CSpace  > 计算数学与科学工程计算研究所
ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS
Zhao, Xuying1,2; Mao, Shipeng1; Shi, Zliong-Ci1
2010-09-01
Source PublicationJOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN0254-9409
Volume28Issue:5Pages:621-644
AbstractIn this paper we study the convergence of adaptive finite element methods for the general non-affine equivalent quadrilateral and hexahedral elements on 1-irregular meshes with hanging nodes. Based on several basic ingredients, such as quasi-orthogonality, estimator reduction and Boiler marking strategy, convergence of the adaptive finite element methods for the general second-order elliptic partial equations is proved. Our analysis is effective for all conforming Q(m) elements which covers both the two- and three-dimensional cases in a unified fashion.
KeywordFinite element method Adaptive algorithm Hanging node 1-irregular mesh Convergence analysis
DOI10.4208/jcm.1001-m3006
Language英语
Funding ProjectSpecial Funds for Major State Basic Research Project[2005CB321701]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000281879100004
PublisherVSP BV
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/9634
Collection计算数学与科学工程计算研究所
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Grad Univ, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhao, Xuying,Mao, Shipeng,Shi, Zliong-Ci. ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2010,28(5):621-644.
APA Zhao, Xuying,Mao, Shipeng,&Shi, Zliong-Ci.(2010).ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS.JOURNAL OF COMPUTATIONAL MATHEMATICS,28(5),621-644.
MLA Zhao, Xuying,et al."ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS".JOURNAL OF COMPUTATIONAL MATHEMATICS 28.5(2010):621-644.
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
[Zhao, Xuying]'s Articles
[Mao, Shipeng]'s Articles
[Shi, Zliong-Ci]'s Articles
Baidu academic
Similar articles in Baidu academic
[Zhao, Xuying]'s Articles
[Mao, Shipeng]'s Articles
[Shi, Zliong-Ci]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Zhao, Xuying]'s Articles
[Mao, Shipeng]'s Articles
[Shi, Zliong-Ci]'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.