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Two-level additive Schwarz preconditioners for plate elements
Authors:Susanne C. Brenner
Affiliation:1. Department of Mathematics, University of South Carolina, 29208, Columbia, SC, USA
Abstract:We present a theory of two-level additive Schwarz preconditioners for plate elements. It is applicable to the cases where the finite element spaces on the two levels are (I) conforming and nested, (II) conforming and nonnested, and (III) nonconforming and nonnested. The condition number of the preconditioned system is independent of the mesh sizes and the number of subdomains in the case of generous overlap.
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