CSpace  > 计算数学与科学工程计算研究所
AN ADAPTIVE IMMERSED FINITE ELEMENT METHOD WITH ARBITRARY LAGRANGIAN-EULERIAN SCHEME FOR PARABOLIC EQUATIONS IN TIME VARIABLE DOMAINS
Chen, Zhiming1; Wu, Zedong2; Xiao, Yuanming3
2015
Source PublicationINTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN1705-5105
Volume12Issue:3Pages:567-591
AbstractWe first propose an adaptive immersed finite element method based on the a posteriori error estimate for solving elliptic equations with non-homogeneous boundary conditions in general Lipschitz domains. The underlying finite element mesh need not fit the boundary of the domain. Optimal a priori error estimate of the proposed immersed finite element method is proved. The immersed finite element method is then used to solve parabolic problems in time variable domains together with an arbitrary Lagrangian-Eulerian (ALE) time discretization scheme. An a posteriori error estimate for the fully discrete immersed finite element method is derived which can be used to adaptively update the time step sizes and finite element meshes at each time step. Numerical experiments are reported to support the theoretical results.
KeywordImmersed finite element adaptive a posteriori error estimate time variable domain
Language英语
Funding ProjectNational Basic Research Project[2011CB309700] ; China NSF[11021101] ; China NSF[11321061] ; China NSF[11101208] ; Fundamental Research Funds for the Central Universities[1118020303]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000361156800007
PublisherISCI-INST SCIENTIFIC COMPUTING & INFORMATION
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20753
Collection计算数学与科学工程计算研究所
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100190, Peoples R China
3.Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
Recommended Citation
GB/T 7714
Chen, Zhiming,Wu, Zedong,Xiao, Yuanming. AN ADAPTIVE IMMERSED FINITE ELEMENT METHOD WITH ARBITRARY LAGRANGIAN-EULERIAN SCHEME FOR PARABOLIC EQUATIONS IN TIME VARIABLE DOMAINS[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2015,12(3):567-591.
APA Chen, Zhiming,Wu, Zedong,&Xiao, Yuanming.(2015).AN ADAPTIVE IMMERSED FINITE ELEMENT METHOD WITH ARBITRARY LAGRANGIAN-EULERIAN SCHEME FOR PARABOLIC EQUATIONS IN TIME VARIABLE DOMAINS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,12(3),567-591.
MLA Chen, Zhiming,et al."AN ADAPTIVE IMMERSED FINITE ELEMENT METHOD WITH ARBITRARY LAGRANGIAN-EULERIAN SCHEME FOR PARABOLIC EQUATIONS IN TIME VARIABLE DOMAINS".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 12.3(2015):567-591.
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
[Chen, Zhiming]'s Articles
[Wu, Zedong]'s Articles
[Xiao, Yuanming]'s Articles
Baidu academic
Similar articles in Baidu academic
[Chen, Zhiming]'s Articles
[Wu, Zedong]'s Articles
[Xiao, Yuanming]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Chen, Zhiming]'s Articles
[Wu, Zedong]'s Articles
[Xiao, Yuanming]'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.