Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. J. Comput. Phys. 229, pp. 6270-6299.
We introduce a parametric finite element approximation for the Stefan problem with the Gibbs–Thomson law and kinetic undercooling, which mimics the underlying energy structure of the problem. The proposed method is also applicable to certain quasi-stationary variants, such as the Mullins–Sekerka problem. In addition, fully anisotropic energies are easily handled. The approximation has ...
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|Series of the University of Regensburg:||Preprintreihe der Fakultät Mathematik|
|Institutions:||Mathematics > Prof. Dr. Harald Garcke|
|Keywords:||Stefan problem, Mullins–Sekerka problem, surface tension, anisotropy, kinetic undercooling, Gibbs–Thomson law, dendritic growth, snow crystal growth; parametric finite elements|
|Dewey Decimal Classification:||500 Science > 510 Mathematics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||Partially|
|Deposited On:||23 Mar 2010 08:15|
|Last Modified:||13 Mar 2014 13:08|