We study in this paper the electromagnetic field generated in a conductor by an alternating current density. The resulting interface problem (see Bossavit (1993)) between the metal and the dielectric medium is treated by a mixed-FEM and BEM coupling method. We prove that our BEM-FEM formulation is well posed and that it leads to a convergent Galerkin method.
@article{M2AN_2003__37_2_291_0, author = {Meddahi, Salim and Selgas, Virginia}, title = {A mixed-FEM and BEM coupling for a three-dimensional eddy current problem}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {37}, year = {2003}, pages = {291-318}, doi = {10.1051/m2an:2003027}, zbl = {1031.78012}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_2003__37_2_291_0} }
Meddahi, Salim; Selgas, Virginia. A mixed-FEM and BEM coupling for a three-dimensional eddy current problem. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 37 (2003) pp. 291-318. doi : 10.1051/m2an:2003027. http://gdmltest.u-ga.fr/item/M2AN_2003__37_2_291_0/
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