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 Access content directly
Preprints, Working Papers, ... Year : 2024

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

Abstract

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
main.pdf (592.24 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

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

Licence

Attribution

Identifiers

  • HAL Id : hal-03771988 , version 2

Cite

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. 2024. ⟨hal-03771988v2⟩
63 View
26 Download

Share

Gmail Facebook X LinkedIn More