WIT Press


Radial Basis Function Selection In 3D DRM-MD For Potential Problems

Price

Free (open access)

Paper DOI

10.2495/BE040111

Volume

37

Pages

10

Published

2004

Size

346 kb

Author(s)

B. Natalini & V. Popov

Abstract

The DRM based procedures are sensitive to the selection of the function used in the DRM approximation, and hence the Dual Reciprocity Method - Multi Domain approach (DRM-MD) encounters the same drawback. For 3D problems, there is no information available on the performance of DRM-MD using different approximation functions. Here, the accuracy of two DRM-MD codes that solve the Poisson and the advection-diffusion equations in 3D domains have been tested using nine different approximation functions. The most accurate results were obtained using Compactly Supported Radial Basis Functions (CSRBF), however accurate results with these functions can be obtained only if the suitable size of the support is known a priori. As a general procedure to determine the optimum value of the size of the sup

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