Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media

Résumé

We present a wavenumber-explicit convergence analysis of the hp Finite Element Method applied to a class of heterogeneous Helmholtz problems with piecewise analytic coefficients at large wavenumber k. Our analysis covers the heterogeneous Helmholtz equation with Robin, exact Dirichlet-to-Neumann, and second order absorbing boundary conditions, as well as perfectly matched layers.
Fichier principal
Vignette du fichier
bernkopf_chaumontfrelet_melenk_2022a.pdf (611.2 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03771988 , version 1 (07-09-2022)
hal-03771988 , version 2 (02-02-2024)

Identifiants

  • HAL Id : hal-03771988 , version 1

Citer

Maximilian Bernkopf, Théophile Chaumont-Frelet, Jens Markus Melenk. Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media. 2022. ⟨hal-03771988v1⟩
76 Consultations
32 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More