Title

Two-level additive Schwarz preconditioners for C0 interior penalty methods

Document Type

Article

Publication Date

12-1-2005

Abstract

We study two-level additive Schwarz preconditioners that can be used in the iterative solution of the discrete problems resulting from C interior penalty methods for fourth order elliptic boundary value problems. We show that the condition number of the preconditioned system is bounded by C(1+(H /δ )), where H is the typical diameter of a subdomain, δ measures the overlap among the subdomains and the positive constant C is independent of the mesh sizes and the number of subdomains. 0 3 3

Publication Source (Journal or Book title)

Numerische Mathematik

First Page

231

Last Page

255

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