Variational source condition for ill-posed backward nonlinear Maxwell’s equations
type: Item
instance of: scholarly article
title: Variational source condition for ill-posed backward nonlinear Maxwell’s equations
zbMATH Open document ID: 1414.35223
author: De-Han Chen
author: Irwin Yousept
published in: Inverse Problems
publication date: 2019-01-14T00:00:00Z
Mathematics Subject Classification ID: 35Q61
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 47J06
Mathematics Subject Classification ID: 47A52
Mathematics Subject Classification ID: 65J20
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 30E05
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 7000904
zbMATH Keywords: nonlinear Maxwell's equations
zbMATH Keywords: ill-posed backward evolution equations
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: variational source condition
zbMATH Keywords: inverse problems
MaRDI profile type: Publication
OpenAlex ID: W2900170959
cites work: Well-posedness of an electric interface model and its finite element approximation
cites work: On the interplay of basis smoothness and specific range conditions occurring in sparsity regularization
cites work: Regularization properties of the sequential discrepancy principle for Tikhonov regularization in Banach spaces
cites work: Optimal control of the full time-dependent Maxwell equations
cites work: Convergence rates inℓ1-regularization if the sparsity assumption fails
cites work: An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems
cites work: Elastic-net regularization versus ℓ 1 -regularization for linear inverse problems with quasi-sparse solutions
cites work: Q4895893
cites work: One-Parameter Semigroups for Linear Evolution Equations
cites work: A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction
cites work: Simultaneous identification of electric permittivity and magnetic permeability
cites work: Convergence rates of Tikhonov regularizations for parameter identification in a parabolic-elliptic system
cites work: Theory and examples of variational regularization with non-metric fitting functionals
cites work: Generalized Tikhonov regularization and modern convergence rate theory in Banach spaces
cites work: Generalized Bregman distances and convergence rates for non-convex regularization methods
cites work: Q3093929
cites work: A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
cites work: Verification of a variational source condition for acoustic inverse medium scattering problems
cites work: Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems
cites work: Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods
cites work: Parameter choice in Banach space regularization under variational inequalities
cites work: Newton regularizations for impedance tomography: convergence by local injectivity
cites work: Identification of nonlinear B–H curves based on magnetic field computations and multigrid methods for ill-posed problems
cites work: Iterative methods for nonlinear ill-posed problems in Banach spaces: convergence and applications to parameter identification problems
cites work: Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity
cites work: Q5634306
cites work: Finite Element Methods for Maxwell's Equations
cites work: An elementary proof for a compact imbedding result in generalized electromagnetic theory
cites work: Q3909512
cites work: Well posedness and convergence of some regularisation methods for non-linear ill posed problems
cites work: Regularization methods in Banach spaces.
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Maxwell's boundary value problem on Riemannian manifolds with nonsmooth boundaries
cites work: Q3760934
cites work: H ∞ Functional Calculus and Characterization of Domains of Fractional Powers
cites work: Optimal control of Maxwell's equations with regularized state constraints
cites work: Optimal control of quasilinear \(\mathbf{H}(\mathbf{curl})\)-elliptic partial differential equations in magnetostatic field problems
cites work: Optimal Control of Non-Smooth Hyperbolic Evolution Maxwell Equations in Type-II Superconductivity
cites work: Hyperbolic Maxwell Variational Inequalities for Bean's Critical-State Model in Type-II Superconductivity
Wikidata QID: Q128980434
DOI: 10.1088/1361-6420/AAEEBE
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description: scientific article; zbMATH DE number 7000904