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.