Isogeometric analysis based on extended Catmull-Clark subdivision

doi:10.1016/j.camwa.2015.11.012

	Isogeometric analysis based on extended Catmull-Clark subdivision
	Pan, Qing 1; Xu, Guoliang 2; Xu, Gang 3; Zhang, Yongjie 4
刊名	COMPUTERS & MATHEMATICS WITH APPLICATIONS
	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
DOI	10.1016/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
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000369455000007
内容类型	期刊论文
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.