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The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute

URN to cite this document:
urn:nbn:de:bvb:355-epub-136091
Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert
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Date of publication of this fulltext: 23 Mar 2010 08:13


Abstract

Based on earlier work by the authors, in this paper we introduce novel fully discrete, fully practical parametric finite element approximations for geometric evolution equations of curves in the plane. The fully implicit approximations are unconditionally stable and intrinsically equidistribute the vertices at each time level. We present iterative solution methods for the systems of nonlinear ...

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