High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes

doi:10.1080/00207160.2017.1401708

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	High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes
	Zhang, Y. D.1; Zhao, Y. M.1; Wang, F. L.1; Tang, Y. F.2,3
	2018
发表期刊	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN	0020-7160
卷号	95 期号:1 页码:218-230
摘要	Employing finite element method in spatial direction and Crank-Nicolson scheme in temporal direction, a fully discrete scheme with high accuracy is established for a class of two-dimensional time fractional diffusion-wave equation with Caputo fractional derivative. Unconditional stability analysis of the approximate scheme is proposed. The spatial global superconvergence and temporal convergence of order O(h(2) + tau(3-alpha)) for the original variable in H-1-norm is presented by means of properties of bilinear element and interpolation postprocessing technique without Ritz projection, where h and tau are the step sizes in space and time, respectively. Finally, several numerical results are implemented to evaluate the efficiency of the theoretical results on both regular and anisotropic meshes.
关键词	Time fractional diffusion-wave equation finite element method Crank-Nicolson scheme stability convergence and superconvergence
DOI	10.1080/00207160.2017.1401708
语种	英语
资助项目	National Natural Science Foundation of China[11101381] ; National Natural Science Foundation of China[11771438] ; Outstanding Young Talents Training Plan by Xuchang University
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000428749300014
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/30058
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, 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	Zhang, Y. D.,Zhao, Y. M.,Wang, F. L.,et al. High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2018,95(1):218-230.
APA	Zhang, Y. D.,Zhao, Y. M.,Wang, F. L.,&Tang, Y. F..(2018).High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,95(1),218-230.
MLA	Zhang, Y. D.,et al."High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 95.1(2018):218-230.