Numerical variational methods applied to cylinder buckling

Details Numerical variational methods applied to cylinder buckling Numerical variational methods applied to cylinder buckling

2006-11-17

arxiv.org/abs/math/0611530v1

Mathematics

Analysis of PDEs

23 pages, 12 figures, 6 tables

Scientific paper

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 1 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.

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