Estimate of the rate of convergence of the method of lines in the problem of optimal heating of a rod (Q1087384)
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scientific article; zbMATH DE number 3988867
| Language | Label | Description | Also known as |
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| English | Estimate of the rate of convergence of the method of lines in the problem of optimal heating of a rod |
scientific article; zbMATH DE number 3988867 |
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Estimate of the rate of convergence of the method of lines in the problem of optimal heating of a rod (English)
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1985
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The authors treat a parabolic optimal control problem, the background of which is the optimal heating of a rod. A consistent semi- (time-) discrete approximation of the original problem is given and convergence properties with respect to the associated minizing functional are shown. To achieve strong convergence with respect to control the authors applicate the regularization method of \textit{A. N. Tikhonov} and \textit{V. Ya. Arsenin} [Methods for the solution of ill-posed problems (1979; Zbl 0499.65030)].
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initial, boundary-value problem
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parabolic optimal control problem
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optimal heating of a rod
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consistent semi- (time-) discrete approximation
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strong convergence
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regularization method of \textit{A. N. Tikhonov} and \textit{V. Ya. Arsenin}
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