The Method Of Fundamental Solutions And Compactly Supported Radial Basis Functions: A Meshless Approach To 3D Problems
Price
Free (open access)
Transaction
Volume
25
Pages
10
Published
1999
Size
787 kb
Paper DOI
10.2495/BE990501
Copyright
WIT Press
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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