The block stride reduction (B.S.R.) alogrithm with application to domain decomposition methods

摘要

In this paper we consider the applciation of the Block Stride Reduction algorithm for the solution off separable self-adjoint elliptic equations on rectangular domains.non-overlappin domain decomposition techniques are applied to reduce the differential operator to block diagonally bordered linear systmew which cna then b esolved by the Preconditioed Conjugate Gradient method.Finally,a new preconditioner for such systems is outlined.