# A well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 44, Issue: 4, page 781-801
- ISSN: 0764-583X

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topPernet, Sébastien. "A well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition." ESAIM: Mathematical Modelling and Numerical Analysis 44.4 (2010): 781-801. <http://eudml.org/doc/250767>.

@article{Pernet2010,

abstract = {
The construction of a well-conditioned integral equation for iterative solution of scattering
problems with a variable Leontovitch boundary condition is proposed. A suitable parametrix is obtained by
using a new unknown and an approximation of the transparency condition. We prove the well-posedness of the equation for any wavenumber.
Finally, some numerical comparisons with well-tried method prove the efficiency of the new formulation.
},

author = {Pernet, Sébastien},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Electromagnetic scattering; boundary integral
equations; impedance boundary condition; preconditioner; electromagnetic scattering; integral equation; Leontovitch boundary condition},

language = {eng},

month = {6},

number = {4},

pages = {781-801},

publisher = {EDP Sciences},

title = {A well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition},

url = {http://eudml.org/doc/250767},

volume = {44},

year = {2010},

}

TY - JOUR

AU - Pernet, Sébastien

TI - A well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/6//

PB - EDP Sciences

VL - 44

IS - 4

SP - 781

EP - 801

AB -
The construction of a well-conditioned integral equation for iterative solution of scattering
problems with a variable Leontovitch boundary condition is proposed. A suitable parametrix is obtained by
using a new unknown and an approximation of the transparency condition. We prove the well-posedness of the equation for any wavenumber.
Finally, some numerical comparisons with well-tried method prove the efficiency of the new formulation.

LA - eng

KW - Electromagnetic scattering; boundary integral
equations; impedance boundary condition; preconditioner; electromagnetic scattering; integral equation; Leontovitch boundary condition

UR - http://eudml.org/doc/250767

ER -

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