Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions

Document Type

Article

Publication Date

1-1-2000

Abstract

Lower bounds for the condition numbers of the preconditioned systems are obtained for the Bramble-Pasciak-Schatz substructuring preconditioner and the Neumann-Neumann preconditioner in two dimensions. They show that the known upper bounds are sharp.

Publication Source (Journal or Book title)

Mathematics of Computation

First Page

1319

Last Page

1339

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