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题名Convergence analysis of exponential time differencing schemes for the cahn-hilliard equation
作者
发表日期2019
发表期刊Communications in Computational Physics
ISSN/eISSN1815-2406
卷号26期号:5页码:1510-1529
摘要

In this paper, we rigorously prove the convergence of fully discrete firstand second-order exponential time differencing schemes for solving the Cahn-Hilliard equation. Our analysesmainly followthe standard procedurewith the consistency and stability estimates for numerical error functions, while the technique of higher-order consistency analysis is adopted in order to obtain the uniform L boundedness of the numerical solutions under some moderate constraints on the time step and spatial mesh sizes. This paper provides a theoretical support for numerical analysis of exponential time differencing and other related numerical methods for phase field models, in which an assumption on the uniform L boundedness is usually needed.

关键词Cahn-Hilliard equation Convergence analysis Exponential time differencing Uniform L∞ boundedness
DOI10.4208/cicp.2019.js60.12
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收录类别SCIE
语种英语English
WOS研究方向Physics
WOS类目Physics, Mathematical
WOS记录号WOS:000483303500012
Scopus入藏号2-s2.0-85071716537
引用统计
被引频次:27[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/9009
专题个人在本单位外知识产出
通讯作者Ju, Lili
作者单位
Department of Mathematics,University of South Carolina,Columbia,29208,United States
推荐引用方式
GB/T 7714
Li, Xiao,Ju, Lili,Meng, Xucheng. Convergence analysis of exponential time differencing schemes for the cahn-hilliard equation[J]. Communications in Computational Physics, 2019, 26(5): 1510-1529.
APA Li, Xiao, Ju, Lili, & Meng, Xucheng. (2019). Convergence analysis of exponential time differencing schemes for the cahn-hilliard equation. Communications in Computational Physics, 26(5), 1510-1529.
MLA Li, Xiao,et al."Convergence analysis of exponential time differencing schemes for the cahn-hilliard equation". Communications in Computational Physics 26.5(2019): 1510-1529.
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