Electromagnetic Scattering Analysis using a Hybridizable Discontinuous Galerkin-Boundary Integral Method

A method that couples the hybridizable discontin-uous Galerkin (HDG) and boundary-integral (BI) equation is proposed to efficiently and accurately analyze electromagnetic scattering from composite objects. The coupling between the HDG and the BI equations is realized using the numerical flux operating on the equivalent current and the global unknown of the HDG. A “hybrid” scheme, which uses the multilevel fast multipole method and a direct sparse matrix solver, is developed to efficiently solve the matrix system resulting from the discretization of the coupled HDG and BI equations. The numerical results demonstrate the accuracy, the efficiency, and the applicability of the proposed HDG-BI solver.