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, Kokou en_US
dc.contributor.author Pierre, Roger en_US
dc.contributor.editor en_US
dc.date.accessioned 2010-05-28T09:42:25Z
dc.date.available 2010-05-28T09:42:25Z
dc.date.issued 2003 en_US
dc.identifier 2006006495 en_US
dc.identifier.citation Dossou Kokou and Pierre Roger 2003, 'A Newton-GMRES Approach for the Analysis of the Postbuckling Behavior of the Solutions of the von Karman Equations', SIAM (Society for Industrial & Applied Mathematics) Journals, vol. 24, no. 6, pp. 1994-2012. en_US
dc.identifier.issn 1064-8275 en_US
dc.identifier.other C1UNSUBMIT en_US
dc.identifier.uri http://hdl.handle.net/10453/8315
dc.description.abstract We propose a Newton-GMRES?type 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. en_US
dc.language en_US
dc.publisher SIAM (Society for Industrial & Applied Mathematics) Journals en_US
dc.relation.hasversion Accepted manuscript version en_US
dc.relation.isbasedon http://dx.doi.org/10.1137/S1064827500376144 en_US
dc.title A Newton-GMRES Approach for the Analysis of the Postbuckling Behavior of the Solutions of the von Karman Equations en_US
dc.parent SIAM Journal on Scientific Computing en_US
dc.journal.volume 24 en_US
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 en_US
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


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