WIT Press


The Method Of Fundamental Solutions And Compactly Supported Radial Basis Functions: A Meshless Approach To 3D Problems

Price

Free (open access)

Paper DOI

10.2495/BE990501

Volume

25

Pages

10

Published

1999

Size

787 kb

Author(s)

C.S. Chen, M.D. Marcozzi & S. Chof

Abstract

A simple mesh/grid free numerical method for Poisson's equation has been developed to solve large scale problems in three-dimensions, In this paper, the Poisson's equation is split into two parts by using the method of par- ticular solutions; the particular solution being approximated by the dual reciprocity method (DRM). In the DRM, we choose compactly supported radial basis functions for the interpolation of the forcing term. To then achieve a true meshless method, we employ the method of fundamental so- lutions (MFS) in order to solve the resulting homogeneouse quation. The approach developed here is especially attractive for

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