Engineering Analysis with Boundary Elements, ( ISI ), Volume (37), No (12), Year (2013-12) , Pages (1567-1575)

Title : ( Application of variational mesh generation approach for selecting centers of radial basis functions collocation method )

Authors: M. Barfei , Ali Reza Soheili , M. Arabameri ,

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In this paper, a two-dimensional variational mesh generation method is applied to obtain adaptive centers for radial basis functions (RBFs). At first, a set of uniform centers are distributed in the domain, then mesh generation differential equations are used to move the centers to region with high gradients. An iterative algorithm is introduced to solve steady-state mesh generation differential equations with RBFs. Functions with steep variation in the domains are used to validate the adaptive centers generation method. In addition to the centers adaption process is applied to solve elliptic partial differential equations via RBFs collocation method. Numerical results of Helmholtz differential equation show a clear reduction in the error, when the adaptive centers are used for RBFs.

Keywords

Variational mesh generation method; Radial basis function; Collocation method; Elliptic partial differential
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@article{paperid:1036188,
author = {M. Barfei and Soheili, Ali Reza and M. Arabameri},
title = {Application of variational mesh generation approach for selecting centers of radial basis functions collocation method},
journal = {Engineering Analysis with Boundary Elements},
year = {2013},
volume = {37},
number = {12},
month = {December},
issn = {0955-7997},
pages = {1567--1575},
numpages = {8},
keywords = {Variational mesh generation method; Radial basis function; Collocation method; Elliptic partial differential equations},
}

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%0 Journal Article
%T Application of variational mesh generation approach for selecting centers of radial basis functions collocation method
%A M. Barfei
%A Soheili, Ali Reza
%A M. Arabameri
%J Engineering Analysis with Boundary Elements
%@ 0955-7997
%D 2013

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