An HDG method for Maxwell's equations in heterogeneous media

DOI10.1016/j.cma.2020.113178zbMath1506.74394OpenAlexW3033650472MaRDI QIDQ2021204

Liliana Camargo, Mauricio Osorio, Bibiana López-Rodríguez, Manuel Solano

Publication date: 26 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2020.113178

zbMATH Keywords

heterogeneous mediatime-harmonic Maxwell's equationshybridizable discontinuous GalerkinPhotovoltaic solar cells

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Electromagnetic effects in solid mechanics (74F15) Error bounds for boundary value problems involving PDEs (65N15) Thin films (74K35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Electromagnetic theory (general) (78A25)

Related Items (5)

Foundations of volume integral methods for eddy current problems ⋮ Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation ⋮ A priori error analysis of new semidiscrete, Hamiltonian HDG methods for the time-dependent Maxwell’s equations ⋮ Legendre-tau Chebyshev collocation spectral element method for Maxwell's equations with material interfaces of two dimensional transverse magnetic mode ⋮ An adaptive and quasi-periodic HDG method for Maxwell's equations in heterogeneous media

Uses Software

• Algorithm 949

Cites Work

• Unnamed Item
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• A superconvergent HDG method for the Maxwell equations
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• Algorithm 949
• Numerical investigation of a high order hybridizable discontinuous Galerkin method for 2d time‐harmonic Maxwell's equations
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• An Adaptive Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by Periodic Structures
• An a priori error analysis of an HDG method for an eddy current problem
• Finite Element Methods for Maxwell's Equations
• Analysis of a hybridizable discontinuous Galerkin method for the Maxwell operator

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