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

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Finite element approximation of one-sided Stefan problems with anisotropic,
approximately crystalline, Gibbs-Thomson law.
Preprintreihe der Fakultät Mathematik 1/2012, Working Paper.

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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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Item Type:Monograph (Working Paper)
Date:2012
Additional information (public):pdf fehlerhaft
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
80A22MSC
74N05MSC
65M60MSC
35R37MSC
65M12MSC
80M10MSC
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.
Subjects:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner: Universitätsbibliothek Regensburg
Deposited On:07 Feb 2012 09:52
Last Modified:13 Mar 2014 18:42
Item ID:23410
Owner Only: item control page

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