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A Parametric Finite Element Method for Forth Order Geometric Evolution Equations

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Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert
Date of publication of this fulltext: 01 Apr 2010 09:04


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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