An explicit hybridizable discontinuous Galerkin method for the 3D time-domain Maxwell equations

Abstract : We present an explicit hybridizable discontinuous Galerkin (HDG) method for numerically solving the system of three-dimensional (3D) time-domain Maxwell equations. The method is fully explicit similarly to classical so-called DGTD (Dis-continuous Galerkin Time-Domain) methods, is also high-order accurate in both space and time and can be seen as a generalization of the classical DGTD scheme based on upwind fluxes. We provide numerical results aiming at assessing its numerical convergence properties by considering a model problem and we present preliminary results of the superconvergence property on the H curl norm.
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https://hal.archives-ouvertes.fr/hal-01955032
Contributor : Georges Nehmetallah <>
Submitted on : Friday, December 14, 2018 - 10:25:19 AM
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Georges Nehmetallah, Stéphane Lanteri, Stephane Descombes, Alexandra Christophe. An explicit hybridizable discontinuous Galerkin method for the 3D time-domain Maxwell equations. 2018. ⟨hal-01955032⟩

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