Convergence of the Hilbert uniqueness method via Tikhonov regularization

DOI10.1023/A:1021792225922zbMath0943.65109OpenAlexW185280565MaRDI QIDQ1964716

Stefan Kindermann

Publication date: 5 September 2000

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021792225922

zbMATH Keywords

convergencenumerical experimentsHilbert uniqueness methodTikhonov regularizationill-posed problempseudoinverseparabolic differential equation

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items

Strong convergent approximations of null controls for the 1D heat equation, Numerical exact controllability of the 1D heat equation: duality and Carleman weights, Some inverse and control problems for fluids, Regularity issues for the null-controllability of the linear 1-d heat equation, A mixed formulation for the direct approximation of \(L^2\)-weighted controls for the linear heat equation, Numerical null controllability of the heat equation through a least squares and variational approach, Regularization of exponentially ill-posed problems

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