The mosaic of high performance domain Decomposition Methods for Structural Mechanics: Formulation, interrelation and numerical efficiency of primal and dual methods

Fragakis, Y; Papadrakakis, M

dc.contributor.author	Fragakis, Y	en
dc.contributor.author	Papadrakakis, M	en
dc.date.accessioned	2014-03-01T01:19:37Z
dc.date.available	2014-03-01T01:19:37Z
dc.date.issued	2003	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15613
dc.subject	Balancing Domain Decomposition	en
dc.subject	Domain Decomposition Method	en
dc.subject	High Performance	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Numerical methods	en
dc.subject.other	Domain decomposition method (DDM)	en
dc.subject.other	Mechanics	en
dc.subject.other	structural analysis	en
dc.title	The mosaic of high performance domain Decomposition Methods for Structural Mechanics: Formulation, interrelation and numerical efficiency of primal and dual methods	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0045-7825(03)00374-8	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0045-7825(03)00374-8	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	A multitude of domain decomposition methods (DDM) for structural mechanics is available in the literature today. A unified framework for formulating primal and dual DDM is thus presented in this paper, aiming at providing a mathematical platform for a uniform treatment of high performance DDM in structural mechanics. A novel approach for developing new DDM from existing methods is also proposed and is applied to dual and primal methods. In the field of the FETI methods, this approach leads to a new category of methods derived from existing FETI variants. Furthermore, two alternative formulations of the balancing domain decomposition method are described, while interrelations between the introduced and existing methods are established. Finally, comparative numerical tests demonstrate the differences in the computational performance of the methods in question. (C) 2003 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE SA	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/S0045-7825(03)00374-8	en
dc.identifier.isi	ISI:000185059100001	en
dc.identifier.volume	192	en
dc.identifier.issue	35-36	en
dc.identifier.spage	3799	en
dc.identifier.epage	3830	en