High order marching schemes for the wave equation in complex geometry

Jing-Rebecca Li 1 Leslie Greengard
1 DeFI - Shape reconstruction and identification
Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
Abstract : We present a new class of explicit marching schemes for the wave equation in complex geometry. They rely on a simple embedding of the domain in a uniform Cartesian grid, which allows for efficient and automatic implementation but creates irregular cells near the boundary. While existing explicit finite difference schemes are generally restricted in the size of the time step that can be taken by the dimensions of the smallest cell, the schemes described here are capable of taking time steps dictated by the uniform grid spacing. This should be of significant benefit in a wide variety of simulation efforts.
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Journal articles
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https://hal.inria.fr/hal-00781131
Contributor : Jing-Rebecca Li <>
Submitted on : Friday, January 25, 2013 - 2:03:04 PM
Last modification on : Wednesday, March 27, 2019 - 4:08:29 PM

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Jing-Rebecca Li, Leslie Greengard. High order marching schemes for the wave equation in complex geometry. Journal of Computational Physics, Elsevier, 2004, 198 (1), pp.295--309. ⟨hal-00781131⟩

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