Automatic non-linear solution with arc length and Newton-Lanczos methods

Papadrakakis, M; Nomikos, N

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Nomikos, N	en
dc.date.accessioned	2014-03-01T01:07:48Z
dc.date.available	2014-03-01T01:07:48Z
dc.date.issued	1990	en
dc.identifier.issn	02644401	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10187
dc.subject	lanczos method	en
dc.subject.other	Computer Programming--Algorithms	en
dc.subject.other	Mathematical Techniques--Iterative Methods	en
dc.subject.other	Structural Design--Loads	en
dc.subject.other	Arc Length Method	en
dc.subject.other	Conjugate Gradient Algorithm	en
dc.subject.other	Large Finite Element Problems	en
dc.subject.other	Load Displacement Paths	en
dc.subject.other	Newton Lanczos Method	en
dc.subject.other	Stiffness Matrix	en
dc.subject.other	Structural Analysis	en
dc.title	Automatic non-linear solution with arc length and Newton-Lanczos methods	en
heal.type	journalArticle	en
heal.identifier.primary	10.1108/eb023793	en
heal.identifier.secondary	http://dx.doi.org/10.1108/eb023793	en
heal.publicationDate	1990	en
heal.abstract	The application of the preconditioned Lanczos method is proposed for the solution of the linearized equations resulting from a non-linear solution routine based on Newton methods. A path-following solution algorithm with an arc length method is employed for tracing all types of post-critical branches of a load-displacement curve. The proposed methodology retains all characteristics of an iterative method by avoiding the complete factorization of the current stiffness matrix. The necessary eigenvalue information is retained in the tridiagonal matrix of the Lanczos approach.	en
heal.journalName	Engineering computations	en
dc.identifier.doi	10.1108/eb023793	en
dc.identifier.volume	7	en
dc.identifier.issue	1	en
dc.identifier.spage	48	en
dc.identifier.epage	56	en