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Algebraic Way to Derive Discrete Absorbing Boundary Conditions for Wave Equation

Jukka Tuomela Olivier Vacus 1
1 ONDES - Modeling, analysis and simulation of wave propagation phenomena
Inria Paris-Rocquencourt, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR2706
Abstract : We introduce a new algebraic framework to derive discrete absorbing boundary conditions for wave equation in the monodimensional case. The idea is to factor directly the discrete wave operator and then use one of the factors as boundary condition. We also analyse the stability of the schemes obtained this way and perform numerical simulations to estimate their practical value.
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Submitted on : Wednesday, May 24, 2006 - 1:23:47 PM
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Jukka Tuomela, Olivier Vacus. Algebraic Way to Derive Discrete Absorbing Boundary Conditions for Wave Equation. [Research Report] RR-3053, INRIA. 1996. ⟨inria-00073639⟩

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