Domain decomposition methods for parallel solution of shape sensitivity analysis problems

Papadrakakis, M; Tsompanakis, Y

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Tsompanakis, Y	en
dc.date.accessioned	2014-03-01T01:14:31Z
dc.date.available	2014-03-01T01:14:31Z
dc.date.issued	1999	en
dc.identifier.issn	00295981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13125
dc.subject	Domain decomposition methods	en
dc.subject	Multiple right-hand sides	en
dc.subject	Preconditioned conjugate gradient	en
dc.subject	Reanalysis problems	en
dc.subject	Shape sensitivity analysis	en
dc.subject.other	Algorithms	en
dc.subject.other	Iterative methods	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Parallel processing systems	en
dc.subject.other	Domain decomposition methods	en
dc.subject.other	Sensitivity analysis	en
dc.title	Domain decomposition methods for parallel solution of shape sensitivity analysis problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/(SICI)1097-0207(19990120)44:2<281::AID-NME512>3.0.CO;2-1	en
heal.identifier.secondary	http://dx.doi.org/10.1002/(SICI)1097-0207(19990120)44:2<281::AID-NME512>3.0.CO;2-1	en
heal.publicationDate	1999	en
heal.abstract	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 Roux1 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. Copyright © 1999 John Wiley & Sons, Ltd.	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/(SICI)1097-0207(19990120)44:2<281::AID-NME512>3.0.CO;2-1	en
dc.identifier.volume	44	en
dc.identifier.issue	2	en
dc.identifier.spage	281	en
dc.identifier.epage	303	en