A discontinuous Galerkin augmented electric field integral equation for low-frequency electromagnetic scattering analysis

We present a discontinuous Galerkin augmented electric filed integral equation, hereafter referred to as AEFIE-DG, for low-frequency electromagnetic analysis. This augmented equation is obtained by combining the discontinuous (DG) electric field integral equation (EFIE) with the current continuity equation. Surface and line charges, which reside respectively on the discretization elements and their adjoining contours, are introduced based on the discontinuity of surface currents. The proposed method is stable in low frequency regime, and suitable for non-conformal mesh. Its capability and stability are validated by numerical examples.