Domain decomposition PCG methods for serial and parallel processing

Papadrakakis, M; Bitzarakis, S

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Bitzarakis, S	en
dc.date.accessioned	2014-03-01T01:45:55Z
dc.date.available	2014-03-01T01:45:55Z
dc.date.issued	1997	en
dc.identifier.issn	1232308X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/24798
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0030654728&partnerID=40&md5=bf522709a9e7142a1eb82a0cfc3085f5	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Parallel processing systems	en
dc.subject.other	Polynomials	en
dc.subject.other	Global coefficient matrix	en
dc.subject.other	Preconditioned conjugate gradient (PCG) method	en
dc.subject.other	Schur complement matrix	en
dc.subject.other	Subdomain by subdomain (SBS) polynomial preconditioners	en
dc.subject.other	Truncated Neumann series	en
dc.subject.other	Structural analysis	en
dc.title	Domain decomposition PCG methods for serial and parallel processing	en
heal.type	journalArticle	en
heal.publicationDate	1997	en
heal.abstract	In this paper two domain decomposition formulations are presented in conjunction with the preconditioned conjugate gradient method (PCG) for the solution of large-scale problems in solid and structural mechanics. In the first approach the PCG method is applied to the global coefficient matrix, while in the second approach it is applied to the interface problem after eliminating the internal d.o.f. For both implementations a Subdomain-by-Subdomain (SBS) polynomial preconditioner is employed based on local information of each subdomain. The approximate inverse of the global coefficient matrix or the Schur complement matrix, which acts as the preconditioner, is expressed by a truncated Neumann series resulting in an additive type local preconditioner. Block type preconditioning, where full elimination is performed inside each block, is also studied and compared with the proposed polynomial preconditioning.	en
heal.journalName	Computer Assisted Mechanics and Engineering Sciences	en
dc.identifier.volume	4	en
dc.identifier.issue	1	en
dc.identifier.spage	69	en
dc.identifier.epage	93	en