9 papers
Weighted p--Laplace approximation of linear and quasi-linear elliptic problems with measure data
Robert Eymard, David Maltese, Alain Prignet
We approximate the solution to some linear and degenerate quasi-linear problem involving a linear elliptic operator (like the semi-discrete in time implicit Euler approximation of…
Lions' representation theorem and applications
Wolfgang Arendt, Isabelle Chalendar, Robert Eymard
The Representation Theorem of Lions (RTL) is a version of the Lax--Milgram Theorem where completeness of one of the spaces is not complete. In this paper, RTL is deduced from an op…
Exact pressure elimination for the Crouzeix-Raviart scheme applied to the Stokes and Navier-Stokes problems
Eric Chénier, Robert Eymard
We show that, using the Crouzeix-Raviart scheme, a cheap algebraic transformation, applied to the coupled velocity-pressure linear systems issued from the transient or steady Stoke…
Non-conforming finite elements on polytopal meshes
Jerome Droniou, Robert Eymard, Thierry Gallouet +1
In this work we present a generic framework for non-conforming finite elements on polytopal meshes, characterised by elements that can be generic polygons/polyhedra. We first prese…
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations
Jerome Droniou, Robert Eymard
Gradient schemes is a framework that enables the unified convergence analysis of many numerical methods for elliptic and parabolic partial differential equations: conforming and no…
A Class of Collocated Finite Volume Schemes for Incompressible Flow Problems
R. Eymard, R. Herbin, J. -C Latché +1
In this paper, we present a class of finite volume schemes for incompressible flow problems. The unknowns are collocated at the center of the control volumes, and the stability of…