The unknown object problem in a sea with sloping bottom

DOI10.1080/00036810108840947zbMath1022.76048OpenAlexW1973869197MaRDI QIDQ3152147

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Publication date: 22 October 2002

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810108840947

zbMATH Keywords

inverse problemuniquenessnumerical solutionunderwater acousticsshallow oceangeneralized dual space indicator methodsloping seabedundetermined object problem

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Starting fields and far fields in ocean acoustics
• ON THE CONDITIONS FOR UNIQUENESS AND EXISTENCE OF THE SOLUTION TO AN ACOUSTIC INVERSE PROBLEM I: THEORY
• Direct and inverse problems in ocean acoustics
• Generalized dual space indicator method for underwater imaging
• A simple method for solving inverse scattering problems in the resonance region
• Dense sets and the projection theorem for acoustic harmonic waves in a homogeneous finite depth ocean

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