High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation

doi:10.4208/eajam.260718.060119

	High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation
	Wang, Fenling 1; Zhao, Yanmin 1; Shi, Zhengguang 2; Shi, Yanhua 1; Tang, Yifa3,4
	2019-11-01
Source Publication	EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
ISSN	2079-7362
Volume	9 Issue:4 Pages:797-817
Abstract	High-order numerical analysis of a nonconforming finite element method on regular and anisotropic meshes for two dimensional time fractional wave equation is presented. The stability of a fully-discrete approximate scheme based on quasi-Wilson FEM in spatial direction and Crank-Nicolson approximation in temporal direction is proved and spatial global superconvergence and temporal convergence order O(h(2) + tau(3-alpha)) in the broken H-1-norm is established. For regular and anisotropic meshes, numerical examples are consistent with theoretical results.
Keyword	Time fractional wave equation anisotropic nonconforming quasi-Wilson finite element Crank-Nicolson scheme stability superclose and superconvergence
DOI	10.4208/eajam.260718.060119
Language	英语
Funding Project	National Natural Science Foundation of China[11771438] ; National Natural Science Foundation of China[11971416] ; Key Scientific Research Projects in Universities of Henan Province[19B110013] ; Program for Scientific and Technological Innovation Talents in Universities of Henan Province[19HASTIT025]
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000489324500009
Publisher	GLOBAL SCIENCE PRESS
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/35790
Collection	计算数学与科学工程计算研究所
Corresponding Author	Zhao, Yanmin
Affiliation	1.Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China 2.Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu 611130, Sichuan, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation GB/T 7714	Wang, Fenling,Zhao, Yanmin,Shi, Zhengguang,et al. High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,2019,9(4):797-817.
APA	Wang, Fenling,Zhao, Yanmin,Shi, Zhengguang,Shi, Yanhua,&Tang, Yifa.(2019).High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,9(4),797-817.
MLA	Wang, Fenling,et al."High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation".EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 9.4(2019):797-817.

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