Finite element method for a nonsmooth elliptic equation

doi:10.1007/s11464-010-0001-0

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	Finite element method for a nonsmooth elliptic equation
	Chang, Lili 1; Gong, Wei 2; Yan, Ningning 1
	2010-06-01
发表期刊	FRONTIERS OF MATHEMATICS IN CHINA
ISSN	1673-3452
卷号	5 期号:2 页码:191-209
摘要	In this paper, we study the finite element method for a non-smooth elliptic equation. Error analysis is presented, including a priori and a posteriori error estimates as well as superconvergence analysis. We also propose two algorithms for solving the underlying equation. Numerical experiments are employed to confirm our error estimations and the efficiency of our algorithms.
关键词	Finite element method nonsmooth elliptic equation a priori error estimate a posteriori error estimate superconvergence analysis active set method
DOI	10.1007/s11464-010-0001-0
语种	英语
资助项目	National Basic Research Program[2005CB321701] ; National Basic Research Program[2010CB731505] ; National Natural Science Foundation of China[10771211]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000276169000001
出版者	HIGHER EDUCATION 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/9390
专题	中国科学院数学与系统科学研究院
通讯作者	Chang, Lili
作者单位	1.Chinese Acad Sci, Inst Syst Sci, State Key Lab Sci & Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Computat Math, State Key Lab Sci & Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chang, Lili,Gong, Wei,Yan, Ningning. Finite element method for a nonsmooth elliptic equation[J]. FRONTIERS OF MATHEMATICS IN CHINA,2010,5(2):191-209.
APA	Chang, Lili,Gong, Wei,&Yan, Ningning.(2010).Finite element method for a nonsmooth elliptic equation.FRONTIERS OF MATHEMATICS IN CHINA,5(2),191-209.
MLA	Chang, Lili,et al."Finite element method for a nonsmooth elliptic equation".FRONTIERS OF MATHEMATICS IN CHINA 5.2(2010):191-209.