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Numerical Approximation of Anisotropic Geometric Evolution Equations

URN to cite this document:
urn:nbn:de:bvb:355-epub-5681
Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert
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Date of publication of this fulltext: 05 Aug 2009 13:23


Abstract

We present a variational formulation of fully anisotropic motion by surface diffusion and mean curvature flow, as well as related flows. The proposed scheme covers both the closed curve case, and the case of curves that are connected via triple junction points. On introducing a parametric finite element approximation, we prove stability bounds and report on numerical experiments, including ...

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