Abstract
Consideration has been given to the employment of the conjugate problems of first and second orders, which are applied to solution of the inverse problems of heat exchange, to calculate the error of solution of the primal problem from the data on the error of the initial information. It has been shown that the algorithms of solution of the inverse problems of heat exchange in a variational formulation make it possible to directly determine the error of the corresponding primal problems by calculation of the Hessian range.
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REFERENCES
O. M. Alifanov, Inverse Problems of Heat Exchange [in Russian], Moscow (1988).
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Alekseev, A.K. Employment of the Conjugate Equations of First and Second Order in Evaluating the Error of Solution of the Heat‐Conduction Equation. Journal of Engineering Physics and Thermophysics 75, 446–452 (2002). https://doi.org/10.1023/A:1015662109908
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DOI: https://doi.org/10.1023/A:1015662109908