An hybrid Calderón-hierarchical preconditioner for the EFIE analysis of radiation and scattering from PEC bodies.

A new approach to discretize the electric field integral equation (EFIE) that hybridizes Calderon and hierarchical techniques is presented. The benefits of these two techniques are combined and inherited by the proposed method. The result is an EFIE solver which is immune from low-frequency breakdown, well-conditioned in the presence of densely discretized structures and exhibits only minimal computational overhead. The hybridization is achieved by observing that hierarchical techniques link the conditioning of the global EFIE problem to that of a reduced size problem that can be successfully regularized by a properly tailored Calderon approach. Numerical results will show the performance of the proposed method and its advantages over to the state of the art.