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A Parallel Algorithm for Adaptive Local Refinement of Tetrahedral Meshes Using Bisection
Zhang, Lin-Bo
2009-02-01
发表期刊NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
ISSN1004-8979
卷号2期号:1页码:65-89
摘要Local 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.
关键词Adaptive refinement bisection tetrahedral mesh parallel algorithm MPI
语种英语
资助项目973 Program of China[2005CB321702] ; China NSF[10531080]
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000274152700004
出版者GLOBAL SCIENCE PRESS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/8883
专题中国科学院数学与系统科学研究院
通讯作者Zhang, Lin-Bo
作者单位Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
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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.
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