Radial basis function interpolation in Sobolev spaces and its applications

	Radial basis function interpolation in Sobolev spaces and its applications
	Zhang, Manping
刊名	JOURNAL OF COMPUTATIONAL MATHEMATICS
	2007-03-01
卷号	25 期号:2 页码:201-210
关键词	Sobolev space radial basis function global data density meshless method
ISSN号	0254-9409
英文摘要	In this paper we study the method of interpolation by radial basis functions and give some error estimates in Sobolev space H-k(Omega) (k >= 1). With a special kind of radial basis function, we construct a basis in H-k (Omega) and derive a meshless method for solving elliptic partial differential equations. We also propose a method for computing the global data density.
语种	英语
出版者	VSP BV
WOS记录号	WOS:000245004000007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/4450]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Manping
作者单位	1.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China 2.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Manping. Radial basis function interpolation in Sobolev spaces and its applications[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2007,25(2):201-210.
APA	Zhang, Manping.(2007).Radial basis function interpolation in Sobolev spaces and its applications.JOURNAL OF COMPUTATIONAL MATHEMATICS,25(2),201-210.
MLA	Zhang, Manping."Radial basis function interpolation in Sobolev spaces and its applications".JOURNAL OF COMPUTATIONAL MATHEMATICS 25.2(2007):201-210.