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Problems of Identification of Distributed Parameter Models of Heat Transfer. Part 1

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Journal of Engineering Thermophysics Aims and scope

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Abstract

Analysis of approaches to identification of thermal conductivity equation in partial derivatives has been performed. Conditions of uniqueness of solution to this problem are considered. The relation between the method of simple iterations of search for desired functions and the steepest descent method for bound operators has been shown. A conclusion has been made on the necessity to switch to regularization methods at incompressible mapping of solution to next iteration and for unbounded operators. A computational experiment has been performed. It shows that calculation of increments of functions via differentiation of the thermal conductivity equation with the temperature increment expressed via a residual functional is not sufficient for regularization of unstable solution. A conclusion has been made on the direction of development of the iterative variation method.

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  1. Moscow Aviation Institute (National Research University), Moscow, Russia

    O. M. Alifanov, A. V. Nenarokomov & A. G. Vikulov

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  1. O. M. Alifanov
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Alifanov, O.M., Nenarokomov, A.V. & Vikulov, A.G. Problems of Identification of Distributed Parameter Models of Heat Transfer. Part 1. J. Engin. Thermophys. 31, 609–640 (2022). https://doi.org/10.1134/S1810232822040087

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