Discrete Laplace-Beltrami operator on sphere and optimal spherical triangulations

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	Discrete Laplace-Beltrami operator on sphere and optimal spherical triangulations
	Xu, GL
	2006-02-01
发表期刊	INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS
ISSN	0218-1959
卷号	16 期号:1 页码:75-93
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.
关键词	Laplace-Beltrami operator convergence spherical triangulation truncation error
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:000236068200004
出版者	WORLD SCIENTIFIC PUBL CO PTE 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/2501
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.