Robert Eymard

Orcid: 0000-0002-6035-0104

According to our database1, Robert Eymard authored at least 40 papers between 1999 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

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Bibliography

2024
Convergence of the Incremental Projection Method Using Conforming Approximations.
Comput. Methods Appl. Math., July, 2024

Optimal error bounds for the two point flux approximation finite volume scheme.
CoRR, 2024

2023
A monotone numerical flux for quasilinear convection diffusion equation.
Math. Comput., August, 2023

Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity.
CoRR, 2023

Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions.
CoRR, 2023

2022
Extensions of derivations and symmetric operators.
CoRR, 2022

A new convergence proof for approximations of the Stefan problem.
CoRR, 2022

2021
Finite volume schemes and Lax-Wendroff consistency.
CoRR, 2021

Exact pressure elimination for the Crouzeix-Raviart scheme applied to the Stokes and Navier-Stokes problems.
CoRR, 2021

2020
High-order Mass-lumped Schemes for Nonlinear Degenerate Elliptic Equations.
SIAM J. Numer. Anal., 2020

Non-conforming finite elements on polytopal meshes.
CoRR, 2020

A Class of Collocated Finite Volume Schemes for Incompressible Flow Problems.
CoRR, 2020

The Gradient Discretisation Method for Linear Advection Problems.
Comput. Methods Appl. Math., 2020

2019
Unified Convergence Analysis of Numerical Schemes for a Miscible Displacement Problem.
Found. Comput. Math., 2019

Galerkin Approximation In Banach and Hilbert Spaces.
CoRR, 2019

2018
Family of convergent numerical schemes for the incompressible Navier-Stokes equations.
Math. Comput. Simul., 2018

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., 2018

2016
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations.
Numerische Mathematik, 2016

2015
L<sup>2</sup>-Stability Independent of Diffusion for a Finite Element-Finite Volume Discretization of a Linear Convection-Diffusion Equation.
SIAM J. Numer. Anal., 2015

RT<sub>k</sub> mixed finite elements for some nonlinear problems.
Math. Comput. Simul., 2015

2012
Finite volume schemes for the biharmonic problem on general meshes.
Math. Comput., 2012

2011
Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage.
Math. Comput. Simul., 2011

Approximation of the biharmonic problem using P1 finite elements.
J. Num. Math., 2011

2010
Convergence of the MAC Scheme for the Compressible Stokes Equations.
SIAM J. Numer. Anal., 2010

A Finite Volume Scheme for Diffusion Problems on General Meshes Applying Monotony Constraints.
SIAM J. Numer. Anal., 2010

Finite volume method.
Scholarpedia, 2010

A convergent finite element-finite volume scheme for the compressible Stokes problem. Part II: the isentropic case.
Math. Comput., 2010

2009
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids.
J. Num. Math., 2009

A collocated finite volume scheme to solve free convection for general non-conforming grids.
J. Comput. Phys., 2009

2008
Comparison of numerical methods for the assessment of production availability of a hybrid system.
Reliab. Eng. Syst. Saf., 2008

2007
Convergence Analysis of a Colocated Finite Volume Scheme for the Incompressible Navier-Stokes Equations on General 2D or 3D Meshes.
SIAM J. Numer. Anal., 2007

2006
Analytical and Numerical Study of a Model of Erosion and Sedimentation.
SIAM J. Numer. Anal., 2006

Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces.
SIAM J. Numer. Anal., 2006

A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems.
Numerische Mathematik, 2006

A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local dirichlet problems.
Numerische Mathematik, 2006

A mixed finite volume scheme for anisotropic diffusion problems on any grid.
Numerische Mathematik, 2006

2005
Convergence of a Numerical Scheme for Stratigraphic Modeling.
SIAM J. Numer. Anal., 2005

2003
H-Convergence and Numerical Schemes for Elliptic Problems.
SIAM J. Numer. Anal., 2003

2002
Convergence of a finite volume scheme for nonlinear degenerate parabolic equations.
Numerische Mathematik, 2002

1999
Convergence of finite volume schemes for semilinear convection diffusion equations.
Numerische Mathematik, 1999


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