A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients
文献类型：期刊论文
| 作者 | Fan, Huijun1,4; Zhao, Yanmin4; Wang, Fenling4; Shi, Yanhua4; Tang, Yifa2,3 |
| 刊名 | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
 |
| 出版日期 | 2021-02-01 |
| 卷号 | 11期号:1页码:63-92 |
| ISSN号 | 2079-7362 |
| 关键词 | Nonconforming mixed FEM multi-term time-fractional mixed diffusion and diffusion-wave equations L1 time-stepping method Crank-Nicolson scheme convergence and superconvergence |
| DOI | 10.4208/eajam.180420.200720 |
| 英文摘要 | An unconditionally stable fully-discrete scheme on regular and anisotropic meshes for multi-term time-fractional mixed diffusion and diffusion-wave equations (TFMDDWEs) with variable coefficients is developed. The approach is based on a nonconforming mixed finite element method (FEM) in space and classical L1 time-stepping method combined with the Crank-Nicolson scheme in time. Then, the unconditionally stability analysis of the fully-discrete scheme is presented. The convergence for the original variable u and the flux (p) over right arrow = mu(x)del u, respectively, in H-1- and L-2-norms is derived by using the relationship between the projection operator R-h and the interpolation operator Ih. Interpolation postprocessing technique is used to establish superconvergence results. Finally, numerical tests are provided to demonstrate the theoretical analysis. |
| 资助项目 | National Natural Science Foundation of China[11971416] ; Program for Scientific and Technological Innovation Talents in Universities of Henan Province[19HASTIT025] ; Key Scientific Research Projects in Universities of Henan Province[19B110013] ; Foundation for University Key Young Teacher of Henan Province[2019GGJS214] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | GLOBAL SCIENCE PRESS |
| WOS记录号 | WOS:000593119800004 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52537]  |
| 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.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 4.Xuchang Univ, Sch Sci, Xuchang 461000, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fan, Huijun,Zhao, Yanmin,Wang, Fenling,et al. A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,2021,11(1):63-92. |
| APA | Fan, Huijun,Zhao, Yanmin,Wang, Fenling,Shi, Yanhua,&Tang, Yifa.(2021).A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,11(1),63-92. |
| MLA | Fan, Huijun,et al."A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients".EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 11.1(2021):63-92. |
入库方式： OAI收割
来源：数学与系统科学研究院
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