Discrete compactness for a discontinuous Galerkin approximation of Maxwell's system

Creusé, Emmanuel; Nicaise, Serge

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1051/m2an:2006017

Title :

Discrete compactness for a discontinuous Galerkin approximation of Maxwell's system

Author(s) :

Creusé, Emmanuel [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Nicaise, Serge [Auteur]
Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015 [LAMAV]

Journal title :

ESAIM: Mathematical Modelling and Numerical Analysis

Pages :

413-430

Publisher :

EDP Sciences

Publication date :

2006

ISSN :

0764-583X

English keyword(s) :

DG method
Maxwell’s system
discrete compactness
eigenvalue approximation

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]

English abstract : [en]

In this paper we prove the discrete compactness property for a discontinuous Galerkin approximation of Maxwell's system on quite general tetrahedral meshes. As a consequence, a discrete Friedrichs inequality is obtained ...
Show more >In this paper we prove the discrete compactness property for a discontinuous Galerkin approximation of Maxwell's system on quite general tetrahedral meshes. As a consequence, a discrete Friedrichs inequality is obtained and the convergence of the discrete eigenvalues to the continuous ones is deduced using the theory of collectively compact operators. Some numerical experiments confirm the theoretical predictions.Show less >

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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