Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes

doi:10.1016/j.amc.2018.06.026

	Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes
	Shi, Z. G.1,2; Zhao, Y. M.1; Liu, F.3; Wang, F. L.1; Tang, Y. F.4,5
	2018-12-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	338 页码:290-304
摘要	The paper mainly focuses on studying nonconforming quasi-Wilson finite element fully-discrete approximation for two dimensional (2D) multi-term time fractional diffusion-wave equation (TFDWE) on regular and anisotropic meshes. Firstly, based on the Crank-Nicolson scheme in conjunction with L1-approximation of the time Caputo derivative of order alpha is an element of (1, 2), a fully-discrete scheme for 2D multi-term TFDWE is established. And then, the approximation scheme is rigorously proved to be unconditionally stable via processing fractional derivative skillfully. Moreover, the superclose result in broken H-1-norm is deduced by utilizing special properties of quasi-Wilson element. In the meantime, the global superconvergence in broken H-1-norm is derived by means of interpolation postprocessing technique. Finally, some numerical results illustrate the correctness of theoretical analysis on both regular and anisotropic meshes. (C) 2018 Elsevier Inc. All rights reserved.
关键词	Multi-term time fractional diffusion-wave equation Nonconforming quasi-Wilson finite element Crank-Nicolson scheme Superclose and superconvergence Anisotropic meshes
DOI	10.1016/j.amc.2018.06.026
语种	英语
资助项目	National Natural Science Foundation of China[11771438] ; National Natural Science Foundation of China[11101381] ; National Natural Science Foundation of China[11471296] ; support program for scientific and technological innovation talents of universities in Henan province[2019]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000441871500023
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31075
专题	计算数学与科学工程计算研究所
通讯作者	Zhao, Y. M.; Liu, F.
作者单位	1.Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China 2.Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu 611130, Sichuan, Peoples R China 3.Queensland Univ Technol, Sch Math Sci, Brisbane, Qld 4001, Australia 4.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Shi, Z. G.,Zhao, Y. M.,Liu, F.,et al. Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes[J]. APPLIED MATHEMATICS AND COMPUTATION,2018,338:290-304.
APA	Shi, Z. G.,Zhao, Y. M.,Liu, F.,Wang, F. L.,&Tang, Y. F..(2018).Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes.APPLIED MATHEMATICS AND COMPUTATION,338,290-304.
MLA	Shi, Z. G.,et al."Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes".APPLIED MATHEMATICS AND COMPUTATION 338(2018):290-304.