**Authors:** Yibei Hou, Xuezhe Tian and Gaobiao Xiao

**Source:** FERMAT, Volume 19, Communication 9, Jan-Feb., 2017

**Abstract:** In this presentation, a discontinuous Galerkin augmented electric field integral equation (DG-AEFIE) method based on the domain decomposition is proposed for full-wave solution of multiscale targets. The common surface integral equation based discontinuous Galerkin method allowing both conformal and nonconformal discretizations for multiscale structures suffers from the low-frequency breakdown. By augmenting DG-EFIE with current continuity equation, the proposed scheme can alleviate the low-frequency breakdown. In the augmented system, the EFIE and the current continuity equation are discretizated by using hybrid basis functions including RWG and half RWG basis functions. Since the half RWG basis is not divergence- conforming, line charge degrees of freedom on the adjoining edge are introduced in this work. It is observed that the resulting linear system is well-conditioned at low frequencies, which leads to a rapid convergence over wide frequency band.

**Index Terms:** Discontinuous Galerkin, electric field integral equation, low-frequency breakdown, multiscale problems.

**View PDF**