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

Dossou, KB; Pierre, R

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

Dossou, KB Pierre, R

Publisher:: SIAM (Society for Industrial & Applied Mathematics) Journals
Publication Type:: Journal Article
Citation:: SIAM Journal on Scientific Computing, 2003, 24 (6), pp. 1994 - 2012
Issue Date:: 2003-01

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Field	Value	Language
dc.contributor.author	Dossou, KB	en_US
dc.contributor.author	Pierre, R	en_US
dc.date.issued	2003-01	en_US
dc.identifier.citation	SIAM Journal on Scientific Computing, 2003, 24 (6), pp. 1994 - 2012	en_US
dc.identifier.issn	1064-8275	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.	en_US
dc.publisher	SIAM (Society for Industrial & Applied Mathematics) Journals	en_US
dc.relation.ispartof	SIAM Journal on Scientific Computing	en_US
dc.relation.isbasedon	10.1137/S1064827500376144	en_US
dc.subject.classification	Numerical & Computational Mathematics	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.type	Journal Article
utslib.citation.volume	6	en_US
utslib.citation.volume	24	en_US
utslib.for	010506 Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0103 Numerical And Computational Mathematics	en_US
utslib.for	0802 Computation Theory And Mathematics	en_US
pubs.embargo.period	Not known	en_US
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 and Physical Sciences
utslib.copyright.status	open_access
pubs.consider-herdc	false	en_US
pubs.issue	6	en_US
pubs.notes	OK - SAM	en_US
pubs.volume	24	en_US

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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.

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http://hdl.handle.net/10453/8315