Solutions of 2D and 3D non-homogeneous potential problems by using a boundary element-collocation method

This paper presents the boundary element method for the numerical simulation of 2D and 3D nonhomogeneous potential problems. A novel technique, called recursive composite multiple reciprocity method (RCMRM), is introduced to avoid the domain integral of the non-homogenous equation in the boundary element method (BEM). The proposed method has no requirement of domain discretization, and thus is a truly boundary-type numerical method. Numerical results illustrate that the present method is computationally efficient, accurate, and convergent with an increasing number of boundary elements and collocation points. (C) 2015 Elsevier Ltd. All rights reserved.