Accuracy and effectiveness of preconditioned conjugate gradient algorithms for large and ill-conditioned problems

Papadrakakis, M; Bitoulas, N

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Bitoulas, N	en
dc.date.accessioned	2014-03-01T01:09:17Z
dc.date.available	2014-03-01T01:09:17Z
dc.date.issued	1993	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10873
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0027695153&partnerID=40&md5=3606292a695d69c077deb3b6f455109b	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Algebra	en
dc.subject.other	Finite element method	en
dc.subject.other	Iterative methods	en
dc.subject.other	Characteristic equations	en
dc.subject.other	Ill-conditioned algebraic systems	en
dc.subject.other	Iterative refinement scheme	en
dc.subject.other	Preconditioned conjugate gradient algorithm	en
dc.subject.other	Algorithms	en
dc.title	Accuracy and effectiveness of preconditioned conjugate gradient algorithms for large and ill-conditioned problems	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	Different implementations of the preconditioned conjugate gradient method are presented for solving large and very ill-conditioned algebraic systems of equations resulting from the finite element method. A special implementation based on mixed precision calculations proved to be robust in performance and reliable in accuracy as well as storage effective. Additionally, a new type of iterative refinement scheme is introduced to improve the accuracy of direct methods based on conjugate gradient iterations; it is found to be a significant improvement on the standard iterative refinement approach. © 1993.	en
heal.publisher	ELSEVIER SCIENCE SA LAUSANNE	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.isi	ISI:A1993MH31400002	en
dc.identifier.volume	109	en
dc.identifier.issue	3-4	en
dc.identifier.spage	219	en
dc.identifier.epage	232	en