Numerical variational methods applied to cylinder buckling

Jiří Horák, Gabriel J. Lord, Mark A. Peletier

Research output: Contribution to journalLiterature review

3 Citations (Scopus)

Abstract

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. © 2008 Society for Industrial and Applied Mathematics.

Original languageEnglish
Pages (from-to)1362-1386
Number of pages25
JournalSIAM Journal on Scientific Computing
Volume30
Issue number3
DOIs
Publication statusPublished - 2008

Keywords

  • Continuation
  • Mountain-pass algorithm
  • Steepest descent

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