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Parallel computation of magnetic fields. (English) Zbl 0733.65082

The authors consider the problem of obtaining the magnetostatic field in a system wherein all magnetic material is in a simply connected domain which is surrounded by another domain containing conductors. A finite element approximation is used and an algorithm is indicated whereby the preconditioner for the entire problem is obtained with a set of overlapping subdomains whose union covers the complete domain.
The method proposed is valid for nonlinear magnetism and the results of two experiments on a particular system are reported. These show that the method proposed can result in a considerate speed up.

MSC:

65Z05 Applications to the sciences
65Y05 Parallel numerical computation
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65N38 Boundary element methods for boundary value problems involving PDEs
78A25 Electromagnetic theory (general)
86A25 Geo-electricity and geomagnetism
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References:

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