发表状态 | 已发表Published |
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
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ISSN/eISSN | 0025-5718 |
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 |
DOI | 10.1090/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 | |
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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