Discrete Laplace-Beltrami operator on sphere and optimal spherical triangulations
文献类型：期刊论文
| 作者 | Xu, GL |
| 刊名 | INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS
 |
| 出版日期 | 2006-02-01 |
| 卷号 | 16期号:1页码:75-93 |
| 关键词 | Laplace-Beltrami operator convergence spherical triangulation truncation error |
| ISSN号 | 0218-1959 |
| 英文摘要 | In this paper we first modify a widely used discrete Laplace-Beltrami operator proposed by Meyer et al over triangular surfaces, and then we show that the modified discrete operator has some convergence properties over the triangulated spheres. A sequence of spherical triangulations which is optimal in certain sense and leads to smaller truncation error of the discrete Laplace-Beltrami operator is constructed. Optimal hierarchical spherical triangulations are also given. Truncation error bounds of the discrete Laplace-Beltrami operator over the constructed triangulations are provided. |
| 语种 | 英语 |
| WOS记录号 | WOS:000236068200004 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2500]  |
| 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 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, GL. Discrete Laplace-Beltrami operator on sphere and optimal spherical triangulations[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS,2006,16(1):75-93. |
| APA | Xu, GL.(2006).Discrete Laplace-Beltrami operator on sphere and optimal spherical triangulations.INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS,16(1),75-93. |
| MLA | Xu, GL."Discrete Laplace-Beltrami operator on sphere and optimal spherical triangulations".INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS 16.1(2006):75-93. |
入库方式： OAI收割
来源：数学与系统科学研究院
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