Spectral correctness of the continuous finite element stabilized approximation of the first-order form of Maxwell's equations - Archive ouverte HAL
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.
Fichier principal
Vignette du fichier
main.pdf (590.61 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

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

Identifiants

  • HAL Id : hal-04478683 , version 1

Citer

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-04478683v1⟩
188 Consultations
117 Téléchargements

Partager

More