Using subdivision surface technique to solve generalized debye sources based EFIE

In this work, we extend the idea of generalized Debye sources (GDS) method to electric field integral equation (EFIE) and establish a new well-conditioned GDS-EFIE. The principal challenge in implementing this approach arises from the difficulty in developing a robust solver for the surface Laplacian equation. In this paper, we propose using subdivision surfaces that permits such a solution due to the higher order continuous nature of the surface representation. This permits an efficient and effective solution. Thus, GDS-EFIE can be resolved within isogeometric analysis framework as an emerging approach for design-through-analysis. Several numerical results are provided to validate the proposed formulation.