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Optimal convergence properties of the FETI domain decomposition method
Author(s) -
Maday Y.,
Magoulès F.
Publication year - 2007
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1243
Subject(s) - feti , domain decomposition methods , robustness (evolution) , convergence (economics) , interface (matter) , homogeneous , mathematics , computer science , mathematical optimization , finite element method , algorithm , parallel computing , engineering , structural engineering , economics , economic growth , biochemistry , chemistry , bubble , combinatorics , maximum bubble pressure method , gene
In this paper an original variant of the FETI domain decomposition method is introduced for heterogeneous media. This method uses new absorbing interface conditions in place of the Neumann interface conditions defined in the classical FETI method. The optimal convergence properties of the classical FETI method and of its variant are first demonstrated, both in the case of homogeneous and heterogeneous media. Secondly, novel and efficient absorbing interface conditions, which avoid rigid body motions, are investigated and analysed. Numerical experiments illustrate the dependence of the proposed method upon several parameters, and confirm the robustness and efficiency of this method when equipped with such absorbing interface conditions. Copyright © 2006 John Wiley & Sons, Ltd.