Modeling and numerical treatment of boundary data in an eddy currents problem

Alfredo Bermúdez; Rodolfo Rodrı́guez; Pilar Salgado

doi:10.1016/S1631-073X(02)02536-0

Modeling and numerical treatment of boundary data in an eddy currents problem
[Modélisation et traitement numérique des conditions aux limites dans un problème des courants de Foucault]

Alfredo Bermúdez ¹ ; Rodolfo Rodrı́guez ² ; Pilar Salgado ¹

¹ Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, 15706, Santiago de Compostela, Spain
² GI

Comptes Rendus. Mathématique, Volume 335 (2002) no. 7, pp. 633-638.

Résumé
Abstract

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.

Reçu le : 2002-07-20
Accepté le : 2002-07-31
Publié le : 2002-09-11

DOI : 10.1016/S1631-073X(02)02536-0

Affiliations des auteurs :

Alfredo Bermúdez ¹ ; Rodolfo Rodrı́guez ² ; Pilar Salgado ¹

¹ Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, 15706, Santiago de Compostela, Spain
² GI

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     author = {Alfredo Berm\'udez and Rodolfo Rodr{\i}́guez and Pilar Salgado},
     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},
}

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Alfredo Bermúdez; Rodolfo Rodrı́guez; Pilar Salgado. Modeling and numerical treatment of boundary data in an eddy currents problem. Comptes Rendus. Mathématique, Volume 335 (2002) no. 7, pp. 633-638. doi : 10.1016/S1631-073X(02)02536-0. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02536-0/

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