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• W2135478528 abstract "We present a nonstiff, fully adaptive mesh refinement-based method for the Cahn–Hilliard equation. The method is based on a semi-implicit splitting, in which linear leading order terms are extracted and discretized implicitly, combined with a robust adaptive spatial discretization. The fully discretized equation is written as a system which is efficiently solved on composite adaptive grids using the linear multigrid method without any constraint on the time step size. We demonstrate the efficacy of the method with numerical examples. Both the transient stage and the steady state solutions of spinodal decompositions are captured accurately with the proposed adaptive strategy. Employing this approach, we also identify several stationary solutions of that decomposition on the 2D torus." @default.
• W2135478528 created "2016-06-24" @default.
• W2135478528 creator A5011893702 @default.
• W2135478528 creator A5016417542 @default.
• W2135478528 date "2007-08-01" @default.
• W2135478528 modified "2023-09-27" @default.
• W2135478528 title "A nonstiff, adaptive mesh refinement-based method for the Cahn–Hilliard equation" @default.
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• W2135478528 doi "https://doi.org/10.1016/j.jcp.2007.02.019" @default.
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