Inverse scattering for shape and impedance
From MaRDI portal
Publication:2747546
DOI10.1088/0266-5611/17/4/334zbMath0985.35109OpenAlexW2043849694MaRDI QIDQ2747546
Publication date: 29 May 2002
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/17/4/334
Helmholtz equationimpedance boundary conditionfar-field patternregularized Newton iterationinjectivity of the linearized mapscattering of time-harmonic acoustic or electromagnetic waves
Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)
Related Items
Reconstruction for shape and impedance in an inverse scattering problem ⋮ Adjoint state method for time-harmonic scattering problems with boundary perturbations ⋮ Inverse scattering for shape and impedance revisited ⋮ Simultaneous numerical determination of a corroded boundary and its admittance ⋮ A multi-frequency iterative imaging method for discontinuous inverse medium problem ⋮ Newton's method for inverse obstacle scattering of buried objects ⋮ The mathematical basis of the inverse scattering problem for cracks from near-field data ⋮ Shape derivatives for scattering problems ⋮ Reconstruction for cavities with impedance boundary condition ⋮ Shape inverse problem of thermodynamic equations based on domain derivative method ⋮ Asymptotics of optimal control in the problem of harmonic wave scattering by an obstacle ⋮ Inverse Acoustic Scattering with Phaseless Far Field Data: Uniqueness, Phase Retrieval, and Direct Sampling Methods ⋮ A numerical method for the viscous incompressible Oseen flow in shape reconstruction ⋮ Detection of multiple impedance obstacles by non-iterative topological gradient based methods ⋮ Shape reconstruction for unsteady advection-diffusion problems by domain derivative method ⋮ Shape inverse problem for Stokes-Brinkmann equations ⋮ The interior inverse scattering problem for cavities with an artificial obstacle ⋮ A spectral method for sizing cracks using ultrasonic arrays ⋮ An inverse scattering problem from an impedance obstacle ⋮ Inverse scattering by a continuation method with initial guesses from a direct imaging algorithm ⋮ Nonlinear integral equation methods for the reconstruction of an acoustically sound-soft obstacle ⋮ Cloaking via impedance boundary condition for the 2-D Helmholtz equation ⋮ On stability for a translated obstacle with impedance boundary condition ⋮ Inverse scattering for surface impedance from phase-less far field data ⋮ The singular sources method for an inverse problem with mixed boundary conditions ⋮ Inverse Scattering ⋮ Inverse scattering problem from an impedance obstacle via two-steps method ⋮ Reconstruction of shapes and impedance functions using few far-field measurements ⋮ Inverse scattering for an impedance cylinder buried in a dielectric cylinder ⋮ Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization ⋮ Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method ⋮ Numerical investigations with extended isogeometric boundary element analysis (XIBEM) for direct and inverse Helmholtz acoustic problems ⋮ Unnamed Item
