Hybrid Newton-type methods for reconstructing sound-soft obstacles from a single far field

DOI10.1515/JIIP-2013-0061zbMath1333.65126OpenAlexW2326352991MaRDI QIDQ2634402

Yun Xia, Zewen Wang, Xiao-Xia Li

Publication date: 9 February 2016

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2013-0061

zbMATH Keywords

computational complexitynumerical exampleHelmholtz equationNewton methodill-posed probleminverse scatteringfar fieldincident wavemultiple obstaclesKirsch-Kress method

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Complexity and performance of numerical algorithms (65Y20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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