The T– 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 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.
Accepted:
Published online:
Yvon Maday 1; Francesca Rapetti 2; Barbara I. Wohlmuth 3
@article{CRMATH_2002__334_10_933_0, author = {Yvon Maday and Francesca Rapetti and Barbara I. Wohlmuth}, title = {Coupling between scalar and vector potentials by the mortar element method}, journal = {Comptes Rendus. Math\'ematique}, pages = {933--938}, publisher = {Elsevier}, volume = {334}, number = {10}, year = {2002}, doi = {10.1016/S1631-073X(02)02353-1}, language = {en}, }
TY - JOUR AU - Yvon Maday AU - Francesca Rapetti AU - Barbara I. Wohlmuth TI - Coupling between scalar and vector potentials by the mortar element method JO - Comptes Rendus. Mathématique PY - 2002 SP - 933 EP - 938 VL - 334 IS - 10 PB - Elsevier DO - 10.1016/S1631-073X(02)02353-1 LA - en ID - CRMATH_2002__334_10_933_0 ER -
Yvon Maday; Francesca Rapetti; Barbara I. 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. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02353-1/
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[2] A new nonconforming approach to domain decomposition: The mortar element method (H. Brezis; J. Lions, eds.), Nonlinear Partial Differential Equations and Their Applications, Pitman, 1994, pp. 13-51
[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
[4] Mixed finite elements in , Numer. Math., Volume 35 (1980), pp. 315-341
[5] Discretization Methods and Iterative Solvers Based on Domain Decomposition, Lecture Notes in Comput. Sci. and Engrg., 17, Springer, 2001
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