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A 3-D Continuous–Discontinuous Galerkin Finite-Element Time-Domain Method for Maxwell's Equations

A 3-D continuous–discontinuous Galerkin (CDG) finite-element time-domain method for Maxwell's equations is proposed to analyze transient electromagnetic problems, which is based on the field variables E and B. This method is aimed at exploiting the advantages of reduced number of unknowns for continuous Galerkin (CG) method and block-diagonal property of discontinuous Galerkin (DG) method. The whole domain is divided into several clusters. The CG is used for the elements in the clusters, and they exchange information with adjacent clusters through traditional numerical fluxes in a DG manner. Moreover, compared to the conventional method based on field variables E and H, the proposed method can eliminate spurious modes. Numerical results demonstrate that the proposed CDG method is superior to the DG method in terms of memory and simulation time.