Titre :

A posteriori error estimation for the heterogeneous Maxwell equations on isotropic and anisotropic meshes

Auteur(s) :

Nicaise, Serge [Auteur]
Laboratoire de Mathématiques Appliquées au Calcul Scientifique - EA 3337 [MACS]
Creusé, Emmanuel [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Laboratoire de Mathématiques Appliquées au Calcul Scientifique - EA 3337 [MACS]

Titre de la revue :

Calcolo

Pagination :

249-271

Éditeur :

Springer Verlag

Date de publication :

2003

ISSN :

0008-0624

Mot(s)-clé(s) en anglais :

Error Estimation
Theoretical Result
Maxwell Equation
Numerical Test
Error Estimator

Discipline(s) HAL :

Mathématiques [math]/Analyse numérique [math.NA]
Mathématiques [math]/Equations aux dérivées partielles [math.AP]

Résumé en anglais : [en]

We consider residual-based a posteriori error estimators for the heterogeneous Maxwell equations using isotropic as well as anisotropic meshes. The continuous problem is approximated by using conforming approximated spaces ...
Lire la suite >We consider residual-based a posteriori error estimators for the heterogeneous Maxwell equations using isotropic as well as anisotropic meshes. The continuous problem is approximated by using conforming approximated spaces with minimal assumptions. Lower and upper bounds are obtained under standard assumptions on the meshes. The lower bound holds unconditionally, while the upper bound depends on alignment properties of the meshes with respect to the solution. In particular for isotropic meshes the upper bound also holds unconditionally. A numerical test is presented which confirms our theoretical results.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL