Use of transmission-line modelling in BEM for solution of piece-homogeneous static field problems

The use of the boundary element method (BEM) in piece-homogeneous static field problems generally consists of treating the different regions separately while some continuity conditions are considered on the interfaces. This leads to a linear system of equations where both the interface potential and its normal derivative are components of the vector of unknowns. In the paper the change in material property with respect to a reference is modelled as a single layer along the interfaces so that the nonhomogeneity appears as a source term in the right-hand side of the linear system. No degree of freedom is associated in the interface that reduces the size of the problem. An iterative scheme emerges with an unconditional convergence to the solution. The underlying technique is the transmission line modelling method. The two-dimensional Laplace problem is considered and the efficiency of the method is demonstrated through some examples