Computational strategies for tracing post-limit-point paths with pure iterative methods

Papadrakakis, M

dc.contributor.author	Papadrakakis, M	en
dc.date.accessioned	2014-03-01T02:01:54Z
dc.date.available	2014-03-01T02:01:54Z
dc.date.issued	2011	en
dc.identifier.issn	09560599	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29263
dc.subject.other	Computational strategy	en
dc.subject.other	Convergence properties	en
dc.subject.other	Lanczos methods	en
dc.subject.other	Low-storage	en
dc.subject.other	matrix	en
dc.subject.other	Modified Newton-Raphson method	en
dc.subject.other	Newton like methods	en
dc.subject.other	Newton-Raphson	en
dc.subject.other	Nonlinear versions	en
dc.subject.other	Postbuckling	en
dc.subject.other	Storage facilities	en
dc.subject.other	Factorization	en
dc.subject.other	Stiffness matrix	en
dc.subject.other	Newton-Raphson method	en
dc.title	Computational strategies for tracing post-limit-point paths with pure iterative methods	en
heal.type	journalArticle	en
heal.identifier.primary	10.1260/0266-3511.26.3.175	en
heal.identifier.secondary	http://dx.doi.org/10.1260/0266-3511.26.3.175	en
heal.publicationDate	2011	en
heal.abstract	In this work alternative methodologies are proposed for following post-buckling paths without the need for a complete factorization of the stiffness matrix or any factorization at all. This is achieved with two different approaches. The first employs nonlinear versions of preconditioned conjugate-like methods and the so called conjugate and secant-Newton methods have been tested. The second approach is based on the classical Newton-Raphson or modified Newton-Raphson methods, while for the linearized problem in each iteration the preconditioned Lanczos method is employed. Both methodologies combine the convergence properties of Newton-like methods and the low storage requirements of pure iterative methods by varying the storage demands for the preconditioning matrix according to the available computer storage facilities.	en
heal.journalName	International Journal of Space Structures	en
dc.identifier.doi	10.1260/0266-3511.26.3.175	en
dc.identifier.volume	26	en
dc.identifier.issue	3	en
dc.identifier.spage	175	en
dc.identifier.epage	191	en