Discrete Laplace-Beltrami operators and their convergence

doi:10.1016/j.cagd.2004.07.007

CSpace

	Discrete Laplace-Beltrami operators and their convergence
	Xu, GL
	2004-10-01
发表期刊	COMPUTER AIDED GEOMETRIC DESIGN
ISSN	0167-8396
卷号	21 期号:8 页码:767-784
摘要	The convergence property of the discrete Laplace-Beltrami operators is the foundation of convergence analysis of the numerical simulation process of some geometric partial differential equations which involve the operator. In this paper we propose several simple discretization schemes of Laplace-Beltrami operators over triangulated surfaces. Convergence results for these discrete Laplace-Beltrami operators are established under various conditions. Numerical results that support the theoretical analysis are given. Application examples of the proposed discrete Laplace-Beltrami operators in surface processing and modelling are also presented. (C) 2004 Elsevier B.V. All rights reserved.
关键词	Laplace-Beltrami operator surface triangulation discretization convergence
DOI	10.1016/j.cagd.2004.07.007
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000224290700004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19757
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, LSEC, ICMSEC, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Xu, GL. Discrete Laplace-Beltrami operators and their convergence[J]. COMPUTER AIDED GEOMETRIC DESIGN,2004,21(8):767-784.
APA	Xu, GL.(2004).Discrete Laplace-Beltrami operators and their convergence.COMPUTER AIDED GEOMETRIC DESIGN,21(8),767-784.
MLA	Xu, GL."Discrete Laplace-Beltrami operators and their convergence".COMPUTER AIDED GEOMETRIC DESIGN 21.8(2004):767-784.