Inverse problem of groundwater modeling by iteratively regularized Gauss-Newton method with a nonlinear regularization term
type: Item
instance of: scholarly article
title: Inverse problem of groundwater modeling by iteratively regularized Gauss-Newton method with a nonlinear regularization term
zbMATH Open document ID: 1256.65049
author: Necibe Tuncer
author: Alexandra Smirnova
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2011-10-17T00:00:00Z
review text: An iteratively regularized Gauss-Newton method is proposed to solve nonlinear minimization problems which are associated with inverse problems and ill-posed nonlinear equations. The key feature of this method is that at each iteration step the regularization and stabilizing terms can be updated. Convergence of the method is established and illustrated by numerical examples.
reviewed by: Zhen Mei
Mathematics Subject Classification ID: 65J22
Mathematics Subject Classification ID: 86A22
Mathematics Subject Classification ID: 65J20
Mathematics Subject Classification ID: 47J06
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 65J15
zbMATH DE Number: 5959660
zbMATH Keywords: Gauss-Newton method
zbMATH Keywords: nonlinear equation
zbMATH Keywords: ill-posed problem
zbMATH Keywords: regularization
zbMATH Keywords: algorithm
zbMATH Keywords: inverse problem of groundwater modeling
zbMATH Keywords: convergence
zbMATH Keywords: numerical example
MaRDI profile type: Publication
full work available at URL: j.na.2011.05.075
OpenAlex ID: W2076328662
cites work: Numerical Optimization
cites work: Ill-posed problems with a priori information
cites work: Q4895893
cites work: On the construction of stable iterative methods for solving ill-posed nonlinear equations with nondifferentiable operators
cites work: Iterative regularization methods for nonlinear ill-posed problems
cites work: On convergence rates for the iteratively regularized Gauss-newton method
cites work: Logarithmic convergence rates of the iteratively regularized Gauss - Newton method for an inverse potential and an inverse scattering problem
cites work: A convergence analysis of the iteratively regularized Gauss–Newton method under the Lipschitz condition
cites work: Iteratively Regularized Gauss–Newton Method for Nonlinear Inverse Problems with Random Noise
cites work: Complexity analysis of the iteratively regularized Gauss–Newton method with inner CG-iteration
cites work: Convergence rates for the iteratively regularized Gauss–Newton method in Banach spaces
cites work: Towards a general convergence theory for inexact Newton regularizations
cites work: Improving the Gauss–Newton convergence of a certain position registration scheme
cites work: Regularizing Newton--Kaczmarz Methods for Nonlinear Ill-Posed Problems
cites work: Convergence and application of a modified iteratively regularized Gauss–Newton algorithm
cites work: Regularization of nonlinear illposed problems with closed operators
cites work: Iterative methods with fuzzy feedback for solving irregular operator equations
cites work: Optical tomography in medical imaging
cites work: Iterative total variation regularization with non-quadratic fidelity
cites work: Image super-resolution by TV-regularization and Bregman iteration
cites work: Iterative total variation schemes for nonlinear inverse problems
cites work: A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
cites work: Q3994914
cites work: On the injectivity and linearization of the coefficient-to-solution mapping for elliptic boundary value problems
DOI: 10.1016/J.NA.2011.05.075
Recommended article: Q4550108
Recommended article: Solving nonlinear inverse problems based on the regularized modified Gauss-Newton method
Recommended article: Q4860639
Recommended article: A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
Recommended article: An inverse problem from 2D ground-water modelling
Recommended article: A proximal iteratively regularized Gauss-Newton method for nonlinear inverse problems
Recommended article: Q3510730
Recommended article: Q3766230
Recommended article: Iteratively Regularized Gauss–Newton Method for Nonlinear Inverse Problems with Random Noise
Recommended article: Q3473565
description: scientific article; zbMATH DE number 5959660