Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632448 | Applied Mathematics and Computation | 2009 | 14 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
L'ubomÃr BaÅas, Robert Nürnberg,