[Modélisation et traitement numérique des conditions aux limites dans un problème des courants de Foucault]
L'objectif de cette Note est d'analyser une méthode d'éléments finis pour la résolution numérique du modèle des courants de Foucault. Nous étudions une formulation faible en termes de champ magnétique. Pour imposer des conditions aux limites réalistes d'un point de vue physique, nous introduisons un multiplicateur de Lagrange défini sur la frontière du domaine et nous étudions la formulation mixte correspondante, en utilisant des techniques classiques.
The aim of this paper is to analyze a finite element method to solve the eddy currents model in a bounded conductor domain. In particular we study a weak formulation in terms of the magnetic field. In order to impose suitable boundary conditions from a physical point of view, we introduce a Lagrange multiplier defined on the boundary and study the resulting mixed formulation by using classical techniques.
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@article{CRMATH_2002__335_7_633_0,
author = {Berm\'udez, Alfredo and Rodr{\i}́guez, Rodolfo and Salgado, Pilar},
title = {Modeling and numerical treatment of boundary data in an eddy currents problem},
journal = {Comptes Rendus. Math\'ematique},
pages = {633--638},
publisher = {Elsevier},
volume = {335},
number = {7},
year = {2002},
doi = {10.1016/S1631-073X(02)02536-0},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/S1631-073X(02)02536-0/}
}
TY - JOUR AU - Bermúdez, Alfredo AU - Rodrı́guez, Rodolfo AU - Salgado, Pilar TI - Modeling and numerical treatment of boundary data in an eddy currents problem JO - Comptes Rendus. Mathématique PY - 2002 SP - 633 EP - 638 VL - 335 IS - 7 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(02)02536-0/ DO - 10.1016/S1631-073X(02)02536-0 LA - en ID - CRMATH_2002__335_7_633_0 ER -
%0 Journal Article %A Bermúdez, Alfredo %A Rodrı́guez, Rodolfo %A Salgado, Pilar %T Modeling and numerical treatment of boundary data in an eddy currents problem %J Comptes Rendus. Mathématique %D 2002 %P 633-638 %V 335 %N 7 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(02)02536-0/ %R 10.1016/S1631-073X(02)02536-0 %G en %F CRMATH_2002__335_7_633_0
Bermúdez, Alfredo; Rodrı́guez, Rodolfo; Salgado, Pilar. Modeling and numerical treatment of boundary data in an eddy currents problem. Comptes Rendus. Mathématique, Tome 335 (2002) no. 7, pp. 633-638. doi : 10.1016/S1631-073X(02)02536-0. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02536-0/
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