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

doi:10.1016/j.camwa.2007.04.047

	A discrete scheme of Laplace-Beltrami operator and its convergence over quadrilateral meshes'
	Liu, Dan; Xu, Guoliang; Zhang, Qin
刊名	COMPUTERS & MATHEMATICS WITH APPLICATIONS
	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
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000254222200002
内容类型	期刊论文
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.