Abstract

In order to analyze large scale and complex problems in limited processing time, a parallel finite element system is developed on a massively parallel computer called the nCUBE2 consisting of 128 processing units. Adopted for a parallel numerical algorithm for the finite element analysis is the domain decomposition method (DDM) combined with an iterative solver, i.e. the conjugate gradient (CG) method, where a whole analysis domain is fictitiously divided into a number of subdomains without overlapping. The finite element analyses of the subdomains are performed under the constraint of both displacement continuity and force equivalence among subdomains. Such a constraint can be satisfied through iterative calculation, i.e. the CG method. The present DDM-based parallel finite element algorithm is combined with a hierarchical model for data and processor management to have the workload balanced dynamically among the processors. The present system is successfully applied to a 3D structural problem with a high parallel of more than 90%.

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