Analysis of a hybridizable discontinuous Galerkin method for the Maxwell operator

DOI10.1051/m2an/2019007zbMath1416.78023arXiv1805.09291OpenAlexW2964155488WikidataQ128139403 ScholiaQ128139403MaRDI QIDQ5226430

Liwei Xu, Gang Chen, Jintao Cui

Publication date: 31 July 2019

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09291

zbMATH Keywords

Maxwell equationslow regularityHDG method

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Physical optics (78A10)

Related Items (6)

An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence ⋮ A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics ⋮ A priori error analysis of new semidiscrete, Hamiltonian HDG methods for the time-dependent Maxwell’s equations ⋮ Analysis of HDG method for the reaction-diffusion equations ⋮ A Unified Error Analysis of Hybridizable Discontinuous Galerkin Methods for the Static Maxwell Equations ⋮ An HDG method for Maxwell's equations in heterogeneous media

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