Variational source conditions for inverse Robin and flux problems by partial measurements
type: Item
instance of: scholarly article
title: Variational source conditions for inverse Robin and flux problems by partial measurements
zbMATH Open document ID: 1484.35406
author: Daijun Jiang
author: Irwin Yousept
author: Jun Zou
author: De-Han Chen
published in: Inverse Problems and Imaging
publication date: 2022-02-25T00:00:00Z
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 65M32
zbMATH DE Number: 7481236
zbMATH Keywords: convergence rates
zbMATH Keywords: inverse problems
zbMATH Keywords: variational source condition
zbMATH Keywords: logarithmic-type stability
MaRDI profile type: Publication
full work available at URL: ipi.2021050
OpenAlex ID: W3183613937
cites work: The stability for the Cauchy problem for elliptic equations
cites work: Q2753341
cites work: On the interplay of basis smoothness and specific range conditions occurring in sparsity regularization
cites work: An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems
cites work: About stability and regularization of ill-posed elliptic Cauchy problems: the case ofC1,1domains
cites work: Convergence rates inℓ1-regularization if the sparsity assumption fails
cites work: Oversmoothing Tikhonov regularization in Banach spaces *
cites work: Elastic-net regularization versus ℓ 1 -regularization for linear inverse problems with quasi-sparse solutions
cites work: Convergence rates of Tikhonov regularizations for elliptic and parabolic inverse radiativity problems
cites work: Variational source condition for ill-posed backward nonlinear Maxwell’s equations
cites work: Variational Source Conditions in $L^p$-spaces
cites work: An inverse problem in corrosion detection: stability estimates
cites work: Shapes and geometries. Analysis, differential calculus, and optimization
cites work: Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
cites work: A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction
cites work: Theory and examples of variational regularization with non-metric fitting functionals
cites work: Generalized Bregman distances and convergence rates for non-convex regularization methods
cites work: Convergence rates for Tikhonov regularization of coefficient identification problems in Laplace-type equations
cites work: A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
cites work: Parameter choice in Banach space regularization under variational inequalities
cites work: Verification of a variational source condition for acoustic inverse medium scattering problems
cites work: Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods
cites work: Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems
cites work: A new approach to nonlinear constrained Tikhonov regularization
cites work: Convergence rates of Tikhonov regularizations for parameter identification in a parabolic-elliptic system
cites work: Numerical Estimation of Piecewise Constant Robin Coefficient
cites work: Numerical estimation of the Robin coefficient in a stationary diffusion equation
cites work: Continuous dependence on data for solutions of partial differential equations with a prescribed bound
cites work: Identification of a Temperature Dependent Heat Conductivity from Single Boundary Measurements
cites work: Consistency of a phase field regularisation for an inverse problem governed by a quasilinear Maxwell system
cites work: Strong positivity of solutions to parabolic and elliptic equations on nonsmooth domains.
cites work: An adaptive finite element reconstruction of distributed fluxes
cites work: On a Priori Bounds in the Cauchy Problem for Elliptic Equations
cites work: Finite and boundary element tearing and interconnecting solvers for multiscale problems
cites work: Second order elliptic equations with mixed boundary conditions
cites work: Regularity and perturbation results for mixed second order elliptic problems
cites work: Boundary Element Methods
cites work: Q3136913
cites work: Estimates of the Sobolev norm of a product of two functions
cites work: Q3900552
cites work: Convergence analysis of (statistical) inverse problems under conditional stability estimates
cites work: Numerical Reconstruction of Heat Fluxes
cites work: Abstract Parabolic Evolution Equations and their Applications
DOI: 10.3934/IPI.2021050
description: scientific article; zbMATH DE number 7481236