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) no. 2, pp. 291-318.

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.

DOI : https://doi.org/10.1051/m2an:2003027
Classification : 65N30,  65N38,  65N15
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: Mathematical Modelling and Numerical Analysis - 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/}
}
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) no. 2, pp. 291-318. doi : 10.1051/m2an:2003027. http://www.numdam.org/articles/10.1051/m2an:2003027/

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