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20152026
most citedExistence of weak solutions for compressible Navier-Stokes equations with entropy transport

31 citations · 37 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.NA2023

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…

math.NA2023

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…

math.NA2022★ 4 cited

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,…

math.NA2016★ 1 cited

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…

math.NA2015

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…

math.NA2015

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…