Variational source conditions for inverse Robin and flux problems by partial measurements
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Publication:2077301
DOI10.3934/ipi.2021050zbMath1484.35406OpenAlexW3183613937MaRDI QIDQ2077301
Jun Zou, Daijun Jiang, Irwin Yousept, De-Han Chen
Publication date: 25 February 2022
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/ipi.2021050
Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Free boundary problems for PDEs (35R35) Rate of convergence, degree of approximation (41A25) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
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Cites Work
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- Finite and boundary element tearing and interconnecting solvers for multiscale problems
- Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems
- An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems
- Second order elliptic equations with mixed boundary conditions
- Strong positivity of solutions to parabolic and elliptic equations on nonsmooth domains.
- Theory and examples of variational regularization with non-metric fitting functionals
- Elastic-net regularization versus ℓ 1 -regularization for linear inverse problems with quasi-sparse solutions
- An adaptive finite element reconstruction of distributed fluxes
- Generalized Bregman distances and convergence rates for non-convex regularization methods
- Convergence rates for Tikhonov regularization of coefficient identification problems in Laplace-type equations
- A new approach to nonlinear constrained Tikhonov regularization
- Convergence rates of Tikhonov regularizations for parameter identification in a parabolic-elliptic system
- Parameter choice in Banach space regularization under variational inequalities
- Continuous dependence on data for solutions of partial differential equations with a prescribed bound
- Convergence rates of Tikhonov regularizations for elliptic and parabolic inverse radiativity problems
- Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
- Numerical Estimation of Piecewise Constant Robin Coefficient
- About stability and regularization of ill-posed elliptic Cauchy problems: the case ofC1,1domains
- Numerical estimation of the Robin coefficient in a stationary diffusion equation
- The stability for the Cauchy problem for elliptic equations
- Abstract Parabolic Evolution Equations and their Applications
- Regularity and perturbation results for mixed second order elliptic problems
- Identification of a Temperature Dependent Heat Conductivity from Single Boundary Measurements
- A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction
- Variational source condition for ill-posed backward nonlinear Maxwell’s equations
- An inverse problem in corrosion detection: stability estimates
- Convergence rates inℓ1-regularization if the sparsity assumption fails
- Variational Source Conditions in $L^p$-spaces
- Consistency of a phase field regularisation for an inverse problem governed by a quasilinear Maxwell system
- Oversmoothing Tikhonov regularization in Banach spaces *
- Convergence analysis of (statistical) inverse problems under conditional stability estimates
- A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
- Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods
- On the interplay of basis smoothness and specific range conditions occurring in sparsity regularization
- Numerical Reconstruction of Heat Fluxes
- Verification of a variational source condition for acoustic inverse medium scattering problems
- On a Priori Bounds in the Cauchy Problem for Elliptic Equations
- Boundary Element Methods
- Estimates of the Sobolev norm of a product of two functions
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