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A Neumann–Neumann algorithm for a mortar finite element discretization of fourth-order elliptic problems in 2D

✍ Scribed by Leszek Marcinkowski

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 168 KB
Volume: 25
Category: Article
ISSN: 0749-159X
DOI: 10.1002/num.20406

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✦ Synopsis

Abstract

Here we present and analyze a Neumann–Neumann algorithm for the mortar finite element discretization of elliptic fourth‐order problems with discontinuous coefficients. The fully parallel algorithm is analyzed using the abstract Schwarz framework, proving a convergence which is independent of the parameters of the problem, and depends only logarithmically on the ratio between the subdomain size and the mesh size.© 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009

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