Coupling between scalar and vector potentials by the mortar element method

Maday, Yvon; Rapetti, Francesca; Wohlmuth

doi:10.1016/S1631-073X(02)02353-1

Coupling between scalar and vector potentials by the mortar element method
[Couplage entre potentiels scalaire et vecteur par la méthode des éléments joints]

Maday, Yvon ¹ ; Rapetti, Francesca ² ; Wohlmuth ³

¹ Laboratoire J.-L. Lions, CNRS & Université Pierre-et-Marie-Curie, boîte 187, 75252 Paris cedex 05, France
² Laboratoire des mathématiques J.-A. Dieudonné, CNRS & Université de Nice et Sophia-Antipolis, Parc Valrose, 06108 Nice cedex 02, France
³ Universität Stuttgart, Mathematisches Institut A, Lehrstuhl 7, Pfaffenwaldring 57, 70569 Stuttgart, Germany

Comptes Rendus. Mathématique, Tome 334 (2002) no. 10, pp. 933-938.

Résumé
Abstract

La formulation $T - Ω$ pour le champ magnétique est largement utilisée en magnétodynamique. Elle permet d'utiliser une fonction scalaire dans tout le domaine de calcul et une quantité vectorielle seulement dans les conducteurs. On propose ici d'approcher ces deux quantités sur des maillages différents et de les coupler par la méthode des éléments avec joints.

The T– $Ω$ formulation of the magnetic field is widely used in magnetodynamics. It allows the use of a scalar function in the computational domain and a vector quantity only in the conducting parts. Here we propose to approximate these two quantities on different meshes and to couple them by means of the mortar element method.

Reçu le : 2002-02-20
Accepté le : 2002-03-04

DOI : 10.1016/S1631-073X(02)02353-1

Affiliations des auteurs :

Maday, Yvon ¹ ; Rapetti, Francesca ² ; Wohlmuth ³

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     title = {Coupling between scalar and vector potentials by the mortar element method},
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Maday, Yvon; Rapetti, Francesca; Wohlmuth. Coupling between scalar and vector potentials by the mortar element method. Comptes Rendus. Mathématique, Tome 334 (2002) no. 10, pp. 933-938. doi : 10.1016/S1631-073X(02)02353-1. http://www.numdam.org/articles/10.1016/S1631-073X(02)02353-1/

Bibliographie
Cité par

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[3] Y. Maday, F. Rapetti, I.B. Wohlmuth, Mortar element coupling between global scalar and local vector potentials to solve eddy current problems, Enumath Conference Proceedings, Springer, 2002, to appear

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[5] Wohlmuth, I.B. Discretization Methods and Iterative Solvers Based on Domain Decomposition, Lecture Notes in Comput. Sci. and Engrg., 17, Springer, 2001

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