中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Superconvergence Analysis of Anisotropic FEMs for Time Fractional Variable Coefficient Diffusion Equations

文献类型:期刊论文

作者Wei, Yabing1,6; Zhao, Yanmin2; Wang, Fenling2; Tang, Yifa4,5; Yang, Jiye3
刊名BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
出版日期2020-03-27
页码19
关键词L2-1(sigma) approximation Anisotropic meshes Time fractional variable coefficient diffusion equations Convergence and superconvergence
ISSN号0126-6705
DOI10.1007/s40840-020-00929-4
英文摘要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.
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
语种英语
WOS记录号WOS:000521901700001
出版者MALAYSIAN MATHEMATICAL SCIENCES SOC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/51043]  
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.Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China
3.Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Ningxia, Peoples R China
4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
5.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
6.Chinese Acad Sci, State Key Lab Space Weather, Beijing 100190, 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.

入库方式: OAI收割

来源:数学与系统科学研究院

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