A multigrid method for the Cahn-Hilliard equation with obstacle potential
作者： L’ubomír Baňas , Robert Nürnberg
DOI: 10.1016/J.AMC.2009.03.036
关键词: Partial differential equation 、 Finite element method 、 Numerical analysis 、 Differential equation 、 Cahn–Hilliard equation 、 Initial value problem 、 Order of accuracy 、 Mathematics 、 Multigrid method 、 Mathematical analysis
摘要: 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 problem particularly challenging. exhibits mesh-independent convergence properties in practice arbitrary time step sizes. In addition, numerical evidence shows that behaviour extends to small values interfacial parameter @c. Several examples are given, including comparisons with existing alternative solution methods
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