We are interested in the resolution of an exterior Maxwell problem in 3D using a coupling between finite elements and integral representation. This strategy is interpreted as a Schwarz method which suggests a preconditioner for Krylov solvers. Numerical results confirm the relevance of the resolution scheme.
Nous nous intéressons à la résolution numérique du problème de Maxwell extérieur en 3D par la méthode de couplage entre éléments finis et représentations intégrales. Nous limitons notre étude au cas d'un obstacle de type conducteur parfait. Cette stratégie est interprétée comme une méthode de Schwarz qui suggère un préconditionneur pour les solveurs de Krylov. Par suite, nous menons une étude numérique pour valider la pertinence d'un tel choix.
Accepted:
Published online:
Éric Darrigrand 1; Nabil Gmati 2; Rania Rais 1, 2
@article{CRMATH_2014__352_4_311_0, author = {\'Eric Darrigrand and Nabil Gmati and Rania Rais}, title = {Schwarz method justification of a coupling between finite elements and integral representation for {Maxwell} exterior problem}, journal = {Comptes Rendus. Math\'ematique}, pages = {311--315}, publisher = {Elsevier}, volume = {352}, number = {4}, year = {2014}, doi = {10.1016/j.crma.2014.02.006}, language = {en}, }
TY - JOUR AU - Éric Darrigrand AU - Nabil Gmati AU - Rania Rais TI - Schwarz method justification of a coupling between finite elements and integral representation for Maxwell exterior problem JO - Comptes Rendus. Mathématique PY - 2014 SP - 311 EP - 315 VL - 352 IS - 4 PB - Elsevier DO - 10.1016/j.crma.2014.02.006 LA - en ID - CRMATH_2014__352_4_311_0 ER -
%0 Journal Article %A Éric Darrigrand %A Nabil Gmati %A Rania Rais %T Schwarz method justification of a coupling between finite elements and integral representation for Maxwell exterior problem %J Comptes Rendus. Mathématique %D 2014 %P 311-315 %V 352 %N 4 %I Elsevier %R 10.1016/j.crma.2014.02.006 %G en %F CRMATH_2014__352_4_311_0
Éric Darrigrand; Nabil Gmati; Rania Rais. Schwarz method justification of a coupling between finite elements and integral representation for Maxwell exterior problem. Comptes Rendus. Mathématique, Volume 352 (2014) no. 4, pp. 311-315. doi : 10.1016/j.crma.2014.02.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.02.006/
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