Preconditioners for the dual-primal FETI methods on nonmatching grids: Numerical study

被引：4

作者：

Chang, Yeon-Woo ^{[1
]}

Kim, Hyea Hyun

Lee, Chang-Ock

机构：

[1] Korea Adv Inst Sci & Technol, Div Appl Math, Taejon 305701, South Korea

[2] NYU, Courant Inst Math Sci, New York, NY 10012 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 51卷 / 05期

关键词：

FETI-DP; nonmatching grids; mortar matching condition; preconditioner;

D O I：

10.1016/j.camwa.2006.03.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The FETI-DP method is a substructuring method that uses Lagrange multipliers to match the continuity condition on the subdomain boundaries. For the FETI-DP method on nonmatching grids, two different formulations are known with respect to how to employ the mortar matching condition. Keeping step with the developments of the FETI-DP methods, a variety of preconditioners for the FETI-DP operator have been developed. However, there has not been any numerical study for the FETI-DP method, which compares those preconditioners on nonmatching grids while there have been a few papers for numerical study on the comparison of FETI preconditioners. Therefore, we present the numerical study of four different preconditioners for two-dimensional elliptic problems. The numerical results confirm the superiority of the preconditioner by Kim and Lee [1] for noncomparably nonmatching grids, while the superiority of the preconditioner by Dryja and Widlund [2] is confirmed for matching grids and comparably nonmatching grids. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：697 / 712

页数：16

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