Construction and analysis of a HDG solution for the total-flux-formulation of the convected Helmholtz equation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Mathematics of Computation Year : 2023

Construction and analysis of a HDG solution for the total-flux-formulation of the convected Helmholtz equation

Abstract

We introduce a HDG method for the convected Helmholtz equation based on the total flux formulation, in which the vector unknown represents both diffusive and convective phenomena. This HDG method is constricted with the same interpolation degree for all the unknowns and a physically informed value for the penalization parameter is computed. A detailed analysis including local and global well-posedness, as well as a superconvergence result is carried out. We then provide numerical experiments to illustrate the theoretical results.
Fichier principal
Vignette du fichier
preprint_hdg_tot.pdf (976.27 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-04006555 , version 1 (28-02-2023)

Identifiers

Cite

Hélène Barucq, Nathan Rouxelin, Sébastien Tordeux. Construction and analysis of a HDG solution for the total-flux-formulation of the convected Helmholtz equation. Mathematics of Computation, In press, pp.34. ⟨10.1090/mcom/3850⟩. ⟨hal-04006555⟩
106 View
78 Download

Altmetric

Share

Gmail Facebook X LinkedIn More