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

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 ha...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 319; pp. 395 - 408
Main Authors Christophe, Alexandra, Descombes, Stéphane, Lanteri, Stéphane
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.02.2018
Elsevier
Subjects
Computer Science
Discontinuous Galerkin
Hybridized discontinuous Galerkin
Implicit time stepping
Maxwell’s equations
Modeling and Simulation
Time-domain
Implicit time stepping
Discontinuous Galerkin
Hybridized discontinuous Galerkin
Time-domain
Maxwell’s equations
implicit time stepping
discontinuous Galerkin
time-domain
Maxwell's equations
hybridized discontinuous Galerkin
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Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2017.04.023