Stability of finite volume schemes for ...
Document type :
Rapport de recherche: Autre communication scientifique (congrès sans actes - poster - séminaire...)
Title :
Stability of finite volume schemes for hyperbolic systems in two space dimensions
Author(s) :
Coulombel, Jean-François [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Institution :
CNRS
Publication date :
2006-03-07
English keyword(s) :
Hyperbolic systems
Lax-Friedrichs flux
stability
finite volume schemes
Lax-Friedrichs flux
stability
finite volume schemes
HAL domain(s) :
Mathématiques [math]/Analyse numérique [math.NA]
English abstract : [en]
We study the stability of finite volume schemes for symmetric hyperbolic systems in two space dimensions, with the Lax-Friedrichs flux. We first show a sufficient condition for the L2-stability of the scheme on a general ...
Show more >We study the stability of finite volume schemes for symmetric hyperbolic systems in two space dimensions, with the Lax-Friedrichs flux. We first show a sufficient condition for the L2-stability of the scheme on a general triangulation. Then we show that this stability condition can be improved when the triangulation is composed of equilateral triangles.Show less >
Show more >We study the stability of finite volume schemes for symmetric hyperbolic systems in two space dimensions, with the Lax-Friedrichs flux. We first show a sufficient condition for the L2-stability of the scheme on a general triangulation. Then we show that this stability condition can be improved when the triangulation is composed of equilateral triangles.Show less >
Language :
Anglais
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