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Fast parallel solvers for symmetric boundary element domain decomposition equations. (English) Zbl 0907.65119
Fast solution techniques for boundary element equations utilizing non-overlapping domain decomposition methods. Parallel algorithms for solving large scale Galerkin equations in plane bounded domains with piecewise homogeneous material properties are studied. A spectral equivalence analysis of the boundary element Schur complement is given. This yields a tool for constructing appropriate preconditioners. Numerical results are obtained on a massively parallel machine using 128 processors. Applications to elasticity problems and to the coupling of these methods with finite elements are presented.

MSC:
65N38 Boundary element methods for boundary value problems involving PDEs
74S15 Boundary element methods applied to problems in solid mechanics
65F10 Iterative numerical methods for linear systems
65F35 Numerical computation of matrix norms, conditioning, scaling
35J25 Boundary value problems for second-order elliptic equations
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65Y05 Parallel numerical computation
74B05 Classical linear elasticity
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