Abstract
Two parallel variants of the Schwarz alternating procedure for solving two-dimensional elliptic partial differential equations by using a decomposition of the domain into overlapping rectangles are presented. In each of these the SOR-algorithm is applied to the linear systems that arise from finite difference approximations in each subdomain. The convergence behaviour of the methods is examined and compared with the serial SOR-algorithm. Some numerical results, carried out on a CRAY X-MP with two processors, are presented.
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