RADIAL BASIS FUNCTION INTERPOLATION IN SOBOLEV SPACES AND ITS APPLICATIONS

作     者：Manping Zhang (School of Mathematical Sciences,Fudan University,Shanghai 200433,China Institute of Computational Mathematics,Chinese Academy of Sciences,Beijing 100080,China 

作者机构：School of Mathematical Sciences Fudan University Shanghai 200433 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2007年第25卷第2期

页      面：201-210页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070102[理学-计算数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Sobolev space Radial basis function Global data density Meshless method 

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（Ω） （k 〉 1）. With a special kind of radial basis function, we construct a basis in H^k（Ω） and derive a meshless method for solving elliptic partial differential equations. We also propose a method for computing the global data density.