Coupling between scalar and vector potentials by the mortar element method
Comptes Rendus. Mathématique, Volume 334 (2002) no. 10, pp. 933-938.

The TΩ 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.

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.

Received:
Accepted:
DOI: 10.1016/S1631-073X(02)02353-1
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
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Maday, Yvon; Rapetti, Francesca; Wohlmuth. Coupling between scalar and vector potentials by the mortar element method. Comptes Rendus. Mathématique, Volume 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/

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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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