Integrating the probe and singular sources methods

DOI10.1515/jiip-2024-0006MaRDI QIDQ6654621

Publication date: 20 December 2024

Laplace equation inverse obstacle problem Carleman function singular sources method probe method needle sequence

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)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Stability estimates and reconstructions in inverse acoustic scattering using singular sources
Two sides of probe method and obstacle with impedance boundary condition
Reconstruction of the support function for inclusion from boundary measurements
New characterizations of solutions in inverse scattering theory
Inverse Modeling
Unification of the Probe and Singular Sources Methods for the Inverse Boundary Value Problem by the No-Response Test
On uniqueness of recovery of a discontinuous conductivity coefficient
Reconstruction of an obstacle from the scattering amplitude at a fixed frequency
Reconstruction of the shape of the inclusion by boundary measurements
A point source method for inverse acoustic and electromagnetic obstacle scattering problems
Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
How to draw a picture of an unknown inclusion from boundary measurements. Two mathematical inversion algorithms
Factorization of the far-field operator for the inhomogeneous medium case and an application in inverse scattering theory
The No Response Test---A Sampling Method for Inverse Scattering Problems
Reconstruction of inclusion from boundary measurements
A new formulation of the probe method and related problems
Uniqueness in inverse obstacle scattering (acoustics)
A simple method for solving inverse scattering problems in the resonance region
Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data
A new non-iterative inversion method for electrical resistance tomography
Revisiting the probe and enclosure methods
Monotonicity-Based Shape Reconstruction in Electrical Impedance Tomography
Probe method and a Carleman function
Inverse acoustic and electromagnetic scattering theory
Reconstruction of obstacle from boundary measurements.
Extracting discontinuity using the probe and enclosure methods

This page was built for publication: Integrating the probe and singular sources methods