Numerical variational methods applied to cylinder buckling
Analysis of PDEs
2007-05-23 v1 Numerical Analysis
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 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.
Cite
@article{arxiv.math/0611530,
title = {Numerical variational methods applied to cylinder buckling},
author = {Jiri Horak and Gabriel J. Lord and Mark A. Peletier},
journal= {arXiv preprint arXiv:math/0611530},
year = {2007}
}
Comments
23 pages, 12 figures, 6 tables