The factorization method for obstacles with a-priori separated sound-soft and sound-hard parts
type: Item
instance of: scholarly article
title: The factorization method for obstacles with a-priori separated sound-soft and sound-hard parts
zbMATH Open document ID: 1054.65111
author: N. I. Grinberg
author: Andreas Kirsch
published in: Mathematics and Computers in Simulation
publication date: 2004-08-19T00:00:00Z
review text: The authors consider the direct and inverse scattering problem for obstacles with mixed Dirichlet and Robin boundary conditions when sound-soft and sound-hard scatters are a-priori geometrically separated. Following the idea of the factorization method proposed by \textit{A. Kirsch} [Inverse Probl. 14, No. 6, 1489--1512 (1998; Zbl 0919.35147); Appl. Anal. 76, No.3--4, 319--350 (2000; Zbl 1028.35167)], the authors derive an explicit and fast obstacle visualization. Also they give some numerical examples and discuss the analytical and numerical aspects of the obstacle reconstruction with this method.
Mathematics Subject Classification ID: 65N21
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 76Q05
zbMATH DE Number: 2092890
zbMATH Keywords: inverse obstacle scattering
zbMATH Keywords: factorization method
zbMATH Keywords: fast obstacle visualization
zbMATH Keywords: numerical examples
zbMATH Keywords: obstacle reconstruction
reviewed by: Dinh Nho Hào
MaRDI profile type: Publication
full work available at URL: j.matcom.2004.02.011
OpenAlex ID: W1988435986
cites work: Inverse acoustic and electromagnetic scattering theory.
cites work: Obstacle localization in an homogeneous half-space
cites work: Obstacle visualization via the factorization method for the mixed boundary value problem
cites work: The linear sampling method in inverse obstacle scattering for impedance boundary conditions
cites work: Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
cites work: New characterizations of solutions in inverse scattering theory
cites work: The MUSIC-algorithm and the factorization method in inverse scattering theory for inhomogeneous media
cites work: Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
cites work: Q4953888
DOI: 10.1016/J.MATCOM.2004.02.011
description: scientific article; zbMATH DE number 2092890