Convergent finite element methods for compressible barotropic Stokes systems

We propose finite element methods for compressible barotropic Stokes systems. We state convergence results for these methods and outline their proofs. The principal tools of the proofs are higher integrability estimates for the discrete density, equations for the discrete effective viscous flux, and...

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Bibliographic Details
Main Authors Karlsen, Kenneth H, Karper, Trygve K
Format Journal Article
LanguageEnglish
Published 19.12.2008
Subjects
Mathematics - Analysis of PDEs
Mathematics - Numerical Analysis
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Summary:We propose finite element methods for compressible barotropic Stokes systems. We state convergence results for these methods and outline their proofs. The principal tools of the proofs are higher integrability estimates for the discrete density, equations for the discrete effective viscous flux, and renormalized formulations of the numerical method for the density equation.
DOI:10.48550/arxiv.0812.3851