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Isogeometric analysis based on extended Catmull-Clark subdivision

文献类型：期刊论文

作者Pan, Qing1; Xu, Guoliang2; Xu, Gang3; Zhang, Yongjie4
刊名COMPUTERS & MATHEMATICS WITH APPLICATIONS
出版日期2016
卷号71期号:1页码:105-119
关键词Catmull-Clark subdivision Isogeometric analysis Computer Aided Design Finite element analysis
ISSN号0898-1221
DOI10.1016/j.camwa.2015.11.012
英文摘要In this paper, we propose a subdivision-based finite element method as an integration of the isogeometric analysis (IGA) framework which adopts the uniform representation for geometric modeling and finite element simulation. The finite element function space is induced from the limit form of Catmull-Clark surface subdivision containing boundary subdivision schemes which has Cl continuity everywhere. It is capable of exactly representing complex geometries with any shaped boundaries which are represented as piecewise cubic B-spline curves. It is compatible with modern Computer Aided Design (CAD) software systems. The advantage of this strategy admits quadrilateral meshes of arbitrary topology. In this work, the computational domains with planar geometries are considered. We establish the approximation properties of Catmull-Clark surface subdivision function based on the Bramble-Hilbert lemma. Numerical tests are performed through three Poisson's equations with the Dirichlet boundary condition to corroborate the theoretical proof. (C) 2015 Elsevier Ltd. All rights reserved.
资助项目National Natural Science Foundation of China[11171103] ; Scientific Research Fund of Hunan Provincial Education Department[15A110] ; NSFC Funds for Creative Research Groups of China[11321061] ; National Nature Science Foundation of China[61472111] ; Zhejiang Provincial Natural Science Foundation of China[LR16F020003] ; NSF CAREER Award[OCI-1149591] ; ONR-YIP award[N00014-10-1-0698] ; AFOSR grant[FA9550-11-1-0346]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000369455000007
出版者PERGAMON-ELSEVIER SCIENCE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21934]  
专题中国科学院数学与系统科学研究院
通讯作者Pan, Qing
作者单位1.Hunan Normal Univ, Minist Educ China, Key Lab High Performance Comp & Stochast Informat, Changsha, Hunan, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing, Peoples R China
3.Hangzhou Dianzi Univ, Dept Comp Sci, Hangzhou 310018, Zhejiang, Peoples R China
4.Carnegie Mellon Univ, Dept Mech Engn, Pittsburgh, PA 15213 USA
推荐引用方式
GB/T 7714		 Pan, Qing,Xu, Guoliang,Xu, Gang,et al. Isogeometric analysis based on extended Catmull-Clark subdivision[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2016,71(1):105-119.
APA Pan, Qing,Xu, Guoliang,Xu, Gang,&Zhang, Yongjie.(2016).Isogeometric analysis based on extended Catmull-Clark subdivision.COMPUTERS & MATHEMATICS WITH APPLICATIONS,71(1),105-119.
MLA Pan, Qing,et al."Isogeometric analysis based on extended Catmull-Clark subdivision".COMPUTERS & MATHEMATICS WITH APPLICATIONS 71.1(2016):105-119.

入库方式： OAI收割

来源：数学与系统科学研究院

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