Details of Research Outputs

Status已发表Published
TitleParameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation
Creator
Date Issued2016
Source PublicationCommunications in Computational Physics
ISSN1815-2406
Volume19Issue: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. 

KeywordAdaptive time-stepping method Cahn-Hilliard equation Crank-Nicolson scheme convex splitting method
DOI10.4208/cicp.scpde14.45s
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000376456600022
SciVal Topic ProminenceT.15825
Citation statistics
Cited Times:25[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/1785
CollectionResearch outside affiliated institution
Corresponding AuthorTang, 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.
Files in This Item:
There are no files associated with this item.
Related Services
Usage statistics
Google Scholar
Similar articles in Google Scholar
[Luo, Fuesheng]'s Articles
[Tang, Tao]'s Articles
[Xie, Hehu]'s Articles
Baidu academic
Similar articles in Baidu academic
[Luo, Fuesheng]'s Articles
[Tang, Tao]'s Articles
[Xie, Hehu]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Luo, Fuesheng]'s Articles
[Tang, Tao]'s Articles
[Xie, Hehu]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.