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Asymptotic Models for Scattering from Strongly Absorbing Obstacles: the Scalar Case

Houssem Haddar 1 Patrick Joly 1 Hoai Minh Nguyen 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 derive different classes of generalized impedance boundary conditions for the scattering problem from highly absorbing obstacles. Compared to existing works, our construction is based on an asymptotic development of the solution with respect to the medium absorption. Error estimates are obtained to mathematically validate the accuracy order of each condition.
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https://hal.inria.fr/inria-00070793
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Submitted on : Friday, May 19, 2006 - 9:39:41 PM
Last modification on : Tuesday, January 11, 2022 - 11:16:20 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:55:38 PM

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  • HAL Id : inria-00070793, version 1

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Houssem Haddar, Patrick Joly, Hoai Minh Nguyen. Asymptotic Models for Scattering from Strongly Absorbing Obstacles: the Scalar Case. [Research Report] RR-5199, INRIA. 2004, pp.42. ⟨inria-00070793⟩

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