Isogeometric analysis based on extended Catmull-Clark subdivision | |
Pan, Qing1; Xu, Guoliang2; Xu, Gang3; Zhang, Yongjie4 | |
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. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论