Inverse scattering via nonlinear integral equations for a Neumann crack

DOI10.1088/0266-5611/22/6/005zbMath1105.35143OpenAlexW2071531878MaRDI QIDQ3419262

Kuo-Ming Lee

Publication date: 6 February 2007

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/22/6/005

zbMATH Keywords

Helmholtz equationNeumann problemcrack detectionnon-destructive testingFredholm integral equation of the first kindsound-hard crackacoustic inverse scatteringintegral equation numerical method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Inverse problems for waves in solid mechanics (74J25) Fredholm integral equations (45B05)

Related Items (13)

Reconstruction for shape and impedance in an inverse scattering problem ⋮ Certain properties of a MUSIC-type imaging functional in inverse scattering from an open sound-hard arc ⋮ A novel study on subspace migration for imaging of a sound-hard arc ⋮ Huygens' principle and iterative methods in inverse obstacle scattering ⋮ Reconstruction for cavities with impedance boundary condition ⋮ Inverse scattering problem from an impedance crack via a composite method ⋮ On the application of MUSIC algorithm for identifying short sound-hard arcs in limited-view inverse acoustic problem ⋮ Inverse scattering from a sound-hard crack via two-step method ⋮ A second degree Newton method for an inverse obstacle scattering problem ⋮ An inverse scattering problem from an impedance obstacle ⋮ A two step method in inverse scattering problem for a crack ⋮ A second degree Newton method in inverse scattering problem for a crack ⋮ Shape identification of open sound-hard arcs without priori information in limited-view inverse scattering problem

This page was built for publication: Inverse scattering via nonlinear integral equations for a Neumann crack