Asymptotic models for scattering from unbounded media with high conductivity

Houssem Haddar; Armin Lechleiter

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 44, Issue: 6, page 1295-1317
  • ISSN: 0764-583X

Abstract

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We analyze the accuracy and well-posedness of generalized impedance boundary value problems in the framework of scattering problems from unbounded highly absorbing media. We restrict ourselves in this first work to the scalar problem (E-mode for electromagnetic scattering problems). Compared to earlier works, the unboundedness of the rough absorbing layer introduces severe difficulties in the analysis for the generalized impedance boundary conditions, since classical compactness arguments are no longer possible. Our new analysis is based on the use of Rellich-type estimates and boundedness of L2 solution operators. We also discuss some numerical experiments concerning these boundary conditions.

How to cite

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Haddar, Houssem, and Lechleiter, Armin. "Asymptotic models for scattering from unbounded media with high conductivity." ESAIM: Mathematical Modelling and Numerical Analysis 44.6 (2010): 1295-1317. <http://eudml.org/doc/250801>.

@article{Haddar2010,
abstract = { We analyze the accuracy and well-posedness of generalized impedance boundary value problems in the framework of scattering problems from unbounded highly absorbing media. We restrict ourselves in this first work to the scalar problem (E-mode for electromagnetic scattering problems). Compared to earlier works, the unboundedness of the rough absorbing layer introduces severe difficulties in the analysis for the generalized impedance boundary conditions, since classical compactness arguments are no longer possible. Our new analysis is based on the use of Rellich-type estimates and boundedness of L2 solution operators. We also discuss some numerical experiments concerning these boundary conditions. },
author = {Haddar, Houssem, Lechleiter, Armin},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Scattering problems; unbounded domains; asymptotic models; generalized impedance boundary conditions; high conductivity; scattering problems; generalized impedance boundary conditions; well-posedness},
language = {eng},
month = {10},
number = {6},
pages = {1295-1317},
publisher = {EDP Sciences},
title = {Asymptotic models for scattering from unbounded media with high conductivity},
url = {http://eudml.org/doc/250801},
volume = {44},
year = {2010},
}

TY - JOUR
AU - Haddar, Houssem
AU - Lechleiter, Armin
TI - Asymptotic models for scattering from unbounded media with high conductivity
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/10//
PB - EDP Sciences
VL - 44
IS - 6
SP - 1295
EP - 1317
AB - We analyze the accuracy and well-posedness of generalized impedance boundary value problems in the framework of scattering problems from unbounded highly absorbing media. We restrict ourselves in this first work to the scalar problem (E-mode for electromagnetic scattering problems). Compared to earlier works, the unboundedness of the rough absorbing layer introduces severe difficulties in the analysis for the generalized impedance boundary conditions, since classical compactness arguments are no longer possible. Our new analysis is based on the use of Rellich-type estimates and boundedness of L2 solution operators. We also discuss some numerical experiments concerning these boundary conditions.
LA - eng
KW - Scattering problems; unbounded domains; asymptotic models; generalized impedance boundary conditions; high conductivity; scattering problems; generalized impedance boundary conditions; well-posedness
UR - http://eudml.org/doc/250801
ER -

References

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