A posteriori error estimates for finite element approximation of parabolic p-Laplacian

doi:10.1137/040611008

CSpace

	A posteriori error estimates for finite element approximation of parabolic p-Laplacian
	Carstensen, C ; Liu, WB ; Yan, NN
	2006
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	43 期号:6 页码:2294-2319
摘要	In this paper, we derive a posteriori error estimates in the quasi-norm for the finite element approximation of the parabolic p-Laplacian. We obtain a posteriori error bounds for the semidiscrete scheme and the fully backward Euler discretization. We show that the new a posteriori error estimators provide both upper and lower bounds on the discretization error.
关键词	finite element approximation backward Euler discretization parabolic p-Laplacian a posteriori error estimators quasi-norm error bounds
DOI	10.1137/040611008
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000235426500003
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/3031
专题	中国科学院数学与系统科学研究院
通讯作者	Carstensen, C
作者单位	1.Humboldt Univ, Inst Math, D-10099 Berlin, Germany 2.Xiangtan Univ, Dept Math, Xiangtan, Hunan, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Carstensen, C,Liu, WB,Yan, NN. A posteriori error estimates for finite element approximation of parabolic p-Laplacian[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2006,43(6):2294-2319.
APA	Carstensen, C,Liu, WB,&Yan, NN.(2006).A posteriori error estimates for finite element approximation of parabolic p-Laplacian.SIAM JOURNAL ON NUMERICAL ANALYSIS,43(6),2294-2319.
MLA	Carstensen, C,et al."A posteriori error estimates for finite element approximation of parabolic p-Laplacian".SIAM JOURNAL ON NUMERICAL ANALYSIS 43.6(2006):2294-2319.