Barrett, John W. and Garcke, Harald and Nürnberg, Robert
Finite element approximation of one-sided Stefan problems with anisotropic,
approximately crystalline, Gibbs-Thomson law. Preprintreihe der Fakultät Mathematik 1/2012, Working Paper.
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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|Item type:||Monograph (Working Paper)|
|Series of the University of Regensburg:||Preprintreihe der Fakultät Mathematik|
|Additional Information (public):||pdf fehlerhaft|
|Institutions:||Mathematics > Prof. Dr. Harald Garcke|
|Keywords:||Stefan problem, Mullins–Sekerka problem, finite elements, moving boundary problem, surface tension, anisotropy, kinetic undercooling, Gibbs–Thomson law, dendritic growth, snow crystal growth, facet breaking.|
|Dewey Decimal Classification:||500 Science > 510 Mathematics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited on:||07 Feb 2012 09:52|
|Last modified:||13 Mar 2014 18:42|