Finite-dimensional iteratively regularized processes with an a posteriori stopping for solving irregular nonlinear operator equations

DOI10.1515/jiip-2020-0091zbMath1490.65111OpenAlexW3094002387MaRDI QIDQ2075147

Alexander I. Kozlov, Mikhail Yu. Kokurin

Publication date: 14 February 2022

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2020-0091

zbMATH Keywords

inverse problemHilbert spaceiterative regularizationcollocation schemefinite-dimensional approximationquadrature schemeaccuracy estimateirregular equation

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear ill-posed problems (47J06) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (1)

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

Cites Work

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• The global search in the Tikhonov scheme
• Regularization algorithms for ill-posed problems
• A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems
• A posteriori stopping rule for regularized fixed point iterations
• Convexity of the Tikhonov functional and iteratively regularized methods for solving irregular nonlinear operator equations
• Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
• Finite dimensional iteratively regularized Gauss–Newton type methods and application to an inverse problem of the wave tomography with incomplete data range
• Convergence of projected iterative regularization methods for nonlinear problems with smooth solutions

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