Article Dans Une Revue Journal of Computational Physics Année : 2025

A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic acoustic problems in heterogeneous media

Résumé

We consider the finite element solution of time-harmonic wave propagation problems in heterogeneous media with hybridizable discontinuous Galerkin (HDG) methods. In the case of homogeneous media, it has been observed that the iterative solution of the linear system can be accelerated by hybridizing with transmission variables instead of numerical traces, as performed in standard approaches. In this work, we extend the HDG method with transmission variables, which is called the CHDG method, to the heterogeneous case with piecewise constant physical coefficients. In particular, we consider formulations with standard upwind and general symmetric fluxes. The CHDG hybridized system can be written as a fixed-point problem, which can be solved with stationary iterative schemes for a class of symmetric fluxes. The standard HDG and CHDG methods are systematically studied with the different numerical fluxes by considering a series of 2D numerical benchmarks. The convergence of standard iterative schemes is always faster with the extended CHDG method than with the standard HDG methods, with upwind and scalar symmetric fluxes.

Fichier principal
Vignette du fichier
Pescuma2025_Preprint.pdf (2.56 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-04821539 , version 1 (05-12-2024)
hal-04821539 , version 2 (23-04-2025)

Licence

Identifiants

Citer

Simone Pescuma, Gwenael Gabard, Théophile Chaumont-Frelet, Axel Modave. A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic acoustic problems in heterogeneous media. Journal of Computational Physics, 2025, 534, pp.114009. ⟨10.1016/j.jcp.2025.114009⟩. ⟨hal-04821539v2⟩
605 Consultations
393 Téléchargements

Altmetric

Partager

  • More