A discrete scheme of Laplace-Beltrami operator and its convergence over quadrilateral meshes'
文献类型：期刊论文
| 作者 | Liu, Dan; Xu, Guoliang; Zhang, Qin |
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2008-03-01 |
| 卷号 | 55期号:6页码:1081-1093 |
| 关键词 | Laplace-Beltrami operator mean curvature quadrilateral meshes discretization convergence bilinear interpolation |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2007.04.047 |
| 英文摘要 | Laplace-Beltrami operator and its discretization play a central role in the fields of image processing, computer graphics, computer aided geometric design and so oil. In this paper, a discrete scheme for Laplace-Beltrami operator over quadrilateral meshes is constructed based oil a bilinear interpolation of the quadrilateral. Convergence results for the proposed discrete scheme are established under some conditions. Numerical results Which justify the theoretical analysis are also given. (C) 2007 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000254222200002 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6949]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, Guoliang |
| 作者单位 | Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Dan,Xu, Guoliang,Zhang, Qin. A discrete scheme of Laplace-Beltrami operator and its convergence over quadrilateral meshes'[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2008,55(6):1081-1093. |
| APA | Liu, Dan,Xu, Guoliang,&Zhang, Qin.(2008).A discrete scheme of Laplace-Beltrami operator and its convergence over quadrilateral meshes'.COMPUTERS & MATHEMATICS WITH APPLICATIONS,55(6),1081-1093. |
| MLA | Liu, Dan,et al."A discrete scheme of Laplace-Beltrami operator and its convergence over quadrilateral meshes'".COMPUTERS & MATHEMATICS WITH APPLICATIONS 55.6(2008):1081-1093. |
入库方式： OAI收割
来源：数学与系统科学研究院
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