performance study of the domain decomposition method with direct equation solver for parallel finite element analysis

摘要

A parallel performance of the domain decom- position method with direct LDU algorithm of condensa- tion and solution is studied. Typical subdomains arising after division of a square domain are considered, and operation count equations for all steps of the numerical procedure are derived. The parallel efficiency model is developed using operation count equations and message passing estimates. It is shown how to achieve inter- processor load balancing by partitioning a domain into unequal subdomains. The evaluation of the parallel effi- ciency model and performance studies for a square finite element domain are performed on the IBM SP2 computer with 4,6 and 8 processor nodes.