31 citations · 37 across the 9 of their papers we have counts for
12 papers
The omnidirectional trace in H 1 ()
Robert Eymard, Thierry Gallouët, David Maltese +1
We first prove that all the functions in L 2 whose directional derivative is in L 2 have a directional trace on the boundary of any open bounded domain, without assumptions on its…
Trace operator on H 1 () for general open bounded domains
Robert Eymard, Thierry Gallouët, David Maltese +1
In the case of any bounded open set R d with boundary , we first construct a directional trace in any direction of the unit sphere, for any u L…
Global asymptotic expansion for anisotropic singularly perturbed elliptic problems
David Maltese, Chokri Ogabi
In this paper, we study some anisotropic singular perturbations for a class of linear elliptic problems. We show a global asymptotic expansion of the solution in certain functional…
Uniform estimates for conforming Galerkin method for anisotropic singularly perturbed elliptic problems
David Maltese, Chokri Ogabi
In this article, we study some anisotropic singular perturbations for a class of linear elliptic problems. A uniform estimates for conforming finite element method are derive…
Convergence of the incremental projection method using conforming approximations
Robert Eymard, David Maltese
We prove the convergence of an incremental projection numerical scheme for the time-dependent incompressible Navier--Stokes equations, without any regularity assumption on the weak…
Convergence of the fully discrete incremental projection scheme for incompressible flows
Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché +1
The present paper addresses the convergence of a first order in time incremental projection scheme for the time-dependent incompressible Navier-Stokes equations to a weak solution,…
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…
On some new results on anisotropic singular perturbations of second order elliptic operators
David Maltese, Chokri Ogabi
In this article, we deal with some problems involving a class of singularly perturbed elliptic operator. We prove the asymptotic preserving of a general Galerkin method associated…
Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations
Thierry Gallouet, Raphaele Herbin, Jean-Claude Latché +1
We prove in this paper the convergence of the Marker and Cell (MAC) scheme for the discretization of the steady state compressible and isentropic Navier-Stokes equations on two or…
Existence of weak solutions for compressible Navier-Stokes equations with entropy transport
David Maltese, Martin Michalek, Piotr B. Mucha +3
We consider the compressible Navier-Stokes system with variable entropy. The pressure is a nonlinear function of the density and the entropy/potential temperature which, unlike in…
Error estimates for a numerical method for the compressible Navier-Stokes system on sufficiently smooth domains
Eduard Feireisl, Radim Hošek, David Maltese +1
We derive an a priori error estimate for the numerical solution obtained by time and space discretization by the finite volume/finite element method of the barotropic Navier--Stoke…
Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations
Thierry Gallouet, Raphaele Herbin, David Maltese +1
We present here a general method based on the investigation of the relative energy of the system, that provides an unconditional error estimate for the approximate solution of the…