On the iterative regularization of non-linear illposed problems in \(L^{\infty}\)

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (1)

Tangential Cone Condition for the Full Waveform Forward Operator in the Viscoelastic Regime: The Nonlocal Case

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Regularization methods in Banach spaces.
Towards a general convergence theory for inexact Newton regularizations
Iterative regularization methods for nonlinear ill-posed problems
Theory of function spaces II
The use of Morozov's discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems
Quasi-solution of linear inverse problems in non-reflexive Banach spaces
Convergence and adaptive discretization of the IRGNM Tikhonov and the IRGNM Ivanov method under a tangential cone condition in Banach space
A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
A proximal point method in nonreflexive Banach spaces
The Ivanov regularized Gauss-Newton method in Banach space with an a posteriori choice of the regularization radius
An inexact Newton regularization in Banach spaces based on the nonstationary iterated Tikhonov method
Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity
An optimal transport approach for seismic tomography: application to 3D full waveform inversion
Discretization of variational regularization in Banach spaces
The approximate inverse in action: IV. Semi-discrete equations in a Banach space setting
The Tangential Cone Condition for Some Coefficient Identification Model Problems in Parabolic PDEs
Newton regularizations for impedance tomography: convergence by local injectivity
On Restrictions and Extensions of the Besov and Triebel-Lizorkin Spaces with Respect to Lipschitz Domains
Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
Biorthogonal bases of compactly supported wavelets
On the regularization of nonlinear ill-posed problems via inexact Newton iterations
On convergence and convergence rates for Ivanov and Morozov regularization and application to some parameter identification problems in elliptic PDEs
Linear and Nonlinear Inverse Problems with Practical Applications
Optimal transport in full-waveform inversion: analysis and practice of the multidimensional Kantorovich–Rubinstein norm
Tangential cone condition and Lipschitz stability for the full waveform forward operator in the acoustic regime
Inverse Problems for Abstract Evolution Equations II: Higher Order Differentiability for Viscoelasticity

This page was built for publication: On the iterative regularization of non-linear illposed problems in \(L^{\infty}\)