RADIAL BASIS FUNCTION INTERPOLATION IN SOBOLEV SPACES AND ITS APPLICATIONS

• 来源期刊: 计算数学（英文版）
• 关键词: Sobolev space Radial basis function Global data density Meshless method.
• 年，卷（期）: 2007,（2）
• 页码范围: 201-210
• 页数: 10页
• 语种: 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 Hk(Ω) (k ≥ 1). With a special kind of radial basis function, we construct a basis in Hk(Ω) and derive a meshless method for solving elliptic partial differential equations. We also propose a method for computing the global data density.