CSpace
A Parallel Algorithm for Adaptive Local Refinement of Tetrahedral Meshes Using Bisection
Zhang, Lin-Bo
2009-02-01
Source PublicationNUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
ISSN1004-8979
Volume2Issue:1Pages:65-89
AbstractLocal mesh refinement is one of the key steps in the implementations of adaptive finite element methods. This paper presents a parallel algorithm for distributed memory parallel computers for adaptive local refinement of tetrahedral meshes using bisection. This algorithm is used in PHG, Parallel Hierarchical Grid (http://lsec.cc.ac.cn/phg/), a toolbox under active development for parallel adaptive finite element solutions of partial differential equations. The algorithm proposed is characterized by allowing simultaneous refinement of submeshes to arbitrary levels before synchronization between submeshes and without the need of a central coordinator process for managing new vertices. Using the concept of canonical refinement, a simple proof of the independence of the resulting mesh on the mesh partitioning is given, which is useful in better understanding the behaviour of the bisectioning refinement procedure.
KeywordAdaptive refinement bisection tetrahedral mesh parallel algorithm MPI
Language英语
Funding Project973 Program of China[2005CB321702] ; China NSF[10531080]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000274152700004
PublisherGLOBAL SCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/8883
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhang, Lin-Bo
AffiliationChinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Lin-Bo. A Parallel Algorithm for Adaptive Local Refinement of Tetrahedral Meshes Using Bisection[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2009,2(1):65-89.
APA Zhang, Lin-Bo.(2009).A Parallel Algorithm for Adaptive Local Refinement of Tetrahedral Meshes Using Bisection.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2(1),65-89.
MLA Zhang, Lin-Bo."A Parallel Algorithm for Adaptive Local Refinement of Tetrahedral Meshes Using Bisection".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 2.1(2009):65-89.
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
[Zhang, Lin-Bo]'s Articles
Baidu academic
Similar articles in Baidu academic
[Zhang, Lin-Bo]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Zhang, Lin-Bo]'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.