An alternative to Tikhonov regularization for linear sampling methods

DOI10.1007/s10440-009-9558-6zbMath1200.35330OpenAlexW2024845060MaRDI QIDQ711635

Koung Hee Leem, George Pelekanos, Keehwan Kim

Publication date: 27 October 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9558-6

zbMATH Keywords

factorization methodTikhonov regularizationinverse scatteringprofile reconstruction

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Sampling theory in information and communication theory (94A20) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Cites Work

• Qualitative methods in inverse scattering theory. An introduction
• Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
• A simple method using Morozov's discrepancy principle for solving inverse scattering problems
• A simple method for solving inverse scattering problems in the resonance region
• The linear sampling method for the transmission problem in 2D anisotropic elasticity
• Elements of constructive theory of inverse problems
• Inverse acoustic and electromagnetic scattering theory
• Unnamed Item

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