Direct BEM solution of the open boundary Poisson's problem with the TLM method

The use of BEM in piece-homogeneous open Poisson's analysis generally leads to the solution of a linear system of equations where interface potentials and fluxes are the degrees of freedom. In this paper the change in material property is modelled as a single layer source along the interfaces that is modified every step of an iterative process. Therefore, no linear system is to be solved and potential value at any point is computed from a direct boundary integration. The underlying technique is the transmission-line modelling method. The performances of our method are demonstrated through a two-dimensional magnetostatics problem.