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TitleA simple moving mesh method for one- and two-dimensional phase-field equations
Creator
Date Issued2006
Conference NameInternational Conference on Mathematics and its Application
Source PublicationJournal of Computational and Applied Mathematics
ISSN0377-0427
Volume190
Issue1-2
Pages252-269
Conference Date28 May 2004 through 31 May 2004
Conference PlaceCity Univ Hong Kong, Hong Kong, PEOPLES R CHINA
Abstract

A simple moving mesh method is proposed for solving phase-field equations. The numerical strategy is based on the approach proposed in Li et al. [J. Comput. Phys. 170 (2001) 562-588] to separate the mesh-moving and PDE evolution. The phase-field equations are discretized by a finite-volume method, and the mesh-moving part is realized by solving the conventional Euler-Lagrange equations with the standard gradient-based monitors. Numerical results demonstrate the accuracy and effectiveness of the proposed algorithm. © 2005 Elsevier B.V. All rights reserved.

KeywordComputation of free boundaries Finite volume method Moving mesh method Phase-field equations
DOI10.1016/j.cam.2005.01.042
URLView source
Indexed BySCIE ; CPCI-S
Language英语English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000235851200018
Citation statistics
Cited Times:25[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/3549
CollectionResearch outside affiliated institution
Affiliation
1.Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong;
2.Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong;
3.School of Mathematical Sciences, Beijing Normal University, Beijing, China
Recommended Citation
GB/T 7714
Tan, Zhijun,Tang, Tao,Zhang, Zhengru. A simple moving mesh method for one- and two-dimensional phase-field equations[C], 2006: 252-269.
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