CSpace  > 计算数学与科学工程计算研究所
 Isogeometric finite element approximation of minimal surfaces based on extended loop subdivision Pan, Qing1; Chen, Chong2,3; Xu, Guoliang2 2017-08-15 Source Publication JOURNAL OF COMPUTATIONAL PHYSICS ISSN 0021-9991 Volume 343Pages:324-339 Abstract In this paper, we investigate the formulation of isogeometric analysis for minimal surface models on planar bounded domains by extended Loop surface subdivision approach. The exactness of the physical domain of interest is fixed on the coarsest level of the triangular discretization with any topological structure, which is thought of as the initial control mesh of Loop subdivision. By performing extended Loop subdivision, the control mesh can be repeatedly refined, and the geometry is described as an infinite set of quartic box-spline while maintaining its original exactness. The limit function representation of extended Loop subdivision forms our finite element space, which possesses C-1 smoothness and the flexibility of mesh topology. We establish its inverse inequalities which resemble the ones of general finite element spaces. We develop the approximation estimate with the aid of H-1 convergence property of the corresponding linear models. It enables us to overcome the difficulty of proving the boundedness of the gradient of finite element solutions appearing in the coefficient of minimal surface models. Numerical examples are given with the comparison to the classical linear finite element method which is consistent with our theoretical results. (C) 2017 Elsevier Inc. All rights reserved. Keyword Extended loop subdivision Isogeometric analysis Error estimates Minimal surfaces DOI 10.1016/j.jcp.2017.04.030 Language 英语 Funding Project National Natural Science Foundation of China (NSFC)[11671130] ; Scientific Research Fund of Hunan Provincial Education Department[15A110] ; NSFC[11301520] ; Swedish Foundation for Strategic Research grant[AM13-0049] ; NSFC Funds for Creative Research Groups of China[11321061] WOS Research Area Computer Science ; Physics WOS Subject Computer Science, Interdisciplinary Applications ; Physics, Mathematical WOS ID WOS:000402478300017 Publisher ACADEMIC PRESS INC ELSEVIER SCIENCE Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/25543 Collection 计算数学与科学工程计算研究所 Corresponding Author Pan, Qing Affiliation 1.Hunan Normal Univ, Minist Educ China, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China3.Royal Inst Technol KTH, Dept Math, S-10044 Stockholm, Sweden Recommended CitationGB/T 7714 Pan, Qing,Chen, Chong,Xu, Guoliang. Isogeometric finite element approximation of minimal surfaces based on extended loop subdivision[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2017,343:324-339. APA Pan, Qing,Chen, Chong,&Xu, Guoliang.(2017).Isogeometric finite element approximation of minimal surfaces based on extended loop subdivision.JOURNAL OF COMPUTATIONAL PHYSICS,343,324-339. MLA Pan, Qing,et al."Isogeometric finite element approximation of minimal surfaces based on extended loop subdivision".JOURNAL OF COMPUTATIONAL PHYSICS 343(2017):324-339.
 Files in This Item: There are no files associated with this item.
 Related Services Recommend this item Bookmark Usage statistics Export to Endnote Google Scholar Similar articles in Google Scholar [Pan, Qing]'s Articles [Chen, Chong]'s Articles [Xu, Guoliang]'s Articles Baidu academic Similar articles in Baidu academic [Pan, Qing]'s Articles [Chen, Chong]'s Articles [Xu, Guoliang]'s Articles Bing Scholar Similar articles in Bing Scholar [Pan, Qing]'s Articles [Chen, Chong]'s Articles [Xu, Guoliang]'s Articles Terms of Use No data! Social Bookmark/Share