04-28
Error estimates for the Willmore flow of graphs
Preprint series: 04-28, Preprints
- MSC:
- 65M15 Error bounds
- 35K55 Nonlinear PDE of parabolic type
- 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Abstract: The evolution of two-dimensional graphs under Willmore flow is approximated by a finite element method. The highly nonlinear problem is split into two coupled second order problems using height and a weighted mean curvature as variables. We prove a-priori error estimates for the resulting time-continuous scheme and present results of test calculations.
Keywords: Willmore flow, finite elements, mixed method, error estimates
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