Inverse problem of groundwater modeling by iteratively regularized Gauss-Newton method with a nonlinear regularization term
DOI10.1016/j.na.2011.05.075zbMath1256.65049OpenAlexW2076328662MaRDI QIDQ640123
Necibe Tuncer, Alexandra B. Smirnova
Publication date: 17 October 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.05.075
algorithmconvergencenumerical exampleregularizationnonlinear equationill-posed problemGauss-Newton methodinverse problem of groundwater modeling
Newton-type methods (49M15) Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Inverse problems in geophysics (86A22) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)
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Cites Work
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- Image super-resolution by TV-regularization and Bregman iteration
- Towards a general convergence theory for inexact Newton regularizations
- Iterative regularization methods for nonlinear ill-posed problems
- Iterative methods with fuzzy feedback for solving irregular operator equations
- On the injectivity and linearization of the coefficient-to-solution mapping for elliptic boundary value problems
- Ill-posed problems with a priori information
- Iterative total variation regularization with non-quadratic fidelity
- A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
- A convergence analysis of the iteratively regularized Gauss–Newton method under the Lipschitz condition
- Convergence rates for the iteratively regularized Gauss–Newton method in Banach spaces
- Improving the Gauss–Newton convergence of a certain position registration scheme
- Iteratively Regularized Gauss–Newton Method for Nonlinear Inverse Problems with Random Noise
- Iterative total variation schemes for nonlinear inverse problems
- Optical tomography in medical imaging
- Numerical Optimization
- Regularization of nonlinear illposed problems with closed operators
- On convergence rates for the iteratively regularized Gauss-newton method
- Logarithmic convergence rates of the iteratively regularized Gauss - Newton method for an inverse potential and an inverse scattering problem
- On the construction of stable iterative methods for solving ill-posed nonlinear equations with nondifferentiable operators
- Complexity analysis of the iteratively regularized Gauss–Newton method with inner CG-iteration
- Regularizing Newton--Kaczmarz Methods for Nonlinear Ill-Posed Problems
- Convergence and application of a modified iteratively regularized Gauss–Newton algorithm
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