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Parallel solutions of large FEM-systems of equations and eigenvalue problems. (Parallele Lösungen großer FEM-Gleichungssysteme und Eigenwertprobleme.) (German) Zbl 0804.65115

In a very short discussion the idea of parallelizing a finite element method (FEM) computation by the concept of domain decomposition is considered. We demonstrate the finite element splitting of the stiffness and mass matrices and of the right hand side, so each preconditioned iterative method based on gradient directions requires exactly one date- exchange per step in a parallel computation on MIMD machines.
Reviewer: A.Meyer

MSC:

65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65F10 Iterative numerical methods for linear systems
65F15 Numerical computation of eigenvalues and eigenvectors of matrices
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