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A Parametric Finite Element Method for Forth Order Geometric Evolution Equations

URN to cite this document:
urn:nbn:de:bvb:355-epub-138316
Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert
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Date of publication of this fulltext: 01 Apr 2010 09:04


Abstract

We present a finite element approximation of motion by minus the Laplacian of curvature and related flows. The proposed scheme covers both the closed curve case, and the case of curves that are connected via triple junctions. On introducing a parametric finite element approximation, we prove stability bounds and compare our scheme with existing approaches. It turns out that the new scheme has ...

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