An augmented EFIE with discontinuous Galerkin discretization

The discontinuous Galerkin (DG) method is combined with the augmented electric field integral equation (AEFIE). AEFIE is proved to be stable in the low-frequency regime. The DG method admits non-conformal elements by using square-integrable, basis and test functions during the discretization. The resultant AEFIE-DG formulation is thus suitable solving the low frequency problems with non-conformal mesh. Numerical results are carried out to validate the proposed method.