Skip to Main content Skip to Navigation

Approximate Models for Wave Propagation Across Thin Periodic Interfaces

Bérangère Delourme 1, 2, * Houssem Haddar 3 Patrick Joly 2
* Corresponding author
2 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
3 DeFI - Shape reconstruction and identification
Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
Abstract : This work deals with the scattering of acoustic waves by a thin ring which contains many regularly-spaced heterogeneties. We provide a complete description of the asymptotic of the solution with respect to the period and the thickness of the heterogeneities. Then, we build a simplified model replacing the thin perforated ring by an effective transmission condition. We pay particular attention to the stabilization of the effective transmission condition. Error estimates and numerical simulations are carried out to validate the accuracy of the model.
Document type :
Complete list of metadatas

Cited literature [24 references]  Display  Hide  Download
Contributor : Bérangère Delourme <>
Submitted on : Friday, February 12, 2010 - 5:16:01 PM
Last modification on : Thursday, June 11, 2020 - 5:04:04 PM
Long-term archiving on: : Friday, June 18, 2010 - 8:26:39 PM


Files produced by the author(s)


  • HAL Id : inria-00456200, version 1


Bérangère Delourme, Houssem Haddar, Patrick Joly. Approximate Models for Wave Propagation Across Thin Periodic Interfaces. [Research Report] RR-7197, INRIA. 2010. ⟨inria-00456200⟩



Record views


Files downloads