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Solution of the Retrospective Inverse Heat Conduction Problem with Parametric Optimization

  • Heat and Mass Transfer and Physical Gasdynamics
  • Published:
High Temperature Aims and scope

Abstract

The retrospective inverse heat conduction problem has been solved as a problem of optimal control of an object with distributed parameters. The initial ill-posed statement of the inverse problem is transformed into a conditionally well-posed one when the limitations imposed on the second derivative of the desired control, which corresponds to a reduction of the set of control actions to the class of continuous and continuously differentiable functions, are taken into account. Preliminary parameterization of the control actions makes it possible to formulate a mathematical programming problem, which can be solved based on the analytical method of minimax optimization with alternance specific features of the desired optimal temperature deviations.

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Authors and Affiliations

  1. Samara State Technical University, Samara, 443100, Russia

    A. N. Diligenskaya

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  1. A. N. Diligenskaya
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Correspondence to A. N. Diligenskaya.

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Original Russian Text © A.N. Diligenskaya, 2018, published in Teplofizika Vysokikh Temperatur, 2018, Vol. 56, No. 3, pp. 399–406.

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Diligenskaya, A.N. Solution of the Retrospective Inverse Heat Conduction Problem with Parametric Optimization. High Temp 56, 382–388 (2018). https://doi.org/10.1134/S0018151X18020050

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  • DOI: https://doi.org/10.1134/S0018151X18020050

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