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Symmetric coupling of finite and boundary elements for exterior magnetic field problems

✍ Scribed by M. Kuhn; O. Steinbach

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
242 KB
Volume
25
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We consider a coupled finite element (fe)–boundary element (be) approach for three‐dimensional magnetic field problems. The formulation is based on a vector potential in a bounded domain (fe) and a scalar potential in an unbounded domain (be). We describe a coupled variational problem yielding a unique solution where the constraints in the trial spaces are replaced by appropriate side conditions. Then we discuss a Galerkin discretization of the coupled problem and prove a quasi‐optimal error estimate. Finally we discuss an efficient preconditioned iterative solution strategy for the resulting linear system. Copyright Β© 2002 John Wiley & Sons, Ltd.

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