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题名STABILITY AND CONVERGENCE ANALYSIS FOR THE IMPLICIT-EXPLICIT METHOD TO THE CAHN-HILLIARD EQUATION
作者
发表日期2022
发表期刊Mathematics of Computation
ISSN/eISSN0025-5718
卷号91期号:334页码:785-809
摘要

Implicit-explicit methods have been successfully used for the efficient numerical simulation of phase field problems such as the Cahn-Hilliard equation or thin film type equations. Due to the lack of maximum principle and stiffness caused by the effect of small dissipation coefficient, most existing theoretical analysis relies on adding additional stabilization terms, mollifying the nonlinearity or introducing auxiliary variables which implicitly either changes the structure of the problem or trades accuracy for stability in a subtle way. In this work, we introduce a robust theoretical framework to analyze directly the stability and accuracy of the standard implicit-explicit approach without stabilization or any other modification. We take the Cahn-Hilliard equation as a model case and provide a rigorous stability and convergence analysis for the original semi-discrete scheme under certain time step constraints. These settle several questions which have been open since the work of Chen and Shen

关键词Cahn-hilliard equation Implicit-explicit method
DOI10.1090/mcom/3704
URL查看来源
收录类别SCIE
语种英语English
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000771358600009
Scopus入藏号2-s2.0-85125094557
引用统计
被引频次:19[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/8949
专题理工科技学院
通讯作者Li, Dong
作者单位
1.SUSTech International Center for Mathematics,China
2.Department of Mathematics,Southern University of Science and Technology,Shenzhen,518055,China
3.SUSTech International Center for Mathematics,Southern University of Science and Technology,Shenzhen,518055,China
4.Division of Science and Technology,BNU-HKBU United International College,Zhuhai,Guangdong Province,China
推荐引用方式
GB/T 7714
Li, Dong,Quan, Chaoyu,Tang, Tao. STABILITY AND CONVERGENCE ANALYSIS FOR THE IMPLICIT-EXPLICIT METHOD TO THE CAHN-HILLIARD EQUATION[J]. Mathematics of Computation, 2022, 91(334): 785-809.
APA Li, Dong, Quan, Chaoyu, & Tang, Tao. (2022). STABILITY AND CONVERGENCE ANALYSIS FOR THE IMPLICIT-EXPLICIT METHOD TO THE CAHN-HILLIARD EQUATION. Mathematics of Computation, 91(334), 785-809.
MLA Li, Dong,et al."STABILITY AND CONVERGENCE ANALYSIS FOR THE IMPLICIT-EXPLICIT METHOD TO THE CAHN-HILLIARD EQUATION". Mathematics of Computation 91.334(2022): 785-809.
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