Isogeometric analysis based on extended Catmull-Clark subdivision

doi:10.1016/j.camwa.2015.11.012

CSpace

	Isogeometric analysis based on extended Catmull-Clark subdivision
	Pan, Qing 1; Xu, Guoliang 2; Xu, Gang 3; Zhang, Yongjie 4
	2016
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	71 期号:1 页码:105-119
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.
关键词	Catmull-Clark subdivision Isogeometric analysis Computer Aided Design Finite element analysis
DOI	10.1016/j.camwa.2015.11.012
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000369455000007
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21935
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.