A Newton-GMRES Approach for the Analysis of the Postbuckling Behavior of the Solutions of the von Karman Equations

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dc.contributor.author Dossou, KB
dc.contributor.author Pierre, R
dc.date.accessioned 2010-05-28T09:42:25Z
dc.date.issued 2003-01
dc.identifier.citation SIAM Journal on Scientific Computing, 2003, 24 (6), pp. 1994 - 2012
dc.identifier.issn 1064-8275
dc.identifier.other C1UNSUBMIT en_US
dc.identifier.uri http://hdl.handle.net/10453/8315
dc.description.abstract We propose a Newton-GMREStype algorithm to solve the discrete von Karman problem. We show that this algorithm is efficient both in memory andcomputation time and robust in the neighborhood of the singular points of the bifurcation diagrams. Placing ourselves in the context of the Schaeffer and Golubitsky theory, we use this algorithm to study the postbuckling behavior of a rectangular plate clamped and compressed along its four sides.
dc.publisher SIAM (Society for Industrial & Applied Mathematics) Journals
dc.relation.hasversion Accepted manuscript version en_US
dc.relation.isbasedon 10.1137/S1064827500376144
dc.subject Newton GMRES algorithm, Mode jumping, Mode interaction, Clamped plate, Rectangular plate, Postbuckling, Finite element method, Bifurcation, Poisson bracket, Von Kárman equation, Partial differential equation, Scientific computation, Numerical & Computational Mathematics
dc.subject Newton GMRES algorithm; Mode jumping; Mode interaction; Clamped plate; Rectangular plate; Postbuckling; Finite element method; Bifurcation; Poisson bracket; Von Kárman equation; Partial differential equation; Scientific computation; Numerical & Computational Mathematics
dc.title A Newton-GMRES Approach for the Analysis of the Postbuckling Behavior of the Solutions of the von Karman Equations
dc.type Journal Article
dc.parent SIAM Journal on Scientific Computing
dc.journal.volume 6
dc.journal.volume 24
dc.journal.number 6 en_US
dc.publocation Pennsylvania, USA en_US
dc.identifier.startpage 1994 en_US
dc.identifier.endpage 2012 en_US
dc.cauo.name SCI.Mathematical Sciences en_US
dc.conference Verified OK en_US
dc.for 010506 Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter
dc.personcode 040396 en_US
dc.personcode 0000030319 en_US
dc.percentage 100 en_US
dc.classification.name Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter en_US
dc.classification.type FOR-08 en_US
dc.edition en_US
dc.custom en_US
dc.date.activity en_US
dc.location.activity en_US
dc.description.keywords Newton GMRES algorithm ; Mode jumping ; Mode interaction ; Clamped plate ; Rectangular plate ; Postbuckling ; Finite element method ; Bifurcation ; Poisson bracket ; Von Karman equation ; Partial differential equation ; Scientific computation en_US
dc.description.keywords Newton GMRES algorithm
dc.description.keywords Mode jumping
dc.description.keywords Mode interaction
dc.description.keywords Clamped plate
dc.description.keywords Rectangular plate
dc.description.keywords Postbuckling
dc.description.keywords Finite element method
dc.description.keywords Bifurcation
dc.description.keywords Poisson bracket
dc.description.keywords Von Kárman equation
dc.description.keywords Partial differential equation
dc.description.keywords Scientific computation
pubs.embargo.period Not known
pubs.organisational-group /University of Technology Sydney
pubs.organisational-group /University of Technology Sydney/Faculty of Science
pubs.organisational-group /University of Technology Sydney/Faculty of Science/School of Mathematical Sciences


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