KMS Of Academy of mathematics and systems sciences, CAS
| 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 Publication | BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
 |
| ISSN | 0126-6705 |
| Pages | 19 |
| Abstract | 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. |
| Keyword | L2-1(sigma) approximation Anisotropic meshes Time fractional variable coefficient diffusion equations Convergence and superconvergence |
| DOI | 10.1007/s40840-020-00929-4 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000521901700001 |
| Publisher | MALAYSIAN MATHEMATICAL SCIENCES SOC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51044 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhao, Yanmin |
| Affiliation | 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 |
| 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment