Fast Poisson Solver on Irregular Regions by Boundary Integral-Based Domain Decomposition Methods

摘要

A method for a fast solution of the Poisson equation on irregular regions is proposed. The method, which may be called the Boundary Integral-based Domain Decomposition (BIDD) method, seems to be particularly efficient for parallel processing of large scale boundary value problems. For instance, in a hierachical multiprocessor system like the Cedar architecture, each cluster and each processor of a cluster can solve an independent subproblem resulting from the BIDD approach. 13 refs. (ERA citation 13:018111)