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Parallel field computation based on coupling of differential and integral methods. (English) Zbl 0981.78011

Summary: This paper deals with the coupling of a parallelized differential (FEM) and a parallelized integral approach (BEM) under control of a master process within the framework of a preconditioned iterative solver. Applying a domain decomposition scheme splits the problem into separate FEM and BEM parts preserving the typical advantages of both methods. Therefore an independent parallelization with respect to the special properties of both methods is possible. The limitations that arise on sequential computers when performing 3D transient analysis of nonlinear eddy current problems especially with motion can be overcome with this approach. The parallel implementations are discussed with focus on a strategy that keeps substantial parts of the parallelization separated from the numerical algorithm. The numerical modelling of an electromagnetic valve is presented as an example.

MSC:

78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
78M15 Boundary element methods applied to problems in optics and electromagnetic theory

Software:

ScaLAPACK; PSPASES; BLAS
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Full Text: DOI

References:

[1] DOI: 10.1109/20.312640 · doi:10.1109/20.312640
[2] DOI: 10.1109/20.364626 · doi:10.1109/20.364626
[3] Joshi, M., Karypis, G., Kumar, V., Gupta, A. and Gustavson, F. (1999), ”PSPASES: scalable parallel direct solver library for sparse symmetric postive definite linear systems”, User’s Manual, http://www.cs.umn.edu/mjoshi/pspases. · Zbl 0945.65023
[4] DOI: 10.1109/20.717718 · doi:10.1109/20.717718
[5] Rischmüller, V., Fetzer, J., Haas, M., Kurz, S. and Rucker, W.M. (1998), ”Computational efficient BEM-FEM coupled analysis of 3D nonlinear eddy current problems using domain decomposition”, Proc. of the 8th International IGTE Symposium, Graz, Austria, pp. 391-6
[6] Rischmüller, V., Fetzer, J., Kurz, S. and Rucker, W.M. (1999), ”Analysis of TEAM workshop problem 13 using parallel BEM coupled to FEM”, Proc. of the International TEAM Workshop, Sapporo, Japan, to be published.
[7] DOI: 10.1109/20.877691 · doi:10.1109/20.877691
[8] DOI: 10.1137/0907058 · Zbl 0599.65018 · doi:10.1137/0907058
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