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
发表期刊	EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
ISSN	2079-7362
卷号	9 期号:4 页码:797-817
摘要	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.
关键词	Time fractional wave equation anisotropic nonconforming quasi-Wilson finite element Crank-Nicolson scheme stability superclose and superconvergence
DOI	10.4208/eajam.260718.060119
语种	英语
资助项目	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研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000489324500009
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35790
专题	计算数学与科学工程计算研究所
通讯作者	Zhao, Yanmin
作者单位	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
推荐引用方式 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.