## Abstract A spectral Galerkin method in the spatial discretization is analyzed to solve the CahnβHilliard equation. Existence, uniqueness, and stabilities for both the exact solution and the approximate solution are given. Using the theory and technique of a priori estimate for the partial differ
A discontinuous Galerkin method for the Cahn-Hilliard equation
β Scribed by S. M. Choo; Y. J. Lee
- Publisher
- Springer-Verlag
- Year
- 2005
- Tongue
- English
- Weight
- 174 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1598-5865
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This paper reports a fully discretized scheme for the Cahn-Hilliard equation. The method uses a convexity-splitting scheme to discretize in the temporal variable and a nonconforming finite element method to discretize in the spatial variable. And, the scheme can preserve the mass conservation and en
We develop a method for adaptive mesh refinement for steady state problems that arise in the numerical solution of Cahn-Hilliard equations with an obstacle free energy. The problem is discretized in time by the backward-Euler method and in space by linear finite elements. The adaptive mesh refinemen
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