Construction and convergence analysis of conservative second order local time discretisation for wave equations

Juliette Chabassier 1 Sébastien Imperiale 2, 3
1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
2 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine
LMS - Laboratoire de mécanique des solides, Inria Saclay - Ile de France
Abstract : In this work we present and analyse a time discretisation strategy for linear wave propagation that aims at using locally in space the most adapted time discretisa-tion among a family of implicit or explicit centered second order schemes. The domain of interest being decomposed into several regions, different time discretisations can be chosen depending on the local properties of the spatial discretisations (mesh size and quality) or the physical parameters (high wave speed, low density). We show that, under some conditions on the time step, the family of time discretisations obtained combined with standard finite elements methods in space ensures a second order space-time convergence .
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https://hal.inria.fr/hal-01894357
Contributor : Juliette Chabassier <>
Submitted on : Friday, October 12, 2018 - 12:57:53 PM
Last modification on : Friday, April 19, 2019 - 4:55:29 PM
Long-term archiving on : Sunday, January 13, 2019 - 3:02:58 PM

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  • HAL Id : hal-01894357, version 1

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Juliette Chabassier, Sébastien Imperiale. Construction and convergence analysis of conservative second order local time discretisation for wave equations. 2018. ⟨hal-01894357⟩

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