A class of locally well-posed hybridizable discontinuous Galerkin methods for the solution of time-harmonic Maxwell's equations

DOI10.1016/j.cpc.2015.02.017zbMath1375.78036OpenAlexW2090064304MaRDI QIDQ1682415

Stéphane Lanteri, Liang Li, Ronan Perrussel

Publication date: 30 November 2017

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2015.02.017

zbMATH Keywords

Maxwell's equationsdiscontinuous Galerkin methodslocal well-posednesstime-harmonic Maxwell's equationshybridizable methods

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25)

Related Items

Optimized Schwarz algorithms for solving time-harmonic Maxwell's equations discretized by a hybridizable discontinuous Galerkin method ⋮ Hybridized discontinuous Galerkin methods for wave propagation ⋮ Bernstein-Bézier \(H(\mathrm{curl})\)-conforming finite elements for time-harmonic electromagnetic scattering problems ⋮ A Unified Error Analysis of Hybridizable Discontinuous Galerkin Methods for the Static Maxwell Equations ⋮ A hybridizable discontinuous Galerkin method for solving nonlocal optical response models ⋮ A hybrid-mesh hybridizable discontinuous Galerkin method for solving the time-harmonic Maxwell's equations ⋮ A reduced-order discontinuous Galerkin method based on a Krylov subspace technique in nanophotonics

Uses Software

• MUMPS

Cites Work

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• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Acoustic and electromagnetic equations. Integral representations for harmonic problems
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