The numerical realization of the probe method for the inverse scattering problems from the near-field data

DOI10.1088/0266-5611/21/3/004zbMath1071.35121OpenAlexW1977163756MaRDI QIDQ5462071

Gen Nakamura, Jijun Liu, Jin Cheng

Publication date: 1 August 2005

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

Full work available at URL: https://doi.org/10.1088/0266-5611/21/3/004

zbMATH Keywords

optimization procedureHelmholtz equationimpedance boundary conditionDirichlet-to-Neumann mapRunge approximate function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05)

Related Items (9)

A simple method of reconstructing a point-like scatterer according to time-dependent acoustic wave propagation ⋮ On the duality of the potential method and the point source method in inverse scattering problems ⋮ Numerical implementation for reconstruction of inhomogeneous conductivities via generalized polarization tensors ⋮ A fast direct imaging method for the inverse obstacle scattering problem with nonlinear point scatterers ⋮ On the reconstruction of Dirichlet-to-Neumann map in inverse scattering problems with stability estimates ⋮ Recovering the Dirichlet-to-Neumann map in inverse scattering problems using integral equation methods ⋮ Extracting discontinuity using the probe and enclosure methods ⋮ A model function method for determining the regularizing parameter in potential approach for the recovery of scattered wave ⋮ Recovery of multiple obstacles by probe method

This page was built for publication: The numerical realization of the probe method for the inverse scattering problems from the near-field data