 59-78
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Approximation of nonlinear parabolic equations using a family of conformal and non-conformal schemesCommunications on Pure and Applied Mathematics 11 1 (2012) http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=6484
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Vertex-centred discretization of multiphase compositional Darcy flows on general meshesComputational Geosciences 16 4 (2012) 987 - 1005
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Grid Orientation Effect in coupled Finite Volume SchemesIMA Journal of Numerical Analysis (2012) http://imajna.oxfordjournals.org/cgi/authordata?d=10.1093/imanum/drs016&k=929ef8d7
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Finite volume approximation of degenerate two-phase flow model with unlimited air mobilityNumerical Methods for Partial Differential Equations 29 2 (2012) pp. 441-474
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Finite volume schemes for the biharmonic problem on general meshesMathematics of Computation 81 280 (2012) 2019-2048
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An Extension of the MAC Scheme to some Unstructured Meshes6th International Symposium on Finite Volumes for Complex Applications 4 (2011) 253-261
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3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General GridsFinite Volume for Complex Applications VI (2011) 895--930
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Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storageMathematics and Computers in Simulation 81 10 (2011) 2001-2017
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Approximation of the biharmonic problem using P1 finite elementsJournal of Numerical Mathematics (2011) Volume 19, Issue 1, Pages 1-26
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Hybrid finite volume discretization of linear elasticity models on general meshesFinite Volumes for Complex Applications VI Problems & Perspectives 4 (2011) 331-339
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Importance and Sensitivity Analysis in Dynamic ReliabilityMethodology and Computing in Applied Probability 13 1 (2011) 75-104
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Study of a finite volume scheme for the regularised mean curvature flow level set equationIMA Journal of Numerical Analysis (2011) http://imajna.oxfordjournals.org/content/31/3/813
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Finite volume schemes for the approximation via characteristics of linear convection equations with irregular dataJournal of Evolution Equations 11 3 (2011) 687-724
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A Collocated Finite Volume Scheme for the Incompressible Navier-Stokes Equations on General Non-Matching Grids5th International Symposium on Finite Volumes for Complex Applications (2010) 289-296
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Convergence of the MAC scheme for the compressible Stokes equationsSIAM Journal on Numerical Analysis 48 6 (2010) 2218-2246
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On Intrinsic Formulation and Well-posedness of a Singular Limit of Two-phase Flow Equations in Porous MediaEleventh International Conference Zaragoza–Pau on Applied Mathematics and Statistics 38 (2010) pp. 21-34
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An abstract analysis framework for nonconforming approximations of diffusion problems on general meshesInternational Journal on Finite Volumes 7 1 (2010) 1-29
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Approximation of the biharmonic problem using piecewise linear finite elements,Approximation d'un problème biharmonique par élément fini P1Comptes Rendus Mathématique 348 (2010) 1283-1286
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Algorithms for coupled mechanical deformations and fluid flow in a porous medium with different time scalesInternational Journal of Numerical Analysis and Modeling 5 4 (2009) 635-658
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Algorithms for coupled mechanical deformations and fluid flow in a porous medium with different time scales.International Journal of Numerical Analysis and Modeling 5 4 (2009) 635-658
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Towards a generalization of the MAC scheme on unstructured meshesWorkshop on Discretization methods for viscous flows (2009)
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A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching gridsNumerical Methods for Partial Differential Equations 26 3 (2009) 612-646
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Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flowsESAIM: Mathematical Modelling and Numerical Analysis 43 5 (2009) 889-927
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Comparison of numerical methods for the assessment of production availability of a hybrid systemReliability Engineering and System Safety 93 1 (2008) 168-177
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An implicit finite volume scheme for a scalar hyperbolic problem with measure data related to piecewise deterministic Markov processesJournal of Computational and Applied Mathematics 222 2 (2008) 293-323
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Study of the mixed finite volume method for Stokes and Navier-Stokes equationsNumerical Methods for Partial Differential Equations (2008)
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Mathematical and numerical study of a system of conservation lawsJournal of Evolution Equations (2007) http://www.springerlink.com/content/wrj46l34231r8k66/?MUD=MP
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Existence of a solution for two phase flow in porous media: The case that the porosity depends on the pressureJournal of Mathematical Analysis and Applications 326 1 (2007) 332-351
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On a stabilized colocated Finite Volume scheme for the Stokes problemESAIM: Mathematical Modelling and Numerical Analysis 40 3 (2006) 501-527
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Identification of a stratigraphic model with seismic constraintsInverse Problems 22 (2006) 1207-1225
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A mixed finite volume scheme for anisotropic diffusion problems on any gridNumerische Mathematik 105 (2006) http://rd.springer.com/article/10.1007/s00211-006-0034-1
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Characterization of the marginal distributions of Markov processes used in dynamic reliabilityJournal of Applied Mathematics and Stochastic Analysis 2006 (2006) 1-18
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A finite-volume scheme for dynamic reliability modelsIMA Journal of Numerical Analysis 26 3 (2005) 446-471
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Approximation of the marginal distributions of a semi-Markov process using a finite volume schemeESAIM: Mathematical Modelling and Numerical Analysis 38 5 (2004) 853-875
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Finite volume schemes for two phase flow in porous mediaComputing and Visualization in Science 7 (2004) 31-40
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A finite volume scheme for anisotropic diffusion problemsComptes rendus de l'Académie des sciences. Série I, Mathématique (2004) 299-302
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Limit boundary conditions for finite volume approximations of some physical problemsJournal of Computational and Applied Mathematics (2003) pp. 349-369
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H-convergence and numerical schemes for elliptic equationsSIAM Journal on Numerical Analysis (2003) 539-562
Laboratoire d'Analyse et de Mathématiques Appliquées
Université Paris-Est - Marne-la-Vallée
Université Paris-Est - Marne-la-Vallée
5 boulevard Descartes
Bâtiment Copernic
77420 Champs-sur-Marne