Title :

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

Author(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]

Journal title :

Calcolo

Pages :

249-271

Publisher :

Springer Verlag

Publication date :

2003

ISSN :

0008-0624

English keyword(s) :

Error Estimation
Theoretical Result
Maxwell Equation
Numerical Test
Error Estimator

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL