KMS Of Academy of mathematics and systems sciences, CAS
| A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients | |
| Fan, Huijun1,2; Zhao, Yanmin2; Wang, Fenling2; Shi, Yanhua2; Tang, Yifa3,4 | |
| 2021-02-01 | |
| Source Publication | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
 |
| ISSN | 2079-7362 |
| Volume | 11Issue:1Pages:63-92 |
| Abstract | 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. |
| Keyword | 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 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000593119800004 |
| Publisher | GLOBAL SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/52538 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhao, Yanmin |
| Affiliation | 1.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China 2.Xuchang Univ, Sch Sci, Xuchang 461000, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation 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. |
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