Authors: L. D. Angulo, J. Alvarez, M. F. Pantoja, S. G. Garcia, and A. R. Bretones
Source: FERMAT, Volume 10, Article 4, Jul_Aug, 2015
Abstract: This text reviews the state of the art of the Discontinuous Galerkin (DG) method applied to the solution of the Maxwell’s equations in Time Domain (TD). The work is divided into two parts. In the first part, the mathematical formulation of the DGTD method, together with a review and a discussion on the different ways to implement it is presented. The second part presents models and techniques to address usual needs in electromagnetic simulations such as plane wave illumination, local electromagnetic sources, wave port modeling, dispersive and/or anisotropic materials and sub-cell models, including lumped elements, thin layers, surface impedances, and thin wires.
Index Terms: Discontinuous Galerkin Methods, Maxwell’s equations, Computational Electromagnetics
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Discontinuous Galerkin Time Domain Methods in Computational Electrodynamics: State of the Art