High-Order Schemes Combining the Modified Equation Approach and Discontinuous Galerkin Approximations for the Wave Equation

Cyril Agut; Julien Diaz; Abdelaâziz Ezziani

hal-00646421, version 1

High-Order Schemes Combining the Modified Equation Approach and Discontinuous Galerkin Approximations for the Wave Equation

Cyril Agut () ^1, 2, Julien Diaz () ^1, 2, Abdelaâziz Ezziani ()^a^, 1, 2

Communications in Computational Physics 11, 2 (2012) 691-708

Abstract: We present a new high ordermethod in space and time for solving the wave equation, based on a newinterpretation of the "Modified Equation" technique. Indeed, contrary to most of the works, we consider the time discretization before the space discretization. After the time discretization, an additional biharmonic operator appears, which can not be discretized by classical finite elements. We propose a new Discontinuous Galerkinmethod for the discretization of this operator, and we provide numerical experiments proving that the new method is more accurate than the classicalModified Equation technique with a lower computational burden.

a – Université de Pau et des Pays de lÁdour
1: Laboratoire de Mathématiques et de leurs Applications de Pau (LMA-PAU)
CNRS : UMR5142 – Université de Pau et des Pays de l'Adour [UPPA]
2: MAGIQUE-3D (INRIA Bordeaux - Sud-Ouest)
INRIA – CNRS – Université de Pau et des Pays de l'Adour [UPPA]

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From: Cyril Agut <>
Submitted on: Tuesday, 29 November 2011 22:39:31
Updated on: Saturday, 3 December 2011 19:05:56

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DOI: 10.4208/cicp.311209.051110s

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