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On the stable discretization of strongly anisotropic phase field models with applications to crystal growth
Barrett, John W., Garcke, Harald and Nürnberg, Robert (2012) On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Preprintreihe der Fakultät Mathematik 16/2012, Working Paper.Date of publication of this fulltext: 13 Mar 2013 09:52
Monograph
DOI to cite this document: 10.5283/epub.27891
Abstract
We introduce unconditionally stable finite element approximations for anisotropic Allen– Cahn and Cahn–Hilliard equations. These equations frequently feature in phase field models that appear in materials science. On introducing the novel fully practical finite element approximations we prove their stability and demonstrate their applicability with some numerical results. We dedicate this article ...
We introduce unconditionally stable finite element approximations for anisotropic Allen–
Cahn and Cahn–Hilliard equations. These equations frequently feature in phase field models
that appear in materials science. On introducing the novel fully practical finite element
approximations we prove their stability and demonstrate their applicability with some numerical
results.
We dedicate this article to the memory of our colleague and friend Christof Eck (1968–
2011) in recognition of his fundamental contributions to phase field models.
Involved Institutions
Details
| Item type | Monograph (Working Paper) | ||||||||||
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Volume: | 16/2012 | ||||||||||
| Date | 2012 | ||||||||||
| Institutions | Mathematics > Prof. Dr. Harald Garcke | ||||||||||
| Classification |
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| Keywords | phase field models, anisotropy, Allen–Cahn, Cahn–Hilliard, mean curvature flow, surface diffusion, Mullins–Sekerka, finite element approximation | ||||||||||
| Dewey Decimal Classification | 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 | ||||||||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-278919 | ||||||||||
| Item ID | 27891 |
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