A posteriori error estimates for the solution of nonlinear ill-posed operator equations
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Publication:5946008
DOI10.1016/S0362-546X(99)00413-7zbMath0994.35122WikidataQ126531644 ScholiaQ126531644MaRDI QIDQ5946008
Publication date: 7 October 2002
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Inverse problems for PDEs (35R30) Nonlinear ill-posed problems (47J06) Numerical solution to inverse problems in abstract spaces (65J22)
Related Items (4)
On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems ⋮ Lamé Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems ⋮ Necessary and sufficient conditions for linear convergence of ℓ1-regularization ⋮ Convergence rates of first- and higher-order dynamics for solving linear ill-posed problems
Cites Work
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- Identification problems in potential theory
- Stability estimates for obstacles in inverse scattering
- The problem of the convergence of the iteratively regularized Gauss- Newton method
- A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
- On the Landweber iteration for nonlinear ill-posed problems
- Finite-dimensional approximation of tikhonov regularized solutions of non-linear ill-posed problems
- Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
- Tikhonov regularisation for non-linear ill-posed problems: optimal convergence rates and finite-dimensional approximation
- Stability for an Inverse Problem in Potential Theory
- Local ill-posedness and source conditions of operator equations in Hilbert spaces
- A Newton-type method for a transmission problem in inverse scattering
- Convergence Rates of a Regularized Newton Method in Sound-Hard Inverse Scattering
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- Factors influencing the ill-posedness of nonlinear problems
- On the degree of ill-posedness for nonlinear problems
- On Converse and Saturation Results for Tikhonov Regularization of Linear Ill-Posed Problems
- 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
- Stability in crack determination from electrostatic measurements at the boundary-a numerical investigation
- Determining Linear Cracks by Boundary Measurements: Lipschitz Stability
- A Two-Level Method for the Discretization of Nonlinear Boundary Value Problems
- Linear integral equations
- Inverse problems for partial differential equations
- An introduction to the mathematical theory of inverse problems
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