Numerical variational methods applied to cylinder buckling

J. Horák, G.J. Lord, M.A. Peletier

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
205 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)1362-1386
JournalSIAM Journal on Scientific Computing
Issue number3
Publication statusPublished - 2008


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