Go to content
UR Home

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.

[img]
Preview
PDF
Download (2MB)
Date of publication of this fulltext: 13 Mar 2013 09:52

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 ...

plus


Export bibliographical data



Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2012
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
65M60MSC
65M12MSC
35K55MSC
74N20MSC
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
Item ID:27891
Owner only: item control page

Downloads

Downloads per month over past year

  1. Homepage UR

University Library

Publication Server

Contact:

Publishing: oa@ur.de

Dissertations: dissertationen@ur.de

Research data: daten@ur.de

Contact persons