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Finite element approximation of one-sided Stefan problems with anisotropic,
approximately crystalline, Gibbs-Thomson law

URN to cite this document:
urn:nbn:de:bvb:355-epub-234109
Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert
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Date of publication of this fulltext: 07 Feb 2012 09:52


Abstract

We present a finite element approximation for the one-sided Stefan problem and the one-sided Mullins–Sekerka problem, respectively. The problems feature a fully anisotropic Gibbs–Thomson law, as well as kinetic undercooling. Our approximation, which couples a parametric approximation of the moving boundary with a finite element approximation of the bulk quantities, can be shown to satisfy a ...

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