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High order asymptotics for wave propagation across thin periodic interfaces

Bérangère Delourme 1, * Xavier Claeys 2, 3
* Corresponding author
3 ALPINES - Algorithms and parallel tools for integrated numerical simulations
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, INSMI - Institut National des Sciences Mathématiques et de leurs Interactions
Abstract : This work deals with the scattering of acoustic waves by a thin ring that contains many regularly-spaced heterogeneities. We provide and justify a complete description of the solution with respect to the period and the thickness of the heterogeneities. Our approach mixes matched asymptotic expansions and homogenization theory.
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Preprints, Working Papers, ...
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Contributor : Bérangère Delourme <>
Submitted on : Sunday, March 25, 2012 - 6:21:19 PM
Last modification on : Tuesday, October 20, 2020 - 3:56:33 PM
Long-term archiving on: : Tuesday, June 26, 2012 - 2:21:24 AM


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  • HAL Id : hal-00682386, version 1


Bérangère Delourme, Xavier Claeys. High order asymptotics for wave propagation across thin periodic interfaces. 2012. ⟨hal-00682386⟩



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