Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient

doi:10.1080/00207160.2019.1639676

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	Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient
	Shi, Y. H.1; Zhao, Y. M.1; Wang, F. L.1; Tang, Y. F.2,3
	2019-07-13
发表期刊	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN	0020-7160
页码	15
摘要	The goal of this paper is to discuss high accuracy analysis of a fully-discrete scheme for 2D multi-term time fractional wave equations with variable coefficient on anisotropic meshes by approximating in space by linear triangular finite element method and in time by Crank-Nicolson scheme. The stability is firstly proved unconditionally. In the analysis of superclose properties, how to deal with the item for variable coefficient is the main difficulty. In order to do this, a new projection operator is defined and the relationship between the proposed projection operator and interpolation operator about linear triangular finite element is deduced. Consequently, the global superconvergence result is obtained by use of interpolation postprocessing technique. The numerical examples show that the proposed numerical method is highly accurate and computationally efficient.
关键词	Multi-term time fractional diffusion-wave equations linear triangular finite element Crank-Nicolson approximation stability superclose and superconvergence
DOI	10.1080/00207160.2019.1639676
语种	英语
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[17A110011] ; Key Scientific Research Projects in Universities of Henan Province[19B110013] ; Program for Scientific and Technological Innovation Talents in Universities of Henan Province[19HASTIT025]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000476107000001
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35313
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, Y. M.
作者单位	1.Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Shi, Y. H.,Zhao, Y. M.,Wang, F. L.,et al. Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2019:15.
APA	Shi, Y. H.,Zhao, Y. M.,Wang, F. L.,&Tang, Y. F..(2019).Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,15.
MLA	Shi, Y. H.,et al."Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS (2019):15.