Finite dimensional iteratively regularized Gauss–Newton type methods and application to an inverse problem of the wave tomography with incomplete data range

DOI10.1080/17415977.2019.1628743zbMath1461.65110OpenAlexW2951170764WikidataQ127664955 ScholiaQ127664955MaRDI QIDQ4991477

O. V. Karabanova, Alexander I. Kozlov, Mikhail Yu. Kokurin

Publication date: 3 June 2021

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2019.1628743

zbMATH Keywords

iterative regularizationoperator equationcoefficient inverse problemirregular operatorfinite dimensional approximationwave tomographyincomplete data range

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for ill-posed problems for integral equations (65R30) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (3)

Iteratively regularized Gauss-Newton type methods for approximating quasi-solutions of irregular nonlinear operator equations in Hilbert space with an application to COVID-19 epidemic dynamics ⋮ Finite-dimensional iteratively regularized processes with an a posteriori stopping for solving irregular nonlinear operator equations ⋮ Projected finite dimensional iteratively regularized Gauss–Newton method with a posteriori stopping for the ionospheric radiotomography problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inverse acoustic and electromagnetic scattering theory.
• Regularization algorithms for ill-posed problems
• Inverse problems of 3D ultrasonic tomography with complete and incomplete range data
• A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems
• Iterative methods for solving coefficient inverse problems of wave tomography in models with attenuation
• Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
• Convergence of projected iterative regularization methods for nonlinear problems with smooth solutions
• Inverse problems for partial differential equations

This page was built for publication: Finite dimensional iteratively regularized Gauss–Newton type methods and application to an inverse problem of the wave tomography with incomplete data range