Author(s)

C.S. Chen, M. Golberg, M. Ganesh A.H.D. Cheng

Abstract

Compactly supported radial basis functions (CS-BRFs) have been recently introduced in the context of the dual reciprocity method as a possible cure of the ill-conditioning problem when using the classical radial basis functions. However, the scaling factor and slow convergence rate of the CS-RBFs have also raised issues on the effectiveness of the CS-RBFs. In this paper, a multilevel scheme has been proposed to alleviate these problems. 1 Introduction The idea of solving PDEs numerically based on the radial basis functions (RBFs) appro

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