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Superconvergence Analysis of Anisotropic FEMs for Time Fractional Variable Coefficient Diffusion Equations
Wei, Yabing1,2; Zhao, Yanmin3; Wang, Fenling3; Tang, Yifa4,5; Yang, Jiye6
2020-03-27
Source PublicationBULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
ISSN0126-6705
Pages19
AbstractIn 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.
KeywordL2-1(sigma) approximation Anisotropic meshes Time fractional variable coefficient diffusion equations Convergence and superconvergence
DOI10.1007/s40840-020-00929-4
Indexed BySCI
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000521901700001
PublisherMALAYSIAN MATHEMATICAL SCIENCES SOC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51044
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhao, Yanmin
Affiliation1.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
Recommended Citation
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.
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