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

Abstract : 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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [25 references]  Display  Hide  Download

https://hal.inria.fr/hal-01894238
Contributor : Juliette Chabassier <>
Submitted on : Friday, November 8, 2019 - 9:30:37 AM
Last modification on : Monday, December 9, 2019 - 4:37:25 PM

File

main.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01894238, version 2

Citation

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, EDP Sciences, In press. ⟨hal-01894238v2⟩

Share

Metrics

Record views

63

Files downloads

210