On the Newton-Lanczos approach for solving nonlinear finite element problems

Papadrakakis, M; Kalathas, NC

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Kalathas, NC	en
dc.date.accessioned	2014-03-01T01:08:59Z
dc.date.available	2014-03-01T01:08:59Z
dc.date.issued	1992	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10769
dc.subject	Finite Element	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Iterative methods	en
dc.subject.other	Linearization	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Lanczos method	en
dc.subject.other	Linearized solution	en
dc.subject.other	Minimum storage version	en
dc.subject.other	Path following solution strategy	en
dc.subject.other	Mathematical techniques	en
dc.title	On the Newton-Lanczos approach for solving nonlinear finite element problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0045-7949(92)90259-3	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0045-7949(92)90259-3	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	This paper investigates the potential of the Lanczos method when applied as a linear equation solver in path-following solution strategies. Three different approaches have been considered and compared. The first is the minimum storage version which solves a new linearized problem in each external nonlinear iteration. The second version keeps the tridiagonal and the orthonormal basis in fast or secondary storage for obtaining initial estimates for the subsequent linearized solutions. The third version operates simultaneously on more than one load increments and proceeds to linearized solutions with more than one right-hand side. The use of preconditioning, truncation and line search acceleration have also been employed and evaluated. © 1992.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Structures	en
dc.identifier.doi	10.1016/0045-7949(92)90259-3	en
dc.identifier.isi	ISI:A1992JH52400045	en
dc.identifier.volume	44	en
dc.identifier.issue	1-2	en
dc.identifier.spage	389	en
dc.identifier.epage	397	en