53 citations · 55 across the 3 of their papers we have counts for
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Optimal error bounds for the two point flux approximation finite volume scheme
Robert Eymard, Thierry Gallouët, Raphaele Herbin
We consider a finite volume scheme with two-point flux approximation (TPFA) to approximate a Laplace problem when the solution exhibits no more regularity than belonging to $H^1_0(…
An entropy preserving finite-element/finite-volume pressure correction scheme for the drift-flux model
Laura Gastaldo, Raphaele Herbin, Jean-Claude Latché
We present in this paper a pressure correction scheme for the drift-flux model combining finite element and finite volume discretizations, which is shown to enjoy essential stabili…
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…
Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2 or 3D meshes
Robert Eymard, Raphaele Herbin, Jean-Claude Latché
We study a colocated cell centered finite volume method for the approximation of the incompressible Navier-Stokes equations posed on a 2D or 3D finite domain. The discrete unknowns…