Authors
James H Bramble, Joseph E Pasciak, Jun Ping Wang, Jinchao Xu
Publication date
1991
Journal
Mathematics of Computation
Volume
57
Issue
195
Pages
1-21
Description
In this paper, we consider iterative methods for the solution of symmetric positive definite problems on a space which are defined in terms of products of operators defined with respect to a number of subspaces. The simplest algorithm of this sort has an error-reducing operator which is the product of orthogonal projections onto the complement of the subspaces. New norm-reduction estimates for these iterative techniques will be presented in an abstract setting. Applications are given for overlapping Schwarz algorithms with many subregions for finite element approximation of second-order elliptic problems. References
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Scholar articles
JH Bramble, JE Pasciak, JP Wang, J Xu - Mathematics of Computation, 1991