A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients

doi:10.4208/eajam.180420.200720

CSpace

	A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients
	Fan, Huijun 1,2; Zhao, Yanmin 2; Wang, Fenling 2; Shi, Yanhua 2; Tang, Yifa 3,4
	2021-02-01
发表期刊	EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
ISSN	2079-7362
卷号	11 期号:1 页码:63-92
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.
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
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000593119800004
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52538
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.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
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.