A hybrid method for sound-hard obstacle reconstruction

DOI10.1016/j.cam.2006.02.047zbMath1350.35139OpenAlexW2003261568MaRDI QIDQ883476

Pedro Serranho, Rainer Kress

Publication date: 4 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.047

zbMATH Keywords

inverse scattering problems

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Cites Work

• Unnamed Item
• Unnamed Item
• Inverse acoustic and electromagnetic scattering theory.
• On the numerical solution of a hypersingular integral equation in scattering theory
• On the convergence of a new Newton-type method in inverse scattering
• Convergence Rates of a Regularized Newton Method in Sound-Hard Inverse Scattering
• Newton s method for inverse obstacle scattering meets the method of least squares
• Newton-Kantorovitch algorithm applied to an electromagnetic inverse problem
• A hybrid method for inverse boundary value problems in potential theory
• A hybrid method for two-dimensional crack reconstruction
• Frechet derivatives in inverse obstacle scattering
• Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain

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