Geometrically based preconditioner for the fast multipole method

Efficient solutions of integral numerical methods require the use of effective preconditioners when analyzing electromagnetic radiation problems. In addition to the known disparities in the eigenvalues magnitude values, which are associated to the strong self-coupling of the antennas, combining wire and surface basis functions implies the presence of incoherent quantities from a dimensional point of view. An innovative and ease to compute preconditioner has been developed in this work. It significantly improves the convergence of the iterative solver in radiation problems by a renormalization of the matrix equation, with a negligible impact on the time to solution.