| Issue |
ESAIM: M2AN
Volume 58, Number 4, July-August 2024
|
|
|---|---|---|
| Page(s) | 1441 - 1460 | |
| DOI | https://doi.org/10.1051/m2an/2024047 | |
| Published online | 08 August 2024 | |
Stability and space/time convergence of Störmer-Verlet time integration of the mixed formulation of linear wave equations
MAKUTU research team, Inria Bordeaux University, Laboratoire de Mathématiques et leurs Applications de Pau, IPRA, 200 avenue de la vieille Tour, 33400 Talence, France
* Corresponding author: juliette.chabassier@inria.fr
Received:
28
August
2023
Accepted:
11
June
2024
This work focuses on the mixed formulation of linear wave equations. It provides a proof of stability and convergence of time discretisation of a semi discrete linear wave equation in mixed form with Störmer-Verlet time integration, that is uniform as the time step reaches its largest allowed value for stability (Courant-Friedrich-Levy condition), contrary to the proofs recalled here from the literature.
Mathematics Subject Classification: 35L05 / 35M30 / 65M12
Key words: Linear wave equation / mixed formulation / stability / energy / space/time convergence
© The authors. Published by EDP Sciences, SMAI 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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