DocumentCode :
873052
Title :
Edge-based BE-FE coupling for electromagnetics
Author :
Rain, Oliver ; Auchmann, Bernhard ; Kurz, Stefan ; Rischmüller, Volker ; Rjasanow, Sergej
Author_Institution :
Robert Bosch GmbH, Stuttgart
Volume :
42
Issue :
4
fYear :
2006
fDate :
4/1/2006 12:00:00 AM
Firstpage :
679
Lastpage :
682
Abstract :
Electromagnetic problems can be solved using the coupled boundary-element/finite-element (BE-FE) method, where the conducting and magnetic parts are discretized by finite elements and the surrounding space is described with the help of the boundary element method. In this paper, we propose a novel BE-FE coupling procedure for the solution of electromagnetic problems. Starting from the potential formulation we derive a representation formula in the BE domain in terms of differential forms. We discretize the corresponding boundary integral equation by the DeRham map which generalizes the classical point collocation and yields an alternative approach to the Galerkin BE method. The Cauchy data will be discretized by the first-order Whitney elements on the boundary. In the FE domain, we apply the Galerkin discretization scheme using the spatial first-order Whitney elements. The coupling of these methods will be described and the feasibility of the proposed method will be demonstrated by means of numerical examples
Keywords :
Galerkin method; boundary-elements methods; computational electromagnetics; finite element analysis; BE-FE method; Cauchy data; DeRham map; Galerkin BE method; boundary integral equation; computational electromagnetism; coupled boundary-element/finite-element method; edge elements; edge-based BE-FE coupling; electromagnetic problem; first-order Whitney elements; Boundary element methods; Conducting materials; Differential equations; Electromagnetic coupling; Finite element methods; Integral equations; Magnetic domains; Magnetic materials; Moment methods; Rain; Boundary-element/finite-element (BE-FE) coupling; computational electromagnetism; edge elements;
fLanguage :
English
Journal_Title :
Magnetics, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9464
Type :
jour
DOI :
10.1109/TMAG.2006.871376
Filename :
1608297
Link To Document :
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