Inverse Obstacle Scattering Using Reduced Data

DOI10.1137/S0036139997316598zbMath1050.35021OpenAlexW2065664798MaRDI QIDQ4237246

Rainer Kress, William Rundell

Publication date: 31 March 1999

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139997316598

zbMATH Keywords

Newton schemesbackscatteringdomain derivativedata at isolated points

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for ill-posed problems for integral equations (65R30)

Related Items (8)

Numerical method for the shape reconstruction of a hard target ⋮ Inverse obstacle backscattering problems with phaseless data ⋮ Inverse Acoustic Scattering with Phaseless Far Field Data: Uniqueness, Phase Retrieval, and Direct Sampling Methods ⋮ Reconstruction and uniqueness of an inverse scattering problem with impedance boundary ⋮ Localization of small obstacles from back-scattered data at limited incident angles with full-waveform inversion ⋮ Inverse elastic scattering problems with phaseless far field data ⋮ Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method ⋮ A multi-step procedure for enriching limited two-dimensional acoustic far-field pattern measurements

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