A Newton-GMRES approach for the analysis of the postbuckling behavior of the solutions of the Von Kármán equations

Dossou, K; Pierre, R

A Newton-GMRES approach for the analysis of the postbuckling behavior of the solutions of the Von Kármán equations

Dossou, K

Pierre, R

Permalink

Publication Type:: Journal Article
Citation:: SIAM Journal on Scientific Computing, 2003, 24 (6), pp. 1994 - 2012
Issue Date:: 2003-05-01

Open Access

Copyright Clearance Process

Recently Added
In Progress
Open Access

This item is open access.

Adobe PDF

Download full textAdobe PDF (915.69 kB)

View on publisher's site

View statistics

Full metadata record

Field	Value	Language
dc.contributor.author	Dossou, K https://orcid.org/0000-0002-2342-8945	en_US
dc.contributor.author	Pierre, R	en_US
dc.date.issued	2003-05-01	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-GMRES-type algorithm to solve the discrete von Kármán problem. We show that this algorithm is efficient both in memory and computation 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.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 Kármán 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.issue	6	en_US
pubs.publication-status	Published	en_US
pubs.volume	24	en_US

Abstract:

We propose a Newton-GMRES-type algorithm to solve the discrete von Kármán problem. We show that this algorithm is efficient both in memory and computation 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.

Please use this identifier to cite or link to this item:

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