13 citations · 13 across the 5 of their papers we have counts for
5 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…
Convergence of the implicit MAC-discretized Navier--Stokes equations with variable density and viscosity on non-uniform grids
Léa Batteux, Thierry Gallouët, Raphaele Herbin +2
The present paper is focused on the proof of the convergence of the discrete implicit Marker-and-Cell (MAC) scheme for time-dependent Navier--Stokes equations with variable density…
A convergent Finite Element-Finite Volume scheme for the compressible Stokes problem Part I -- the isothermal case
Thierry Gallouët, Raphaele Herbin, Jean-Claude Latché
In this paper, we propose a discretization for the (nonlinearized) compressible Stokes problem with a linear equation of state , based on Crouzeix-Raviart elements. The approx…
An unconditionnally stable pressure correction scheme for compressible barotropic Navier-Stokes equations
Thierry Gallouët, Laura Gastaldo, Jean-Claude Latché +1
We present in this paper a pressure correction scheme for barotropic compressible Navier-Stokes equations, which enjoys an unconditional stability property, in the sense that the e…