Robert Eymard

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 20

Top Topics

Error Estimates

Boundary Conditions

Numerical Methods

Top Venues

Comput. Methods Appl. Math.

Math. Comput. Simul.

SIAM J. Numer. Anal.

Publications

Robert Eymard, David Maltese
Convergence of the Incremental Projection Method Using Conforming Approximations. Comput. Methods Appl. Math. 24 (3) (2024)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin
Optimal error bounds for the two point flux approximation finite volume scheme. CoRR (2024)
Robert Eymard, David Maltese
Convergence of the incremental projection method using conforming approximations. CoRR (2023)
Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin
Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity. CoRR (2023)
Claire Chainais-Hillairet, Robert Eymard, Jürgen Fuhrmann
A monotone numerical flux for quasilinear convection diffusion equation. Math. Comput. 93 (345) (2023)
Wolfgang Arendt, Isabelle Chalendar, Robert Eymard
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions. CoRR (2023)
Wolfgang Arendt, Isabelle Chalendar, Robert Eymard
Extensions of derivations and symmetric operators. CoRR (2022)
Robert Eymard, Thierry Gallouët
A new convergence proof for approximations of the Stefan problem. CoRR (2022)
Eric Chénier, Robert Eymard
Exact pressure elimination for the Crouzeix-Raviart scheme applied to the Stokes and Navier-Stokes problems. CoRR (2021)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché
Finite volume schemes and Lax-Wendroff consistency. CoRR (2021)
Robert Eymard, Raphaèle Herbin, Jean-Claude Latché, Bruno Piar
A Class of Collocated Finite Volume Schemes for Incompressible Flow Problems. CoRR (2020)
Jérôme Droniou, Robert Eymard
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. CoRR (2020)
Jérôme Droniou, Robert Eymard
High-order Mass-lumped Schemes for Nonlinear Degenerate Elliptic Equations. SIAM J. Numer. Anal. 58 (1) (2020)
Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin
Non-conforming finite elements on polytopal meshes. CoRR (2020)
Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin
The Gradient Discretisation Method for Linear Advection Problems. Comput. Methods Appl. Math. 20 (3) (2020)
Jérôme Droniou, Robert Eymard, Alain Prignet, Kyle S. Talbot
Unified Convergence Analysis of Numerical Schemes for a Miscible Displacement Problem. Found. Comput. Math. 19 (2) (2019)
Wolfgang Arendt, Isabelle Chalendar, Robert Eymard
Galerkin Approximation In Banach and Hilbert Spaces. CoRR (2019)
Robert Eymard, Pierre Feron, Cindy Guichard
Family of convergent numerical schemes for the incompressible Navier-Stokes equations. Math. Comput. Simul. 144 (2018)
Paola F. Antonietti, Jérôme Droniou, Robert Eymard
An Eclectic View on Numerical Methods for PDEs: Presentation of the Special Issue "Advanced Numerical Methods: Recent Developments, Analysis and Applications". Comput. Methods Appl. Math. 18 (3) (2018)
Jérôme Droniou, Robert Eymard
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. Numerische Mathematik 132 (4) (2016)
Paul Deuring, Robert Eymard, Marcus Mildner
-Stability Independent of Diffusion for a Finite Element-Finite Volume Discretization of a Linear Convection-Diffusion Equation. SIAM J. Numer. Anal. 53 (1) (2015)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin
mixed finite elements for some nonlinear problems. Math. Comput. Simul. 118 (2015)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin, Alexander Linke
Finite volume schemes for the biharmonic problem on general meshes. Math. Comput. 81 (280) (2012)
Robert Eymard, Raphaèle Herbin, M. Rhoudaf
Approximation of the biharmonic problem using P1 finite elements. J. Num. Math. 19 (1) (2011)
O. Angelini, C. Chavant, Eric Chénier, Robert Eymard, S. Granet
Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage. Math. Comput. Simul. 81 (10) (2011)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché
Convergence of the MAC Scheme for the Compressible Stokes Equations. SIAM J. Numer. Anal. 48 (6) (2010)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin
Finite volume method. Scholarpedia 5 (6) (2010)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché
A convergent finite element-finite volume scheme for the compressible Stokes problem. Part II: the isentropic case. Math. Comput. 79 (270) (2010)
O. Angelini, C. Chavant, Eric Chénier, Robert Eymard
A Finite Volume Scheme for Diffusion Problems on General Meshes Applying Monotony Constraints. SIAM J. Numer. Anal. 47 (6) (2010)
Eric Chénier, Robert Eymard, Raphaèle Herbin
A collocated finite volume scheme to solve free convection for general non-conforming grids. J. Comput. Phys. 228 (6) (2009)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. J. Num. Math. 17 (3) (2009)
Robert Eymard, Sophie Mercier
Comparison of numerical methods for the assessment of production availability of a hybrid system. Reliab. Eng. Syst. Saf. 93 (1) (2008)
Robert Eymard, Raphaèle Herbin, Jean-Claude Latché
Convergence Analysis of a Colocated Finite Volume Scheme for the Incompressible Navier-Stokes Equations on General 2D or 3D Meshes. SIAM J. Numer. Anal. 45 (1) (2007)
Jérôme Droniou, Robert Eymard
A mixed finite volume scheme for anisotropic diffusion problems on any grid. Numerische Mathematik 105 (1) (2006)
Robert Eymard, Thierry Gallouët
Analytical and Numerical Study of a Model of Erosion and Sedimentation. SIAM J. Numer. Anal. 43 (6) (2006)
Robert Eymard, Danielle Hilhorst, Martin Vohralík
A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems. Numerische Mathematik 105 (1) (2006)
Guillaume Enchéry, Robert Eymard, Anthony Michel
Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces. SIAM J. Numer. Anal. 43 (6) (2006)
Robert Eymard, Jürgen Fuhrmann, Klaus Gärtner
A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local dirichlet problems. Numerische Mathematik 102 (3) (2006)
Robert Eymard, Thierry Gallouët, Véronique Gervais, Roland Masson
Convergence of a Numerical Scheme for Stratigraphic Modeling. SIAM J. Numer. Anal. 43 (2) (2005)
Robert Eymard, Thierry Gallouët
H-Convergence and Numerical Schemes for Elliptic Problems. SIAM J. Numer. Anal. 41 (2) (2003)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin, Anthony Michel
Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Numerische Mathematik 92 (1) (2002)
Robert Eymard, Thierry Gallouët, Raphaèle Herbin
Convergence of finite volume schemes for semilinear convection diffusion equations. Numerische Mathematik 82 (1) (1999)