Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: The scalar case

Houssem Haddar; Patrick Joly; Hoai Minh Nguyen

doi:10.1142/S021820250500073X

Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: The scalar case

Houssem Haddar
, Patrick Joly
, Hoai Minh Nguyen

INRIA Institut National de Recherche en Informatique et en Automatique

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We derive different classes of generalized impedance boundary conditions for the scattering problem from strongly 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 derived to validate the accuracy of each condition.

langue originale	Anglais
Pages (de - à)	1273-1300
Nombre de pages	28
journal	Mathematical Models and Methods in Applied Sciences
Volume	15
Numéro de publication	8
Les DOIs	https://doi.org/10.1142/S021820250500073X
état	Publié - 1 août 2005

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@article{0e7d321e02c94de1acee2a7816126ab4,

title = "Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: The scalar case",

abstract = "We derive different classes of generalized impedance boundary conditions for the scattering problem from strongly 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 derived to validate the accuracy of each condition.",

keywords = "Asymptotic models, General impedance boundary conditions, Strongly absorbing media",

author = "Houssem Haddar and Patrick Joly and Nguyen, \{Hoai Minh\}",

year = "2005",

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doi = "10.1142/S021820250500073X",

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T1 - Generalized impedance boundary conditions for scattering by strongly absorbing obstacles

T2 - The scalar case

AU - Haddar, Houssem

AU - Joly, Patrick

AU - Nguyen, Hoai Minh

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Y1 - 2005/8/1

N2 - We derive different classes of generalized impedance boundary conditions for the scattering problem from strongly 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 derived to validate the accuracy of each condition.

AB - We derive different classes of generalized impedance boundary conditions for the scattering problem from strongly 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 derived to validate the accuracy of each condition.

KW - Asymptotic models

KW - General impedance boundary conditions

KW - Strongly absorbing media

U2 - 10.1142/S021820250500073X

DO - 10.1142/S021820250500073X

M3 - Article

AN - SCOPUS:31144432580

SN - 0218-2025

VL - 15

SP - 1273

EP - 1300

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 8

ER -

Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: The scalar case

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