Isogeometric finite element approximation of minimal surfaces based on extended loop subdivision
文献类型：期刊论文
| 作者 | Pan, Qing1; Chen, Chong2,3 ; Xu, Guoliang2
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| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2017-08-15 |
| 卷号 | 343页码:324-339 |
| 关键词 | Extended loop subdivision Isogeometric analysis Error estimates Minimal surfaces |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2017.04.030 |
| 英文摘要 | 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. |
| 资助项目 | 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研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000402478300017 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25542]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 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 410081, Hunan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Royal Inst Technol KTH, Dept Math, S-10044 Stockholm, Sweden |
| 推荐引用方式 GB/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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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