Some inverse problems for a nonlinear parabolic equation connected with continuous casting of steel: Stability estimates and regularization∗

DOI10.1080/01630569008816395zbMath0738.65088OpenAlexW1999774859MaRDI QIDQ3980444

Heinz W. Engl, Andreas Binder, Sergio Vessella

Publication date: 26 June 1992

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569008816395

zbMATH Keywords

inverse problemTikhonov regularizationnonlinear parabolic partial differential equationsolidification frontstability estimationscooling strategysecondary steel coolingslab casting

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Related Items (6)

On an inverse problem arising in continuous casting of steel billets ⋮ Weakly closed nonlinear operators and parameter identification in parabolic equations by tikhonov regularization ⋮ A modified Newton-Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations ⋮ Parameter identification for a class of abstract nonlinear parabolic distributed parameter systems ⋮ An iterative regularization method for ill-posed Hammerstein type operator equation ⋮ Restoration of the cooling conditions in a three-dimensional continuous casting process using artificial intelligence algorithms

Cites Work

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• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• Numerical solution of an inverse problem connected with continuous casting of steel
• Stability estimates and regularization for an inverse heat conduction prolem in semi - infinite and finite time intervals
• SPECTRAL OPERATORS IN A DIRECT SUM OF HILBERT SPACES
• A harnack inequality for parabolic differential equations

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