# 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

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topHaddar, 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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