Abstract
The effectiveness of gradient algorithms for solving the inverse problem which are regulated in terms of the number of iterations is investigated.
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Literature cited
A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Incorrect Problems [in Russian], Nauka, Moscow (1974).
O. M. Alifanov, Identification of Heat-Transfer Processes of Aircraft (Introduction to the Theory of Inverse Heat-Transfer Problem) [in Russian], Mashinostroenie, Moscow (1979).
O. M. Alifanov and N. V. Kerov, “Determining the parameters of the external thermal load from the solution of the two-dimensional inverse heat-conduction problem,” Inzh.-Fiz. Zh.,41, No. 4, 581–586 (1981).
O. M. Alifanov and S. V. Rumyantsev, “Stability of iterative methods of solving linear incorrect problems,” Dokl. Akad. Nauk SSSR,248, No. 6, 1289–1291 (1979).
O. M. Alifanov and S. V. Rumyantsev, “Regularizing iterative algorithms for solving inverse heat-conduction problems,” Inzh.-Fiz. Zh.,39, No. 2, 253–258 (1980).
E. A. Artyukhin and S. V. Rumyantsev, “Optimal choice of descent step in gradient methods of solving inverse heat-conduction problems,” Inzh.-Fiz. Zh.,39, No. 2, 264–269 (1980).
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 48, No. 4, pp. 658–666, April, 1985.
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Alifanov, O.M., Egorov, Y.V. Algorithms and results of solving the inverse heat-conduction boundary problem in a two-dimensional formulation. Journal of Engineering Physics 48, 489–496 (1985). https://doi.org/10.1007/BF00872080
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DOI: https://doi.org/10.1007/BF00872080