@Article{JCM-25-201, author = {}, title = {Radial Basis Function Interpolation in Sobolev Spaces and Its Applications}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {2}, pages = {201--210}, abstract = {

In this paper we study the method of interpolation by radial basis functions and give some error estimates in Sobolev space $H^k(\Omega)$ $(k \geq 1)$. 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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8685.html} }