A two-level additive Schwarz preconditioner for the stationary Stokes equations

Document Type

Article

Publication Date

12-1-1995

Abstract

We consider the stationary Stokes equations on a polygonal domain whose boundary has more than one component, i.e., flow with obstacles. A two-level additive Schwarz preconditioner is developed for the divergence-free nonconforming P1 finite element. The condition number of the preconditioned system is shown to be bounded independent of mesh sizes and the number of subdomains in the case of generous overlap. © 1995 J.C. Baltzer AG, Science Publishers.

Publication Source (Journal or Book title)

Advances in Computational Mathematics

First Page

111

Last Page

126

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