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.
Mots clés : Eddy-current, boundary element, mixed finite element
@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: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {291--318},
publisher = {EDP-Sciences},
volume = {37},
number = {2},
year = {2003},
doi = {10.1051/m2an:2003027},
zbl = {1031.78012},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an:2003027/}
}
TY - JOUR AU - Meddahi, Salim AU - Selgas, Virginia TI - A mixed-FEM and BEM coupling for a three-dimensional eddy current problem JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2003 SP - 291 EP - 318 VL - 37 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2003027/ DO - 10.1051/m2an:2003027 LA - en ID - M2AN_2003__37_2_291_0 ER -
%0 Journal Article %A Meddahi, Salim %A Selgas, Virginia %T A mixed-FEM and BEM coupling for a three-dimensional eddy current problem %J ESAIM: Modélisation mathématique et analyse numérique %D 2003 %P 291-318 %V 37 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2003027/ %R 10.1051/m2an:2003027 %G en %F M2AN_2003__37_2_291_0
Meddahi, Salim; Selgas, Virginia. A mixed-FEM and BEM coupling for a three-dimensional eddy current problem. ESAIM: Modélisation mathématique et analyse numérique, Tome 37 (2003) no. 2, pp. 291-318. doi : 10.1051/m2an:2003027. http://www.numdam.org/articles/10.1051/m2an:2003027/
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