Reconstruction algorithms of an inverse conductive scattering problem for the Helmholtz equation

DOI10.1080/00036811.2020.1819533zbMath1490.65250OpenAlexW3112282160MaRDI QIDQ5085522

Publication date: 27 June 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1819533

zbMATH Keywords

integral equation ill-posed problem Levenberg-Marquardt algorithm trust-region-reflective optimization algorithm inverse conductive scattering problem

Mathematics Subject Classification ID

Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Cites Work

Unnamed Item
Unnamed Item
Reconstruction for cavities with impedance boundary condition
On rational approximation methods for inverse source problems
A global uniqueness theorem for an inverse boundary value problem
A comparison of two methods for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium
On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds
Inverse acoustic and electromagnetic scattering theory.
On a two-dimensional inverse scattering problem for a dielectric
Nonlinear integral equations for shape reconstruction in the inverse interior scattering problem
Reconstruction of Penetrable Obstacles in Acoustic Scattering
An anisotropic inverse boundary value problem
Determining conductivity by boundary measurements
THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN A PENETRABLE MEDIUM
An Algorithm for Least-Squares Estimation of Nonlinear Parameters
On uniqueness for anisotropic inhomogeneous inverse scattering problems
On the uniqueness of the inverse conductive scattering problem for the Helmholtz equation
Two methods for solving an inverse conductive scattering problem
The detection and monitoring of leukemia using electromagnetic waves: mathematical theory
A simple method for solving inverse scattering problems in the resonance region
A new method for reconstructing electromagnetic inhomogeneities of small volume
The detection and monitoring of leukemia using electromagnetic waves: numerical analysis
An inverse problem for the Helmholtz equation
An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
Nonlinear integral equations and the iterative solution for an inverse boundary value problem
The Resistive and Conductive Problems for the Exterior Helmholtz Equation
A method for the solution of certain non-linear problems in least squares

This page was built for publication: Reconstruction algorithms of an inverse conductive scattering problem for the Helmholtz equation