Convergence analysis of a hp‐finite element approximation of the time‐harmonic Maxwell equations with impedance boundary conditions in domains with an analytic boundary

DOI10.1002/num.22508OpenAlexW4299858212MaRDI QIDQ6088429

Serge Nicaise, Jérôme Tomezyk

Publication date: 14 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22508

zbMATH Keywords

finite elementsMaxwell equationsabsorbing boundary conditionssmooth domains

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

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A simple proof that the \textit{hp}-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation, Bernstein-Bézier \(H(\mathrm{curl})\)-conforming finite elements for time-harmonic electromagnetic scattering problems

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