Author(s)

C.C. Tsai, D.L. Young A.H.-D. Cheng

Abstract

In the numerical solution of three-dimensional boundary value problems, the large matrix size can pose memory and computational problems. To overcome this difficulty, an iterative dual reciprocity boundary element method is developed to solve Poisson's equation without the need of assembling a matrix. The compactly supported, positive-definite radial basis functions are used to approximate the right hand side of Poisson's equation. Suitable iterative method is then used to solve both the radial basis function collocation matrix and the linear system of the BEM. 1 Introduction In the numerical solution of complex three-dimensional problems, a large number of discrete unknowns are requir

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