Boundary element dual reciprocity method with overlapping sub-domains

Abstract

In this paper a numerical approach based on the Boundary Element Method (BEM) with overlapping sub-domains is presented. The approach simplifies the assembly of the equations arising from the BEM sub-domain methods and at the same time reduces the problems with near-singular or singular integrals that may arise in the integral equations. The overlapping numerical approach is tested on a convection-diffusion problem. The approach is implemented in combination with the Dual Reciprocity Method (DRM) with two different Radial Basis Functions RBFs) and the results are compared with the previous results obtained using the DRM-MD approach, showing good accuracy and convergence.