Meyer, A. Parallel solutions of large FEM-systems of equations and eigenvalue problems. (Parallele Lösungen großer FEM-Gleichungssysteme und Eigenwertprobleme.) (German) Zbl 0804.65115 Z. Angew. Math. Mech. 74, No. 6, T544-T545 (1994). 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 Keywords:eigenvalue problems; finite element method; domain decomposition; preconditioned iterative method; gradient directions; parallel computation; MIMD machines PDFBibTeX XMLCite \textit{A. Meyer}, Z. Angew. Math. Mech. 74, No. 6, T544--T545 (1994; Zbl 0804.65115)