A multigrid method for the Cahn–Hilliard equation with obstacle potential
Banas, Lubomir
Banas
Lubomir
Nürnberg, Robert
Nürnberg
Robert
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 . Several numerical examples are given, including comparisons with existing alternative solution methods for the Cahn–Hilliard equation.
213
2
290-303
290-303
Elsevier BV
2009