Radial basis function interpolation in Sobolev spaces and its applications

CSpace

	Radial basis function interpolation in Sobolev spaces and its applications
	Zhang, Manping
	2007-03-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	25 期号:2 页码:201-210
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.
关键词	Sobolev space radial basis function global data density meshless method
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000245004000007
出版者	VSP 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/4451
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.