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 |
| DOI | 10.1007/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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