An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations

Alexandra Christophe, Stéphane Descombes and Stéphane Lanteri

Applied Mathematics and Computation, 2018, vol. 319, issue C, 395-408

Abstract: We present a time-implicit hybridizable discontinuous Galerkin (HDG) method for numerically solving the system of three-dimensional (3D) time-domain Maxwell equations. This method can be seen as a fully implicit variant of classical so-called DGTD (Discontinuous Galerkin Time-Domain) methods that have been extensively studied during the last 10 years for the simulation of time-domain electromagnetic wave propagation. The proposed method has been implemented for dealing with general 3D problems discretized using unstructured tetrahedral meshes. We provide numerical results aiming at assessing its numerical convergence properties by considering a model problem on one hand, and its performance when applied to more realistic problems. We also include some performance comparisons with a centered flux time-implicit DGTD method.

Keywords: Maxwell’s equations; Time-domain; Implicit time stepping; Discontinuous Galerkin; Hybridized discontinuous Galerkin (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:319:y:2018:i:c:p:395-408

DOI: 10.1016/j.amc.2017.04.023

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