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

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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 http://hdl.handle.net/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

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