Paper Info
Title
A multigrid method for the Cahn–Hilliard equation with obstacle potential
Abstract
We present a multigrid finite element method for the deep quench obstacle Cahn–Hilliard equation. The non-smooth nature of this highly nonlinear fourth order partial differential equation make this problem particularly challenging. The method exhibits mesh-independent convergence properties in practice for arbitrary time step sizes. In addition, numerical evidence shows that this behaviour extends to small values of the interfacial parameter γ . Several numerical examples are given, including comparisons with existing alternative solution methods for the Cahn–Hilliard equation.
Year
DOI
Venue
2009
10.1016/j.amc.2009.03.036
Applied Mathematics and Computation
Keywords
DocType
Volume
cahn-hilliard equation,finite elements,multigrid method,obstacle free energy
Journal
213
Issue
ISSN
Citations 
2
Applied Mathematics and Computation
4
PageRank 
References 
Authors
0.57
7
2
Name
Order
Citations
PageRank
Lubomír Bañas1132.52
Robert Nürnberg214619.50