Title

Matrix Decomposition RBF Algorithm for Solving 3D Elliptic Problems

Document Type

Article

Publication Date

12-1-2009

Department

Mathematics

Abstract

In this study, we propose an efficient algorithm for the evaluation of the particular solutions of three-dimensional inhomogeneous elliptic partial differential equations using radial basis functions. The collocation points are placed on concentric spheres and thus the resulting global matrix possesses a block circulant structure. This structure is exploited to develop an efficient matrix decomposition algorithm for the solution of the resulting system. Further savings in the matrix decomposition algorithm are obtained by the use of fast Fourier transforms. The proposed algorithm is used, in conjunction with the method of fundamental solutions for the solution of three-dimensional inhomogeneous elliptic boundary value problems. (C) 2009 Elsevier Ltd. All rights reserved.

Publication Title

Engineering Analysis With Boundary Elements

Volume

33

Issue

12

First Page

1368

Last Page

1373