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Construction and analysis of improved Kirchoff conditions for acoustic wave propagation in a junction of thin slots

Patrick Joly 1 Adrien Semin 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
Abstract : In this paper, we analyze via the theory of matched asymptotics the propagation of a time harmonic acoustic wave in a junction of two thin slots. This allows us to propose improved Kirchoff conditions for the 1D limit problem, These conditions are analyzed and validated numerically.
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Submitted on : Wednesday, April 9, 2014 - 6:37:52 PM
Last modification on : Wednesday, May 11, 2022 - 12:06:04 PM

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Patrick Joly, Adrien Semin. Construction and analysis of improved Kirchoff conditions for acoustic wave propagation in a junction of thin slots. ESAIM: Proceedings, EDP Sciences, 2008, 25, pp.44-67. ⟨hal-00976404⟩

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