Analysis of two-dimensional FETI-DP preconditioners by the standard additive Schwarz framework

Document Type

Article

Publication Date

12-1-2003

Abstract

FETI-DP preconditioners for two-dimensional elliptic boundary value problems with heterogeneous coefficients are analyzed by the standard additive Schwarz framework. It is shown that the condition number of the preconditioned system for both second order and fourth order problems is bounded by C(1 + ln(H/h)) , where H is the maximum of the diameters of the subdomains, h is the mesh size of a quasiuniform triangulation, and the positive constant C is independent of h, H, the number of subdomains and the coefficients of the boundary value problems on the subdomains. The sharpness of the bound for second order problems is also established. 2

Publication Source (Journal or Book title)

Electronic Transactions on Numerical Analysis

First Page

165

Last Page

185

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