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

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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.
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
2006-03
Language
English
Article Type
Article; Proceedings Paper
Citation

COMPUTERS & MATHEMATICS WITH APPLICATIONS, v.51, no.5, pp.697 - 712

ISSN
0898-1221
URI
http://hdl.handle.net/10203/8502
Appears in Collection
MA-Journal Papers(저널논문)
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