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Radial Basis Function Interpolation in Sobolev Spaces and Its Applications

Radial Basis Function Interpolation in Sobolev Spaces and Its Applications

Year:    2007

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 2 : pp. 201–210

Abstract

In this paper we study the method of interpolation by radial basis functions and give some error estimates in Sobolev space Hk(Ω) (k1). 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-JCM-8685

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 2 : pp. 201–210

Published online:    2007-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Sobolev space Radial basis function Global data density Meshless method.