Discrete Laplace-Beltrami operators and their convergence
文献类型：期刊论文
| 作者 | Xu, GL |
| 刊名 | COMPUTER AIDED GEOMETRIC DESIGN
 |
| 出版日期 | 2004-10-01 |
| 卷号 | 21期号:8页码:767-784 |
| 关键词 | Laplace-Beltrami operator surface triangulation discretization convergence |
| ISSN号 | 0167-8396 |
| DOI | 10.1016/j.cagd.2004.07.007 |
| 英文摘要 | The convergence property of the discrete Laplace-Beltrami operators is the foundation of convergence analysis of the numerical simulation process of some geometric partial differential equations which involve the operator. In this paper we propose several simple discretization schemes of Laplace-Beltrami operators over triangulated surfaces. Convergence results for these discrete Laplace-Beltrami operators are established under various conditions. Numerical results that support the theoretical analysis are given. Application examples of the proposed discrete Laplace-Beltrami operators in surface processing and modelling are also presented. (C) 2004 Elsevier B.V. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000224290700004 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19756]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, GL |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, GL. Discrete Laplace-Beltrami operators and their convergence[J]. COMPUTER AIDED GEOMETRIC DESIGN,2004,21(8):767-784. |
| APA | Xu, GL.(2004).Discrete Laplace-Beltrami operators and their convergence.COMPUTER AIDED GEOMETRIC DESIGN,21(8),767-784. |
| MLA | Xu, GL."Discrete Laplace-Beltrami operators and their convergence".COMPUTER AIDED GEOMETRIC DESIGN 21.8(2004):767-784. |
入库方式： OAI收割
来源：数学与系统科学研究院
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