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. The authors 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 they prove their stability and demonstrate their applicability with some numerical results.© 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
On the stable discretization of strongly anisotropic phase field models with applications to crystal growth / Barrett, J. W.; Garcke, H.; Nürnberg, R.. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK. - ISSN 0044-2267. - 93:10-11(2013), pp. 719-732. [10.1002/zamm.201200147]
On the stable discretization of strongly anisotropic phase field models with applications to crystal growth
Nürnberg R.
2013-01-01
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. The authors 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 they prove their stability and demonstrate their applicability with some numerical results.© 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
