An efficient method for the solution of the inverse scattering problem for penetrable obstacles

DOI10.1016/j.matcom.2010.09.014zbMath1207.78023OpenAlexW1964897800WikidataQ124542255 ScholiaQ124542255MaRDI QIDQ622210

Pierluigi Maponi, Nadaniela Egidi

Publication date: 31 January 2011

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.09.014

zbMATH Keywords

Fredholm integral equationelectromagnetic scatteringquasi-Newton minimization method

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Fredholm integral equations (45B05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Optimization problems in optics and electromagnetic theory (78M50)

Related Items (1)

Residual correction techniques for the efficient solution of inverse scattering problems

Uses Software

• L-BFGS-B
• LBFGS-B

Cites Work

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• Qualitative methods in inverse scattering theory. An introduction
• A robust direct variational approach for generation of quadrangular and triangular grids on planar domains
• Inverse scattering by a continuation method with initial guesses from a direct imaging algorithm
• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• Acoustic Scattering by Inhomogeneous Obstacles
• The approximate inverse for solving an inverse scattering problem for acoustic waves in an inhomogeneous medium
• A Limited Memory Algorithm for Bound Constrained Optimization
• Inverse medium scattering for the Helmholtz equation at fixed frequency
• Inverse acoustic and electromagnetic scattering theory
• An introduction to the mathematical theory of inverse problems

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