Parallel solution techniques in computational structural mechanics

Bitzarakis, S; Papadrakakis, M; Kotsopulos, A

dc.contributor.author	Bitzarakis, S	en
dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Kotsopulos, A	en
dc.date.accessioned	2014-03-01T01:13:15Z
dc.date.available	2014-03-01T01:13:15Z
dc.date.issued	1997	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12390
dc.subject	Degree of Freedom	en
dc.subject	Domain Decomposition	en
dc.subject	Interface Problem	en
dc.subject	lagrange multiplier	en
dc.subject	Large Scale	en
dc.subject	Preconditioned Conjugate Gradient	en
dc.subject	schur complement	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Algorithms	en
dc.subject.other	Interfaces (materials)	en
dc.subject.other	Lagrange multipliers	en
dc.subject.other	Mechanics	en
dc.subject.other	Parallel processing systems	en
dc.subject.other	Problem solving	en
dc.subject.other	Stiffness matrix	en
dc.subject.other	Domain decomposition	en
dc.subject.other	Neumann series	en
dc.subject.other	Preconditioned conjugate gradient method	en
dc.subject.other	Preconditioner	en
dc.subject.other	Schur complement	en
dc.subject.other	Computational methods	en
dc.title	Parallel solution techniques in computational structural mechanics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0045-7825(97)00028-5	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0045-7825(97)00028-5	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	This paper presents three domain decomposition formulations combined with the Preconditioned Conjugate Gradient (PCG) method for solving large-scale linear problems in mechanics. In the first approach a subdomain-by-subdomain PCG algorithm is implemented on the global level. An approximate inverse of the global stiffness matrix, which stands as the preconditioner, is expressed by a truncated Neumann series of its local contributions. In the second approach the PCG algorithm is applied on the interface problem after eliminating the internal degrees of freedom. For this Schur complement implementation the pre-conditioner is formulated, as in the previous case, from the contributions of the local Schur complements expressed by a truncated Neumann series. The third approach operates on the global level after partitioning the domain into a set of totally disconnected subdomains using Lagrange multipliers. The local problem at each subdomain is solved by the PCG method while the interface problem is handled by a preconditioned conjugate projected gradient algorithm.	en
heal.publisher	ELSEVIER SCIENCE SA LAUSANNE	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/S0045-7825(97)00028-5	en
dc.identifier.isi	ISI:A1997XN24400006	en
dc.identifier.volume	148	en
dc.identifier.issue	1-2	en
dc.identifier.spage	75	en
dc.identifier.epage	104	en