Quasi-norm a priori and a posteriori error estimates for the nonconforming approximation of p-Laplacian

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	Quasi-norm a priori and a posteriori error estimates for the nonconforming approximation of p-Laplacian
	Liu, WB ; Yan, NN
	2001-08-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	89 期号:2 页码:341-378
摘要	In this paper., we derive quasi-norm a priori and a posteriori error estimates for the Crouzeix-Raviart type finite element approximation of the p-Laplacian. Sharper a priori upper error bounds are obtained. For instance, for sufficiently regular solutions we prove optimal a priori error bounds on the discretization error in an energy norm when 1 < p less than or equal to 2. We also show that the new a posteriori error estimates provide improved upper and lower bounds on the discretization error. For sufficiently regular solutions, the a posteriori error estimates are further shown to be equivalent on the discretization error in a quasi-norm.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000170821900005
出版者	SPRINGER-VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16058
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 a priori and a posteriori error estimates for the nonconforming approximation of p-Laplacian[J]. NUMERISCHE MATHEMATIK,2001,89(2):341-378.
APA	Liu, WB,&Yan, NN.(2001).Quasi-norm a priori and a posteriori error estimates for the nonconforming approximation of p-Laplacian.NUMERISCHE MATHEMATIK,89(2),341-378.
MLA	Liu, WB,et al."Quasi-norm a priori and a posteriori error estimates for the nonconforming approximation of p-Laplacian".NUMERISCHE MATHEMATIK 89.2(2001):341-378.