Numerical variational methods applied to cylinder buckling

J. Horák, G.J. Lord, M.A. Peletier

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

3 Citaten (Scopus)
192 Downloads (Pure)

Samenvatting

We review and compare different computational variational methods applied to a system of fourth order equations that arises as a model of cylinder buckling. We describe both the discretization and implementation, in particular how to deal with a one-dimensional null space. We show that we can construct many different solutions from a complex energy surface. We examine numerically convergence in the spatial discretization and in the domain size. Finally we give a physical interpretation of some of the solutions found.
Originele taal-2Engels
Pagina's (van-tot)1362-1386
TijdschriftSIAM Journal on Scientific Computing
Volume30
Nummer van het tijdschrift3
DOI's
StatusGepubliceerd - 2008

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