Quasi-norm local error estimators for p-Laplacian

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	Quasi-norm local error estimators for p-Laplacian
	Liu, WB ; Yan, NN
	2001-03-23
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	39 期号:1 页码:100-127
摘要	In this paper, we extend the quasi-norm techniques used in a priori error estimation of finite element approximation of degenerate nonlinear systems in order to carry out an improved a posteriori error analysis for the p-Laplacian. We derive quasi-norm a posteriori error estimators of residual type, which are shown to provide improved upper and lower bounds on the discretization error. For sufficiently regular solutions, these estimators are further shown to be equivalent on the discretization error in a quasi norm. Numerical results demonstrating these a posteriori estimators are also presented.
关键词	finite element approximation p-Laplacian a posteriori error estimators quasi-norm error bounds
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000167994100005
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16533
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, WB
作者单位	1.Univ Kent, CBS, Canterbury CT2 7NF, Kent, England 2.Univ Kent, Inst Math & Stat, Canterbury CT2 7NF, Kent, England 3.Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Liu, WB,Yan, NN. Quasi-norm local error estimators for p-Laplacian[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2001,39(1):100-127.
APA	Liu, WB,&Yan, NN.(2001).Quasi-norm local error estimators for p-Laplacian.SIAM JOURNAL ON NUMERICAL ANALYSIS,39(1),100-127.
MLA	Liu, WB,et al."Quasi-norm local error estimators for p-Laplacian".SIAM JOURNAL ON NUMERICAL ANALYSIS 39.1(2001):100-127.