Year: 2009
Author: Ting-On Kwok, Leevan Ling
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 3 : pp. 367–382
Abstract
We analyze a least-squares asymmetric radial basis function collocation method for solving the modified Helmholtz equations. In the theoretical part, we proved the convergence of the proposed method providing that the collocation points are sufficiently dense. For numerical verification, direct solver and a subspace selection process for the trial space (the so-called adaptive greedy algorithm) is employed, respectively, for small and large scale problems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-AAMM-8375
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 3 : pp. 367–382
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Radial basis function adaptive greedy algorithm asymmetric collocation Kansa's method convergence analysis.