KMS Of Academy of mathematics and systems sciences, CAS
| Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain | |
Zhao, Yanmin1; Wang, Fenling1; Hu, Xiaohan2; Shi, Zhengguang3; Tang, Yifa2,4
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| 2019-09-01 | |
| Source Publication | COMPUTERS & MATHEMATICS WITH APPLICATIONS
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| ISSN | 0898-1221 |
| Volume | 78Issue:5Pages:1705-1719 |
| Abstract | 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. |
| Keyword | Multi-term time-fractional mixed diffusion-wave equations Linear triangle finite element L1 time-stepping method Crank-Nicolson scheme Unconditional stability Convergence and superconvergence |
| DOI | 10.1016/j.camwa.2018.11.028 |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000482248100035 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35380 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Tang, Yifa |
| Affiliation | 1.Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu 611130, Sichuan, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| Recommended Citation 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. |
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