Discrete schemes for Gaussian curvature and their convergence
文献类型：期刊论文
| 作者 | Xu, Zhiqiang ; Xu, Guoliang
|
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2009-04-01 |
| 卷号 | 57期号:7页码:1187-1195 |
| 关键词 | Discrete surfaces Gaussian curvature Discrete curvature Geometric modelling Angular defect schemes |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2009.01.024 |
| 英文摘要 | The popular angular defect schemes for Gaussian curvature only converge at the regular vertex with valence 6. In this paper, we present a new discrete scheme for Gaussian curvature, which converges at the regular vertex with valence greater than 4. We show that it is impossible to build a discrete scheme for Gaussian curvature which converges at the regular vertex with valence 4 by a counterexample. We also study the convergence property of other discrete schemes for Gaussian curvature and compare their asymptotic errors by numerical experiments. (C) 2009 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000265129000013 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8516]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Xu, Zhiqiang |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci & Eng Comp, LSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Zhiqiang,Xu, Guoliang. Discrete schemes for Gaussian curvature and their convergence[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2009,57(7):1187-1195. |
| APA | Xu, Zhiqiang,&Xu, Guoliang.(2009).Discrete schemes for Gaussian curvature and their convergence.COMPUTERS & MATHEMATICS WITH APPLICATIONS,57(7),1187-1195. |
| MLA | Xu, Zhiqiang,et al."Discrete schemes for Gaussian curvature and their convergence".COMPUTERS & MATHEMATICS WITH APPLICATIONS 57.7(2009):1187-1195. |
入库方式： OAI收割
来源：数学与系统科学研究院
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