A posteriori error estimation for the ...
Document type :
Compte-rendu et recension critique d'ouvrage
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]
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
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]
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 >
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
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