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.
|Number of pages||25|
|Journal||SIAM Journal on Scientific Computing|
|Publication status||Published - 2008|
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