A mixed–FEM and BEM coupling for a three-dimensional eddy current problem

Salim Meddahi; Virginia Selgas

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 37, Issue: 2, page 291-318
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Meddahi, Salim, and Selgas, Virginia. "A mixed–FEM and BEM coupling for a three-dimensional eddy current problem." ESAIM: Mathematical Modelling and Numerical Analysis 37.2 (2010): 291-318. <http://eudml.org/doc/194164>.

@article{Meddahi2010,
abstract = { 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. },
author = {Meddahi, Salim, Selgas, Virginia},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Eddy–current; boundary element; mixed finite element.; 3D-eddy current problem; finite element method; boundary element method},
language = {eng},
month = {3},
number = {2},
pages = {291-318},
publisher = {EDP Sciences},
title = {A mixed–FEM and BEM coupling for a three-dimensional eddy current problem},
url = {http://eudml.org/doc/194164},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Meddahi, Salim
AU - Selgas, Virginia
TI - A mixed–FEM and BEM coupling for a three-dimensional eddy current problem
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 37
IS - 2
SP - 291
EP - 318
AB - 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.
LA - eng
KW - Eddy–current; boundary element; mixed finite element.; 3D-eddy current problem; finite element method; boundary element method
UR - http://eudml.org/doc/194164
ER -

References

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