An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow

doi:10.1016/j.cam.2020.112880

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	An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow
	Wang, Lin 1; Yu, Haijun 2,3,4
	2020-10-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	377 页码:26
摘要	We propose and analyze a linearly stabilized semi-implicit diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow. In this scheme, the nonlinear bulk force is treated explicitly with two second-order stabilization terms. This treatment leads to linear elliptic system with constant coefficients and provable discrete energy dissipation. Rigorous error analysis is carried out for the fully discrete scheme. When the time step-size and the space step-size are small enough, second order accuracy in time is obtained with a prefactor controlled by some lower degree polynomial of 1/epsilon. Here epsilon is the thickness of the interface. Numerical results together with an adaptive time stepping are presented to verify the accuracy and efficiency of the proposed scheme. (C) 2020 Elsevier B.V. All rights reserved.
关键词	Cahn-Hilliard gradient flow Unconditionally stable Stabilized semi-implicit scheme Diffusive Crank-Nicolson scheme Error analysis Adaptive time stepping
DOI	10.1016/j.cam.2020.112880
收录类别	SCI
语种	英语
资助项目	NNSFC, China[11771439] ; NNSFC, China[91852116] ; China National Program on Key Basic Research Project[2015CB856003]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000530196900003
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51452
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Lin
作者单位	1.Guangdong Univ Technol, Sch Appl Math, Guangzhou 510006, Guangdong, Peoples R China 2.Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 3.Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, NCMIS, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Wang, Lin,Yu, Haijun. An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2020,377:26.
APA	Wang, Lin,&Yu, Haijun.(2020).An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,377,26.
MLA	Wang, Lin,et al."An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 377(2020):26.