An optimization approach for the localization of defects in an inhomogeneous medium from acoustic far-field measurements at a fixed frequency
DOI10.1080/17415977.2015.1124426zbMath1410.65431arXiv1303.6445OpenAlexW1546920171MaRDI QIDQ2831844
Yann Grisel, Jèrèmie Fourbil, Vincent Mouysset
Publication date: 3 November 2016
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.6445
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
Cites Work
- Application of the factorization method to the characterization of weak inclusions in electrical impedance tomography
- On imaging obstacles inside inhomogeneous media
- The factorization method for real elliptic problems
- New characterizations of solutions in inverse scattering theory
- The factorization method for inverse acoustic scattering in a layered medium
- Determining the shape of defects in non-absorbing inhomogeneous media from far-field measurements
- The MUSIC-algorithm and the factorization method in inverse scattering theory for inhomogeneous media
- The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints
- ATKINSON—WILCOX EXPANSION THEOREM FOR INHOMOGENEOUS MEDIA
- Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
- Factorization of the far-field operator for the inhomogeneous medium case and an application in inverse scattering theory
- A simple method using Morozov's discrepancy principle for solving inverse scattering problems
- Why linear sampling works
- A simple method for solving inverse scattering problems in the resonance region
- An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
- A survey on sampling and probe methods for inverse problems
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