On the duality of the potential method and the point source method in inverse scattering problems

DOI10.1216/JIE-2009-21-2-297zbMath1170.65088MaRDI QIDQ2389593

Jijun Liu, Roland W. E. Potthast

Publication date: 17 July 2009

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

potential theoryfundamental solutiondualityTikhonov regularizationinverse scatteringreduced wave equationoptimization methodspoint source method

Mathematics Subject Classification ID

Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Optimization problems in optics and electromagnetic theory (78M50)

Cites Work

• Inverse acoustic and electromagnetic scattering theory.
• Stability estimates and reconstructions in inverse acoustic scattering using singular sources
• Sampling and probe methods -- an algorithmical view
• A point source method for inverse acoustic and electromagnetic obstacle scattering problems
• A simple method for solving inverse scattering problems in the resonance region
• A survey on sampling and probe methods for inverse problems
• The numerical realization of the probe method for the inverse scattering problems from the near-field data
• Linear integral equations
• An introduction to the mathematical theory of inverse problems
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the duality of the potential method and the point source method in inverse scattering problems