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Estimation of a temporally and spatially varying diffusion coefficient in a parabolic system by an augmented Lagrangian technique

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Parameter Estimation for Distributed Systems Arising in Fluid Flow Problems via Time Series Methods
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Partielle Differentialgleichungen
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Optimal Control of Systems Governed by Partial Differential Equations
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Non-Homogeneous Boundary Value Problems and Applications
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Output least squares stability in elliptic systems
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First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
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The augmented lagrangian method for equality and inequality constraints in hilbert spaces
inferredcites →https://doi.org/10.1007/bfb0006504openalex-snapshot
Second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
inferredcites →https://doi.org/10.1029/wr022i002p00095openalex-snapshot
Review of Parameter Identification Procedures in Groundwater Hydrology: The Inverse Problem
inferredcites →https://doi.org/10.1088/0266-5611/5/1/006openalex-snapshot
Regularity properties and strict complementarity of the output-least-squares approach to parameter estimation in parabolic equations
inferredcites →https://doi.org/10.1088/0266-5611/5/4/007openalex-snapshot
Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
inferredcites →https://doi.org/10.1109/cdc.1987.272735openalex-snapshot
Asymptotic embedding methods for parameter estimation
inferredcites →https://doi.org/10.1109/tac.1985.1103955openalex-snapshot
Estimation of variable coefficients in parabolic distributed systems
inferredcites →https://doi.org/10.1137/0328006openalex-snapshot
The Augmented Lagrangian Method for Parameter Estimation in Elliptic Systems
inferredcites →https://doi.org/10.1137/0328007openalex-snapshot
Optimization with an Auxiliary Constraint and Decomposition
inferredcites →https://doi.org/10.1137/0912048openalex-snapshot
A Numerical Study of an Augmented Lagrangian Method for the Estimation of Parameters in Elliptic Systems
inferredcites →https://doi.org/10.1201/chlenopuamtopenalex-snapshot
Lecture Notes in Pure and Applied Mathematics
inferredcites →https://doi.org/10.2307/2318095openalex-snapshot
Optimal Control of Systems Governed by Partial Differential Equations.

What points at this work

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Applications of Stable Numerical Differentiation Procedures
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Augmented Lagrangian Methods for Contact Problems, Optimal Control and Image Restoration
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Contributions to Nonlinear Inverse Problems Arising in Parameter Estimation for Elliptic Systems
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A Gauss-Newton Method for the Identification of Nonlinear Heat Transfer Laws
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Identification of Nonlinear Heat Transfer Laws by means of Boundary Data
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Identification of diffusion parameters in a nonlinear convection–diffusion equation using the augmented Lagrangian method
inferred← citeshttps://doi.org/10.1007/s10957-004-0944-yopenalex-snapshot
Parameter Estimation with the Augmented Lagrangian Method for a Parabolic Equation
inferred← citeshttps://doi.org/10.1016/0898-1221(93)90172-ropenalex-snapshot
Identification of transmissivity coefficients by mollification techniques. Part I: One-dimensional elliptic and parabolic problems
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Reconstruction of a permeability field with the wavelet multiscale–homotopy method for a nonlinear convection–diffusion equation
inferred← citeshttps://doi.org/10.1016/j.automatica.2014.05.027openalex-snapshot
Frequency domain sample maximum likelihood estimation for spatially dependent parameter estimation in PDEs
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A wavelet multiscale method for the inverse problem of a nonlinear convection–diffusion equation
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An efficient numerical parameter estimation scheme for the space-dependent dispersion coefficient of a solute transport equation in porous media
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Regularization algorithm within two parameters for the identification of the heat conduction coefficient in the parabolic equation
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Permeability Estimation with the Augmented Lagrangian Method for a Nonlinear Diffusion Equation
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Identification of nonlinear heat transfer laws by optimal control
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SQP methods for parameter identification problems arising in hyperthermia
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An adaptive homotopy method for permeability estimation of a nonlinear diffusion equation
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Identification of space-dependent permeability in nonlinear diffusion equation from interior measurements using wavelet multiscale method
inferred← citeshttps://doi.org/10.1088/0266-5611/12/5/015openalex-snapshot
Stability estimates for the identification of nonlinear heat transfer laws
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Robust reconstruction of a physical parameter distribution using fewer field measurements of another physical variable: resolution of the problem of determination of conductivity
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Permeability estimation of a porous structure in cancer treatment based on sampled velocity measurement*
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An Inverse Problem in American Options as a Mathematical Program with Equilibrium Constraints: C-Stationarity and an Active-Set-Newton Solver
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A Numerical Study of an Augmented Lagrangian Method for the Estimation of Parameters in Elliptic Systems
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Sequential and Parallel Splitting Methods for Bilinear Control Problems in Hilbert Spaces
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Trust-Region Interior-Point SQP Algorithms for a Class of Nonlinear Programming Problems
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Mesh-Independence for an Augmented Lagrangian-SQP Method in Hilbert Spaces
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Determination of the Temperature-Dependent Thermal Material Properties in the Cooling Process of Steel Plates
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Parameter estimation of temperature dependent material parameters in the cooling process of TMCP steel plates
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