Construction and analysis of fourth order, energy consistent, family of explicit time discretizations for dissipative linear wave equations - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2020

Construction and analysis of fourth order, energy consistent, family of explicit time discretizations for dissipative linear wave equations

Résumé

This paper deals with the construction of a family of fourth order, energy consistent, explicit time discretizations for dissipative linear wave equations. The schemes are obtained by replacing the inversion of a matrix, that comes naturally after using the technique of the Modified Equation on the second order Leap Frog scheme applied to dissipative linear wave equations, by explicit approximations of its inverse. The stability of the schemes are studied using an energy analysis and a convergence analysis is carried out. Numerical results in 1D illustrate the space/time convergence properties of the schemes and their efficiency is compared to more classical time discretizations.
Fichier principal
Vignette du fichier
main.pdf (586.21 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01894238 , version 1 (12-10-2018)
hal-01894238 , version 2 (08-11-2019)

Identifiants

Citer

Juliette Chabassier, Julien Diaz, Sébastien Imperiale. Construction and analysis of fourth order, energy consistent, family of explicit time discretizations for dissipative linear wave equations. ESAIM: Mathematical Modelling and Numerical Analysis, 2020, 54 (3), pp.845-878. ⟨10.1051/m2an/2019079⟩. ⟨hal-01894238v2⟩
482 Consultations
518 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More