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Three-dimensional computation of a magnetic field by mixed finite elements and boundary elements

✍ Scribed by J. Laminie; S.M. Mefire


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
187 KB
Volume
35
Category
Article
ISSN
0168-9274

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✦ Synopsis


We are concerned with the three-dimensional magnetostatic problem where the nonhomogeneities and the source are confined to a bounded domain. We derive a mixed formulation of this problem whose unknowns are the magnetic field, a current vector potential which is introduced as an auxiliary unknown, and a boundary unknown which results from the boundary integral method. This formulation is an improvement with respect to previous formulations proposed in the literature in the sense that it leads to an easier implementation using NΓ©dΓ©lec's edge elements and boundary elements, and to good numerical accuracy. Some numerical results are described and compared with those obtained by using the classical formulation in scalar potential.


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## 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 y