A discontinuous Galerkin surface integral equation method for scattering from IBC targets

Abstract

A discontinuous Galerkin (DG) surface integral equation method is proposed for electromagnetic scattering from targets with the impedance boundary condition (IBC). We present electric field integral equation (EFIE), magnetic field integral equation (MFIE), and self‐dual integral equation formulations for the problem and study their numerical performance. On the basis of the results of these experiments, DG is developed for EFIE and MFIE (DG‐EFIE and DG‐MFIE). The convergence of the iterative solutions and the solution accuracy of DG‐EFIE and DG‐MFIE are further investigated for a wide range of surface impedances. The numerical performance of these formulations is found to be nearly complementary with respect to the surface impedance. The capability of the proposed DG solution strategy for calculating scattering from large multiscale IBC targets is demonstrated.

A Generalized Transition Matrix Model Combined With Discontinuous Galerkin Method for Open Cavities

“…Then we obtain the RCS results in each case and compare them with the MoM solution in / 20  . Table II demonstrates some comparisons in the different number of the RWGs on the reference surface, where the relative errors of the RCS results are defined according to (24). It can be seen that as the mesh becomes denser, the relative errors between the two methods for calculating the scattering of the rectangular cavity decrease, which means that the ability of the GTM model to grasp the internal scattering characteristics is enhanced.…”

“…The concept of domain decomposition method (DDM) has been embedded into the DG method recently and successfully applied for solving scattering problems with SIE [21], [22]. DG methods based on DDM are widely used for PEC targets [22], homogeneous objects [23] and targets with impedance boundary conditions (IBCs) [24].…”