A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term

doi:10.1016/j.matcom.2014.03.008

	A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term
	Shi, Dongyang 1; Tang, Qili 2; Gong, Wei3
	2015-08-01
发表期刊	MATHEMATICS AND COMPUTERS IN SIMULATION
ISSN	0378-4754
卷号	114 页码:25-36
摘要	A low order nonconforming finite element method is combined with the method of characteristics to treat the nonlinear Sobolev equation with convection-dominated term. The optimal order error estimates in a broken H-1-norm and L-2-norm are obtained by some special properties of the interpolation operator and the mean value trick, instead of the so-called elliptic projection which is an indispensable tool in the convergence analysis of the previous literature. In addition, the global superconvergence is derived based on the interpolated postprocessing technique. The theoretical results are confirmed by some numerical experiments. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	Characteristics Sobolev equation Nonconforming finite element The optimal order error estimates Global superconvergence
DOI	10.1016/j.matcom.2014.03.008
语种	英语
资助项目	National Natural Science Foundation of China[10971203] ; National Natural Science Foundation of China[11101384] ; National Natural Science Foundation of China[11271340] ; Specialized Research Fund for the Doctoral Program of Higher Education[20094101110006]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000357222200004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20209
专题	计算数学与科学工程计算研究所
通讯作者	Tang, Qili
作者单位	1.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China 2.Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Shi, Dongyang,Tang, Qili,Gong, Wei. A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term[J]. MATHEMATICS AND COMPUTERS IN SIMULATION,2015,114:25-36.
APA	Shi, Dongyang,Tang, Qili,&Gong, Wei.(2015).A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term.MATHEMATICS AND COMPUTERS IN SIMULATION,114,25-36.
MLA	Shi, Dongyang,et al."A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term".MATHEMATICS AND COMPUTERS IN SIMULATION 114(2015):25-36.