Performance Improvement of Extended Boundary Node Method

Abstract

The extended boundary node method (X-BNM) with the radial point interpolation method (RPIM) shape function is proposed and its performance is numerically investigated by comparing with the dual reciprocity boundary element method (DRM). The results of computations show that the accuracy of the X-BNM is almost equal to that of the DRM. In addition, the speed of the X-BNM with the RPIM shape function is almost equal to that of the DRM. Therefore, not only the DRM but also the X-BNM with the RPIM shape function is a powerful method for solving the Poisson problem.Index Terms-Boundary value problems, Green's function methods, integral equations, least squares approximation.