High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation
文献类型：期刊论文
| 作者 | Wang, Fenling2; Zhao, Yanmin2; Shi, Zhengguang3; Shi, Yanhua2; Tang, Yifa1,4
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| 刊名 | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
 |
| 出版日期 | 2019-11-01 |
| 卷号 | 9期号:4页码:797-817 |
| 关键词 | Time fractional wave equation anisotropic nonconforming quasi-Wilson finite element Crank-Nicolson scheme stability superclose and superconvergence |
| ISSN号 | 2079-7362 |
| DOI | 10.4208/eajam.260718.060119 |
| 英文摘要 | High-order numerical analysis of a nonconforming finite element method on regular and anisotropic meshes for two dimensional time fractional wave equation is presented. The stability of a fully-discrete approximate scheme based on quasi-Wilson FEM in spatial direction and Crank-Nicolson approximation in temporal direction is proved and spatial global superconvergence and temporal convergence order O(h(2) + tau(3-alpha)) in the broken H-1-norm is established. For regular and anisotropic meshes, numerical examples are consistent with theoretical results. |
| 资助项目 | National Natural Science Foundation of China[11771438] ; National Natural Science Foundation of China[11971416] ; Key Scientific Research Projects in Universities of Henan Province[19B110013] ; Program for Scientific and Technological Innovation Talents in Universities of Henan Province[19HASTIT025] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000489324500009 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35789]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhao, Yanmin |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China 3.Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu 611130, Sichuan, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Fenling,Zhao, Yanmin,Shi, Zhengguang,et al. High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,2019,9(4):797-817. |
| APA | Wang, Fenling,Zhao, Yanmin,Shi, Zhengguang,Shi, Yanhua,&Tang, Yifa.(2019).High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,9(4),797-817. |
| MLA | Wang, Fenling,et al."High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation".EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 9.4(2019):797-817. |
入库方式： OAI收割
来源：数学与系统科学研究院
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