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

URN zum Zitieren dieses Dokuments:: urn:nbn:de:bvb:355-epub-234109

Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert

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Veröffentlichungsdatum dieses Volltextes: 07 Feb 2012 09:52

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Zusammenfassung

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 ...