Integral Equation Discontinuous Galerkin Methods for Time Harmonic Electromagnetic Wave Problems

This work investigates an adaptive discontinuous Galerkin boundary element method for the integral equation based solution of time harmonic Maxwell's Equations. It permits the use of non-conformal surface discretizations, allow mixing different types of elements, and dramatically facilitate the mesh generation for high-definition objects. The choice of interior penalty stabilization parameter, quasi-optimal convergence in the formulation and condition number of the matrices are investigated in this work, and validated by numerical experiments.