1 citations · 2 across the 2 of their papers we have counts for
3 papers
math.NA2012
Multiscale methods with compactly supported radial basis functions for Galerkin approximation of elliptic PDEs
Andrew Chernih, Quoc Thong Le Gia
The aim of this work is to consider multiscale algorithms for solving PDEs with Galerkin methods on bounded domains. We provide results on convergence and condition numbers. We sho…
math.NA2012★ 1 cited
Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains
Andrew Chernih, Quoc Thong Le Gia
In this paper, we investigate the application of radial basis functions (RBFs) for the approximation with collocation of the Stokes problem. The approximate solution is constructed…
math.NA2012★ 1 cited
Wendland functions with increasing smoothness converge to a Gaussian
A. Chernih, I. H. Sloan, R. S. Womersley
The Wendland functions are a class of compactly supported radial basis functions with a user-specified smoothness parameter. We prove that with a linear change of variables, both t…