On quasi-norm interpolation error estimation and a posteriori error estimates for p-Laplacian

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	On quasi-norm interpolation error estimation and a posteriori error estimates for p-Laplacian
	Liu, WB ; Yan, NN
	2002-12-03
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	40 期号:5 页码:1870-1895
摘要	In this paper, we establish a series of interpolation error estimates for several widely used averaging interpolators in some quasi norms. These estimates are among the key ingredients in our improved a posteriori error analysis for the p-Laplacian. The quasi-norm interpolation error estimates are used to derive a posteriori error estimators for some conforming and nonconforming finite element approximation of the p-Laplacian, which are shown to provide upper and lower bounds for the discretization error.
关键词	finite element approximation p-Laplacian a posteriori error estimators quasi norms interpolation error estimates
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000180172100013
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/17140
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, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Liu, WB,Yan, NN. On quasi-norm interpolation error estimation and a posteriori error estimates for p-Laplacian[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2002,40(5):1870-1895.
APA	Liu, WB,&Yan, NN.(2002).On quasi-norm interpolation error estimation and a posteriori error estimates for p-Laplacian.SIAM JOURNAL ON NUMERICAL ANALYSIS,40(5),1870-1895.
MLA	Liu, WB,et al."On quasi-norm interpolation error estimation and a posteriori error estimates for p-Laplacian".SIAM JOURNAL ON NUMERICAL ANALYSIS 40.5(2002):1870-1895.