A mixed-FEM and BEM coupling for a three-dimensional eddy current problem
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 37 (2003) no. 2, pp. 291-318.

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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 : 10.1051/m2an:2003027
Classification : 65N30, 65N38, 65N15
Mots-clés : Eddy-current, boundary element, mixed finite element 
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     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 },
     pages = {291--318},
     publisher = {EDP-Sciences},
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     number = {2},
     year = {2003},
     doi = {10.1051/m2an:2003027},
     zbl = {1031.78012},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003027/}
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Meddahi, Salim; Selgas, Virginia. A mixed-FEM and BEM coupling for a three-dimensional eddy current problem. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 37 (2003) no. 2, pp. 291-318. doi : 10.1051/m2an:2003027. https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003027/

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