A reduced basis Landweber method for the identification of piecewise constant Robin coefficient in an elliptic equation
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Publication:2162413
DOI10.1515/jiip-2021-0002zbMath1495.31008OpenAlexW3174298841MaRDI QIDQ2162413
Publication date: 5 August 2022
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip-2021-0002
Convex programming (90C25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)
Uses Software
Cites Work
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- Iterative regularization methods for nonlinear ill-posed problems
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- Estimation techniques for distributed parameter systems
- A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
- A reduced basis Landweber method for nonlinear inverse problems
- Numerical identification of a Robin coefficient in parabolic problems
- A Note on the Nonlinear Landweber Iteration
- Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method
- A fast collocation method for an inverse boundary value problem
- Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
- Numerical Estimation of Piecewise Constant Robin Coefficient
- Numerical estimation of the Robin coefficient in a stationary diffusion equation
- An inverse problem in corrosion detection
- Quadratic convergence of Levenberg-Marquardt method for elliptic and parabolic inverse robin problems
- Parameter estimation with model order reduction for elliptic differential equations
- Lipschitz stability for the inverse Robin problem
- Reduced Basis Methods for Partial Differential Equations
- On combining model reduction and Gauss–Newton algorithms for inverse partial differential equation problems