A discrete scheme of Laplace-Beltrami operator and its convergence over quadrilateral meshes'

doi:10.1016/j.camwa.2007.04.047

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	A discrete scheme of Laplace-Beltrami operator and its convergence over quadrilateral meshes'
	Liu, Dan; Xu, Guoliang; Zhang, Qin
	2008-03-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	55 期号:6 页码:1081-1093
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.
关键词	Laplace-Beltrami operator mean curvature quadrilateral meshes discretization convergence bilinear interpolation
DOI	10.1016/j.camwa.2007.04.047
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000254222200002
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6950
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.