Implementation of DG-fem with dynamic Julia language for accurate EM simulation

Discontinuous Galerkin finite element method (DG-FEM) for electromagnetic simulation is implemented using the Julia language in this work. DG-FEM is a combination of finite element method and finite volume method and it employs high-order spatial and temporal basis to obtain high-order accuracy. Julia is a relative new language specially built for high performance computing. It is adopted in DG-FEM for two EM simulation examples and compared the results with both MATLAB implementation and analytical results. The comparisons prove the accuracy of both the DG-FEM method and the Julia language. Finally potential applications of this work are discussed.