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An algebraically partitioned FETI method for parallel structural analysis: algorithm description
Author(s) -
Park K. C.,
Justino Manoel R.,
Felippa Carlos A.
Publication year - 1997
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19970815)40:15<2717::aid-nme185>3.0.co;2-b
Subject(s) - feti , algorithm , interface (matter) , computation , mathematics , domain decomposition methods , finite element method , saddle point , computer science , geometry , parallel computing , structural engineering , engineering , bubble , maximum bubble pressure method
An algebraically partitioned FETI method for the solution of structural engineering problems on parallel computers is presented. The present algorithm consists of three attributes: an explicit generation of the orthogonal null‐space matrix associated with the interface nodal forces, the floating subdomain rigid‐body modes computed from the subdomain static equilibrium equation of the classical force method and the identification of redundant interface force constraint operator that emanates when the interface force computations are localized. Comparisons of the present method with the previously developed differentially partitioned FETI method are offered in terms of the saddle‐point formulations at the end of the paper. A companion paper reports implementation details and numerical performance of the proposed algorithm. © 1997 John Wiley & Sons, Ltd.