High-Order Schemes Combining the Modified Equation Approach and Discontinuous Galerkin Approximations for the Wave Equation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Communications in Computational Physics Year : 2012

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

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.
No file

Dates and versions

hal-00646421 , version 1 (29-11-2011)

Identifiers

Cite

Cyril Agut, Julien Diaz, Abdelaâziz Ezziani. High-Order Schemes Combining the Modified Equation Approach and Discontinuous Galerkin Approximations for the Wave Equation. Communications in Computational Physics, 2012, 11 (2), pp.691-708. ⟨10.4208/cicp.311209.051110s⟩. ⟨hal-00646421⟩
172 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More