Status | 已发表Published |
Title | Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation |
Creator | |
Date Issued | 2016 |
Source Publication | Communications in Computational Physics
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ISSN | 1815-2406 |
Volume | 19Issue:5Pages:1542-1563 |
Abstract | 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. |
Keyword | Adaptive time-stepping method Cahn-Hilliard equation Crank-Nicolson scheme convex splitting method |
DOI | 10.4208/cicp.scpde14.45s |
URL | View source |
Indexed By | SCIE |
Language | 英语English |
WOS Research Area | Physics |
WOS Subject | Physics, Mathematical |
WOS ID | WOS:000376456600022 |
SciVal Topic Prominence | T.15825 |
Citation statistics | |
Document Type | Journal article |
Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/1785 |
Collection | Research outside affiliated institution |
Corresponding Author | Tang, Tao |
Affiliation | 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 |
Recommended Citation 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. |
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