On the fréchet derivative for obstacle scattering with an impedance boundary condition

Houssem Haddar; Rainer Kress

doi:10.1137/S0036139903435413

On the fréchet derivative for obstacle scattering with an impedance boundary condition

Houssem Haddar
, Rainer Kress

INRIA Rocquencourt
Georg-August-Universität Göttingen

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

Résumé

A technique introduced by Kress and Päivärinta to establish differentiability of the solution to obstacle scattering problems with respect to the boundary is extended to the case of the impedance boundary condition. For acoustic scattering an alternative proof of a differentiability result due to Hettlich is provided, and in electromagnetic scattering a new differentiability result is proven.

langue originale	Anglais
Pages (de - à)	194-208
Nombre de pages	15
journal	SIAM Journal on Applied Mathematics
Volume	65
Numéro de publication	1
Les DOIs	https://doi.org/10.1137/S0036139903435413
état	Publié - 15 avr. 2005
Modification externe	Oui

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10.1137/S0036139903435413

Contient cette citation

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title = "On the fr{\'e}chet derivative for obstacle scattering with an impedance boundary condition",

abstract = "A technique introduced by Kress and P{\"a}iv{\"a}rinta to establish differentiability of the solution to obstacle scattering problems with respect to the boundary is extended to the case of the impedance boundary condition. For acoustic scattering an alternative proof of a differentiability result due to Hettlich is provided, and in electromagnetic scattering a new differentiability result is proven.",

keywords = "Acoustic scattering, Electromagnetic scattering, Far field pattern, Fr{\'e}chet derivative, Helmholtz equation, Impedance condition, Inverse scattering, Maxwell equations, Obstacle scattering",

author = "Houssem Haddar and Rainer Kress",

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AU - Haddar, Houssem

AU - Kress, Rainer

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N2 - A technique introduced by Kress and Päivärinta to establish differentiability of the solution to obstacle scattering problems with respect to the boundary is extended to the case of the impedance boundary condition. For acoustic scattering an alternative proof of a differentiability result due to Hettlich is provided, and in electromagnetic scattering a new differentiability result is proven.

AB - A technique introduced by Kress and Päivärinta to establish differentiability of the solution to obstacle scattering problems with respect to the boundary is extended to the case of the impedance boundary condition. For acoustic scattering an alternative proof of a differentiability result due to Hettlich is provided, and in electromagnetic scattering a new differentiability result is proven.

KW - Acoustic scattering

KW - Electromagnetic scattering

KW - Far field pattern

KW - Fréchet derivative

KW - Helmholtz equation

KW - Impedance condition

KW - Inverse scattering

KW - Maxwell equations

KW - Obstacle scattering

U2 - 10.1137/S0036139903435413

DO - 10.1137/S0036139903435413

M3 - Article

AN - SCOPUS:16244379216

SN - 0036-1399

VL - 65

SP - 194

EP - 208

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

IS - 1

ER -

On the fréchet derivative for obstacle scattering with an impedance boundary condition

Résumé

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