An explicit hybridizable discontinuous Galerkin method for the 3D time-domain Maxwell equations - Archive ouverte HAL Access content directly
Conference Papers Year : 2020

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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Dates and versions

hal-01955032 , version 1 (14-12-2018)
hal-01955032 , version 2 (09-01-2020)

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Georges Nehmetallah, Stéphane Lanteri, Stéphane Descombes, Alexandra Christophe. An explicit hybridizable discontinuous Galerkin method for the 3D time-domain Maxwell equations. ICOSAHOM 2018 - International Conference on Spectral and High Order Methods, Jul 2018, London, United Kingdom. ⟨10.1007/978-3-030-39647-3_41⟩. ⟨hal-01955032v2⟩
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