Barrett, John W. and Garcke, Harald and Nuernberg, Robert (2013) On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 93 (10-11). pp. 719-732. ISSN 0044-2267, 1521-4001
Full text not available from this repository. (Request a copy)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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FINITE-ELEMENT APPROXIMATION; CAHN-HILLIARD EQUATION; GEOMETRIC EVOLUTION-EQUATIONS; BOUNDARY MOTION; MEAN-CURVATURE; SHARP; SOLIDIFICATION; SURFACE; LIMIT; LAWS; Phase field models; anisotropy; Allen-Cahn; Cahn-Hilliard; mean curvature flow; surface diffusion; Mullins-Sekerka; finite element approximation |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 Mar 2020 07:05 |
| Last Modified: | 31 Mar 2020 07:05 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15834 |
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