Convergence of discrete Laplace-Beltrami operators over surfaces
文献类型：期刊论文
| 作者 | Xu, GL |
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2004-08-01 |
| 卷号 | 48期号:3-4页码:347-360 |
| 关键词 | Laplace-Beltrami operator surface triangulation convergence |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2004.05.001 |
| 英文摘要 | The convergence property of the discrete Laplace-Beltrami operator is the foundation of convergence analysis of the numerical simulation process of some geometric partial differential equations which involve the operator. The aim of this paper is to review several already-used discrete Laplace-Beltrami operators over triangulated surface and study numerically, as well as theoretically, their convergent behavior. We show that none of them is convergent in general, but two of them, proposed by Desbrun et al. and Meyer et al., are convergent in a special case. We point out that this special case is very important in the numerical simulation of geometric partial differential equations. (C) 2004 Elsevier Ltd. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000224364400002 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/896]  |
| 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, Inst Computat Math, LSEC, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, GL. Convergence of discrete Laplace-Beltrami operators over surfaces[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2004,48(3-4):347-360. |
| APA | Xu, GL.(2004).Convergence of discrete Laplace-Beltrami operators over surfaces.COMPUTERS & MATHEMATICS WITH APPLICATIONS,48(3-4),347-360. |
| MLA | Xu, GL."Convergence of discrete Laplace-Beltrami operators over surfaces".COMPUTERS & MATHEMATICS WITH APPLICATIONS 48.3-4(2004):347-360. |
入库方式： OAI收割
来源：数学与系统科学研究院
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