Solution of Poisson's equation by iterative DRBEM using compactly supported, positive definite radial basis function

In the numerical solution of three-dimensional boundary value problems, the matrix size can be so large that it is beyond a computer's capacity to sol ve it. To overcome this difficulty, an iterative dual reciprocity boundary element method (DRBEM) is developed to solve Poisson's equation without the need of assembling a matrix. The DRBEM procedure requires that the right h and side of Poisson's equation be approximated by a radial basis function i nterpolation. In the iterative solution, it is found that only compactly su pported, positive definite radial basis functions lead to converged results . (C) 2000 Elsevier Science Ltd. All rights reserved.