期刊
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
卷 26, 期 5, 页码 1510-1529出版社
GLOBAL SCIENCE PRESS
DOI: 10.4208/cicp.2019.js60.12
关键词
Cahn-Hilliard equation; exponential time differencing; convergence analysis; uniform L-infinity boundedness
资金
- US National Science Foundation [DMS-1818438]
- National Natural Science Foundation of China [11801024, 11871454]
In this paper, we rigorously prove the convergence of fully discrete first-and second-order exponential time differencing schemes for solving the Cahn-Hilliard equation. Our analyses mainly follow the standard procedure with 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-infinity 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-infinity boundedness is usually needed.
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