Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation

doi:10.4208/cicp.scpde14.45s

科研成果详情

发表状态	已发表Published
题名	Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation
作者	Luo, Fuesheng 1; Tang, Tao2,3 ; Xie, Hehu 4
发表日期	2016
发表期刊	Communications in Computational Physics
ISSN/eISSN	1815-2406
卷号	19 期号:5 页码:1542-1563
摘要	It is known that large time-stepping method are useful for simulating phase field models. In this work, an adaptive time-stepping strategy is proposed based on numerical energy stability and equi-distribution principle. The main idea is to use the energy variation as an indicator to update the time step, so that the resulting algorithm is free of user-defined parameters, which is different from several existing approaches. Some numerical experiments are presented to illustrate the effectiveness of the algorithms.
关键词	Adaptive time-stepping method Cahn-Hilliard equation Crank-Nicolson scheme convex splitting method
DOI	10.4208/cicp.scpde14.45s
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000376456600022
SciVal 热门主题	T.15825
引用统计	被引频次：25[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/1785
专题	个人在本单位外知识产出
通讯作者	Tang, Tao
作者单位	1.Third Institute of Oceanography, SOA, Xiamen, 361005, China 2.Department of Mathematics, Southern University of Science and Technology of China, Shenzhen, Guangdong, 518055, China 3.Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong 4.LSEC, ICMSEC, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
推荐引用方式 GB/T 7714	Luo, Fuesheng,Tang, Tao,Xie, Hehu. Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation[J]. Communications in Computational Physics, 2016, 19(5): 1542-1563.
APA	Luo, Fuesheng, Tang, Tao, & Xie, Hehu. (2016). Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation. Communications in Computational Physics, 19(5), 1542-1563.
MLA	Luo, Fuesheng,et al."Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation". Communications in Computational Physics 19.5(2016): 1542-1563.