A nonconforming finite element method for the Cahn-Hilliard equation | |
Zhang, Shuo ; Wang, Ming | |
2010 | |
关键词 | Cahn-Hilliard equation Nonconforming finite element Convexity splitting Phase transition FOURIER-SPECTRAL METHOD DISCONTINUOUS GALERKIN METHODS NONLINEAR DIFFERENCE SCHEME TIME-STEPPING METHODS SPINODAL DECOMPOSITION NUMERICAL-ANALYSIS COLLOCATION METHOD PHASE-TRANSITION FREE-ENERGY SYSTEM |
英文摘要 | 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 energy dissipation properties of the original problem. Some typical phase transition phenomena are also observed through the numerical examples. (C) 2010 Elsevier Inc. All rights reserved.; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 12; ARTICLE; 19; 7361-7372; 229 |
语种 | 英语 |
出处 | SCI |
出版者 | 计算物理学杂志 |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/243045] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Zhang, Shuo,Wang, Ming. A nonconforming finite element method for the Cahn-Hilliard equation. 2010-01-01. |
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