A hybrid-mesh hybridizable discontinuous Galerkin method for solving the time-harmonic Maxwell’s equations

Abstract

This work presents a high-order hybridizable discontinuous Galerkin (HDG) method based on hybrid mesh to solve the two-dimensional time-harmonic Maxwell’s equations. The hybrid mesh consists of unstructured triangular mesh in the domain with complex geometries and structured quadrilateral mesh in the rest domain. The coupling of different meshes is natural in HDG framework. Numerical simulations show that the HDG method on hybrid mesh converges at the optimal rate. One can save computation costs by employing hybrid mesh due to the reduction in number of degrees of freedom (DOFs).