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Domain decomposition methods for parallel solution of sensitivity analysis problems

Papadrakakis, Manolis, Yiannis Tsompanakis

Πλήρης Εγγραφή


URI: http://purl.tuc.gr/dl/dias/10147DF2-71B6-434F-929B-9638999AD6C5
Έτος 1999
Τύπος Δημοσίευση σε Περιοδικό με Κριτές
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Βιβλιογραφική Αναφορά M. Papadrakakis ,Y. Tsompanakis , " Domain decomposition methods for parallel solution of sensitivity analysis problems ," Intern. J. for Num.l Methods in Engin. ,vol. 44 ,no. 2 , pp.281 - 303,1999.doi: 10.1002/(SICI)1097-0207(19990120)44:2<281::AID-NME512>3.0.CO;2-1 https://doi.org/10.1002/(SICI)1097-0207(19990120)44:2<281::AID-NME512>3.0.CO;2-1
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Περίληψη

This paper presents the implementation of advanced domain decomposition techniques for parallel solution of large-scale shape sensitivity analysis problems. The methods presented in this study are based on the FETI method proposed by Farhat and Roux which is a dual domain decomposition implementation. Two variants of the basic FETI method have been implemented in this study: (i) FETI-1 where the rigid-body modes of the floating subdomains are computed explicitly. (ii) FETI-2 where the local problem at each subdomain is solved by the PCG method and the rigid-body modes are computed explicitly. A two-level iterative method is proposed particularly tailored to solve re-analysis type of problems, where the dual domain decomposition method is incorporated in the preconditioning step of a subdomain global PCG implementation. The superiority of this two-level iterative solver is demonstrated with a number of numerical tests in serial as well as in parallel computing environments.

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