3-Simplex interpolation of the mixed-potential Green's functions in layered media

The dyadic Green's functions arising from the Method of Moments (MoM) discretization for problems involving layered media require the computation of costly Sommerfeld integrals. Here we propose a scheme to efficiently interpolate the regularized Green's functions by means of a first-order extraction of the singularities. The interpolation scheme is performed in a barycentric coordinate system, which further improves its efficiency. Numerical experiments are presented in order to show the effectiveness of the approach in reducing the matrix filling time.