Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain
文献类型：期刊论文
| 作者 | Zhao, Yanmin2; Wang, Fenling2; Hu, Xiaohan3; Shi, Zhengguang4; Tang, Yifa1,3
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| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
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| 出版日期 | 2019-09-01 |
| 卷号 | 78期号:5页码:1705-1719 |
| 关键词 | Multi-term time-fractional mixed diffusion-wave equations Linear triangle finite element L1 time-stepping method Crank-Nicolson scheme Unconditional stability Convergence and superconvergence |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2018.11.028 |
| 英文摘要 | A fully-discrete approximate scheme is established for the 2D multi-term time-fractional mixed diffusion and diffusion-wave equations with spatial variable coefficient by using linear triangle finite element method in space and classical L1 time-stepping method combined with Crank-Nicolson scheme in time. Then, the unconditionally stable analysis of the fully-discrete scheme is presented by employing some important lemmas. At the same time, both the spatial superclose property in H-1-norm and convergence result in L-2-norm are derived by skillfully dealing with numerical errors without any restrictions of time step tau and mesh size h. As a necessary way for obtaining the aimed numerical analysis, the relationship between the nonstandard projection operator R-h and the interpolation operator I-h of linear triangle finite element is introduced. Moreover, the global superconvergence is deduced by adopting interpolation postprocessing technique. Finally, numerical tests are provided to illustrate the efficiency and correctness of the theoretical results. (C) 2018 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11771438] ; National Natural Science Foundation of China[11471296] ; Key Scientific Research Projects in Universities of Henan Province, China[198110013] ; Program for Scientific and Technological Innovation Talents in Universities of Henan Province, China[19HASTIT025] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000482248100035 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35379]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Tang, Yifa |
| 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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu 611130, Sichuan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, Yanmin,Wang, Fenling,Hu, Xiaohan,et al. Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2019,78(5):1705-1719. |
| APA | Zhao, Yanmin,Wang, Fenling,Hu, Xiaohan,Shi, Zhengguang,&Tang, Yifa.(2019).Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain.COMPUTERS & MATHEMATICS WITH APPLICATIONS,78(5),1705-1719. |
| MLA | Zhao, Yanmin,et al."Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain".COMPUTERS & MATHEMATICS WITH APPLICATIONS 78.5(2019):1705-1719. |
入库方式： OAI收割
来源：数学与系统科学研究院
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