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A gradient descent method for solving an inverse coefficient heat conduction problem

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Abstract

An iterative gradient descent method is applied to solve an inverse coefficient heat conduction problem with overdetermined boundary conditions. Theoretical estimates are derived showing how the target functional varies with varying the coefficient. These estimates are used to construct an approximation for a target functional gradient. In numerical experiments, iteration convergence rates are compared for different descent parameters.

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Correspondence to S. I. Kabanikhin.

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Original Russian Text © S.I. Kabanikhin, A. Hasanov, A.V. Penenko, 2008, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2008, Vol. 11, No. 1, pp. 41–54.

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Kabanikhin, S.I., Hasanov, A. & Penenko, A.V. A gradient descent method for solving an inverse coefficient heat conduction problem. Numer. Analys. Appl. 1, 34–45 (2008). https://doi.org/10.1134/S1995423908010047

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  • DOI: https://doi.org/10.1134/S1995423908010047

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