Superconvergence Analysis of Anisotropic FEMs for Time Fractional Variable Coefficient Diffusion Equations

doi:10.1007/s40840-020-00929-4

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	Superconvergence Analysis of Anisotropic FEMs for Time Fractional Variable Coefficient Diffusion Equations
	Wei, Yabing 1,2; Zhao, Yanmin 3; Wang, Fenling 3; Tang, Yifa 4,5; Yang, Jiye 6
	2020-03-27
发表期刊	BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
ISSN	0126-6705
页码	19
摘要	In this paper, based on Alikhanov's L2-1(sigma) high-order approximation and anisotropic finite element methods, a fully discrete scheme for time fractional variable coefficient diffusion equations on anisotropic meshes is presented. Firstly, we prove that the discrete scheme is unconditionally stable in H-1-norm, then the results of convergence in L-2-norm and superclose in H-1-norm are derived by combining interpolation with projection, and then, the superconvergence in H-1-norm is obtained by using interpolation post-processing technique. In addition, it is worth mentioning the key technology of combining interpolation and projection. If interpolation or projection is used alone, the results of this article cannot be obtained. Finally, numerical examples are provided to verify the correctness of theoretical analysis.
关键词	L2-1(sigma) approximation Anisotropic meshes Time fractional variable coefficient diffusion equations Convergence and superconvergence
DOI	10.1007/s40840-020-00929-4
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11971416] ; National Natural Science Foundation of China[11771438] ; Specialized Research Fund for State Key Laboratory of Space Weather[201916] ; Key Scientific Research Projects in Universities of Henan Province[19B110013] ; Program for Scientific and Technological Innovation Talents in Universities of Henan Province[19HASTIT025] ; Natural Science Foundation of Ningxia[NZ15041]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000521901700001
出版者	MALAYSIAN MATHEMATICAL SCIENCES SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51044
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, Yanmin
作者单位	1.Beihang Univ, Sch Math Sci, Beijing 100083, Peoples R China 2.Chinese Acad Sci, State Key Lab Space Weather, Beijing 100190, Peoples R China 3.Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 6.Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Ningxia, Peoples R China
推荐引用方式 GB/T 7714	Wei, Yabing,Zhao, Yanmin,Wang, Fenling,et al. Superconvergence Analysis of Anisotropic FEMs for Time Fractional Variable Coefficient Diffusion Equations[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY,2020:19.
APA	Wei, Yabing,Zhao, Yanmin,Wang, Fenling,Tang, Yifa,&Yang, Jiye.(2020).Superconvergence Analysis of Anisotropic FEMs for Time Fractional Variable Coefficient Diffusion Equations.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY,19.
MLA	Wei, Yabing,et al."Superconvergence Analysis of Anisotropic FEMs for Time Fractional Variable Coefficient Diffusion Equations".BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY (2020):19.