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Pré-Publication, Document De Travail Année : 2024

Spectral correctness of the continuous finite element stabilized approximation of the first-order form of Maxwell's equations

Résumé

Maxwell's equations in first-order form with smooth permeability and smooth permittivity are approximated using continuous finite elements. The method is stabilized using the continuous interior penalty technique. Using an existence result of approximation operators commuting with the curl operator established in Boffi et al. [5], it is proved herein that the approximation is spectrally correct. The result is numerically illustrated.
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Dates et versions

hal-04478683 , version 1 (26-02-2024)
hal-04478683 , version 2 (27-02-2024)

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  • HAL Id : hal-04478683 , version 2

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Alexandre Ern, Jean-Luc Guermond. Spectral correctness of the continuous finite element stabilized approximation of the first-order form of Maxwell's equations. 2024. ⟨hal-04478683v2⟩
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