Abstract
The hierarchical domain decomposition method (HDDM) is a solver for large scale algebraic equations in the finite element method. It is suitable for various kinds of parallel computers such as massively parallel processors (MPP) and workstation/PC clusters. In this study, the original HDDM is first modified to improve computation speed, and then applied to static elastic-plastic finite element analyses. Some key techniques employed in the static nonlinear finite element analysis are presented. As illustrative examples, the parallel elastic-plastic analyses are performed on a nuclear structure with 1.3 millions degrees of freedom and a cube with ten millions degrees of freedom. It is shown that both the conjugate gradient method used in the HDDM and the Newton Raphson method are successfully converged, respectively, in the two examples.
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