CSpace
On quasi-norm interpolation error estimation and a posteriori error estimates for p-Laplacian
Liu, WB; Yan, NN
2002-12-03
Source PublicationSIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN0036-1429
Volume40Issue:5Pages:1870-1895
AbstractIn 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.
Keywordfinite element approximation p-Laplacian a posteriori error estimators quasi norms interpolation error estimates
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000180172100013
PublisherSIAM PUBLICATIONS
Citation statistics
Cited Times:15[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17140
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Liu, WB]'s Articles
[Yan, NN]'s Articles
Baidu academic
Similar articles in Baidu academic
[Liu, WB]'s Articles
[Yan, NN]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Liu, WB]'s Articles
[Yan, NN]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.