Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations

被引：56
|
作者：
Liu, Fei [1 ]
Shen, Jie [2 ,3 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen, Peoples R China
[3] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 18期
基金：
美国国家科学基金会; 中国国家自然科学基金;
关键词：
spectral deferred correction; spectral Galerkin method; method of lines; Allen-Cahn and Cahn-Hilliard equations; PHASE-FIELD MODEL; THIN-FILM EPITAXY; PARABOLIC PROBLEMS; GALERKIN METHOD; TIME; APPROXIMATION; EVOLUTION; MOBILITY; GROWTH; ORDER;
D O I：
10.1002/mma.2869
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Stabilized semi-implicit spectral deferred correction methods are constructed for the time discretization of Allen-Cahn and Cahn-Hilliard equations. These methods are unconditionally stable, lead to simple linear system to solve at each iteration, and can achieve high-order time accuracy with a few iterations in each time step. Ample numerical results are presented to demonstrate the effectiveness of the stabilized semi-implicit spectral deferred correction methods for solving the Allen-Cahn and Cahn-Hilliard equations. Copyright (C) 2013 John Wiley & Sons, Ltd.
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页码：4564 / 4575
页数：12
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