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Inverse boundary-value problems of heat conduction

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Abstract

Possible formulations of the problems of determining heat fluxes and temperatures at the boundary of a solid from known temperatures within the solid are examined. A classification of these formulations is offered. Various methods for solving one-dimensional inverse problems are analyzed.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 29, No. 1, pp. 13–25, July, 1975.

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Alifanov, O.M. Inverse boundary-value problems of heat conduction. Journal of Engineering Physics 29, 821–830 (1975). https://doi.org/10.1007/BF00860617

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