M. Elansari et al., Boundary solution of Poisson's equation using radial basis function collocated on Gaussian quadrature nodes, COMMUN NUM, 17(7), 2001, pp. 455-464
Citations number
17
Categorie Soggetti
Engineering Mathematics
Journal title
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
In the solution of Poisson's equation using either the dual reciprocity bou
ndary element method or the method of fundamental solution, radial basis fu
nctions (RBFs) are used to approximate the right-hand side of the governing
partial differential equation to eliminate the domain integration. This pa
per shows that if the RBF interpolation is collocated on the Gaussian quadr
ature nodes, we seem to observe superconvergence behaviour. This behaviour
is demonstrated using a series of numerical examples. Copyright (C) 2001 Jo
hn Wiley & Sons, Ltd.