Year: 2013
Author: Ahmad Shirzadi, Leevan Ling
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 1 : pp. 78–89
Abstract
This paper deals with the solvability and the convergence of a class of unsymmetric Meshless Local Petrov-Galerkin (MLPG) method with radial basis function (RBF) kernels generated trial spaces. Local weak-form testings are done with step-functions. It is proved that subject to sufficiently many appropriate testings, solvability of the unsymmetric RBF-MLPG resultant systems can be guaranteed. Moreover, an error analysis shows that this numerical approximation converges at the same rate as found in RBF interpolation. Numerical results (in double precision) give good agreement with the provided theory.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.11-m11168
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 1 : pp. 78–89
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Local integral equations meshless methods radial basis functions overdetermined systems solvability convergence.