A comparison of two methods for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium

DOI10.1016/0377-0427(92)90159-UzbMath0768.73017OpenAlexW1970918668MaRDI QIDQ1195371

David Colton, Peter B. Monk

Publication date: 26 October 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(92)90159-u

zbMATH Keywords

discretizationnonlinear optimizationabsorptionLippman-Schwinger equationspherically stratified medium

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Hydro- and aero-acoustics (76Q05) Inverse problems for waves in solid mechanics (74J25)

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Reconstruction algorithms of an inverse conductive scattering problem for the Helmholtz equation ⋮ Linearization ill-posedness for 2. 5-D wave equation inversion model

Cites Work

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• A modified gradient method for two-dimensional problems in tomography
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• Multifrequency inverse problem for the reduced wave equation: Resolution cell and stability
• THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN AN INHOMOGENEOUS MEDIUM
• The Inverse Scattering Problem for Time-Harmonic Acoustic Waves in an Inhomogeneous Medium: Numerical Experiments
• A new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium: II
• An approximation problem in inverse scattering theory
• Far-Field Patterns for Acoustic Waves in an Inhomogeneous Medium
• Linear integral equations

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