ASYNCHRONOUS PARALLEL ALGORITHMS BASED ON DDM ON CM-5 (I) FOR SOLVING LINEAR ELLIPTIC PDE'S∗

Abstract

This is the first in a series of papers about asynchronous parallel algorithms based on domain decomposition method (DDM) for solving partial differential equations on MIMD machines, especially on CM-5. These algorithms are all called Schwarz-Chaotic Over Relaxation (S-COR), the generalization of the Schwarz Alternating Method. In this paper, the linear elliptic partial differential equations is discussed. Numerical results are presented to demonstrate the effectiveness of these decomposition algorithms on the Thinking Machines CM-5 parallel supercomputer.