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Solution of the nonlinear inverse thermal conductivity problem by the iteration method

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Journal of engineering physics Aims and scope

Abstract

A regular iteration algorithm is constructed for the case of a nonlinear generalized thermal conductivity equation for determination of the nonstationary thermal flux. The algorithm is based on the method of conjugate gradients.

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Literature cited

  1. E. Polak, Computational Methods in Optimization, Academic Press (1971).

  2. O. M. Alifanov, Teplofiz. Vys. Temp.,15, No. 3 (1977).

  3. L. V. Petukhov and V. A. Troitskii, Prikl. Mat. Mekh.,36, No. 4 (1972).

  4. F. P. Vasil'ev, Lectures on Methods of Solution of Extremal Problems [in Russian], Moscow State Univ. (1974).

  5. O. M. Alifanov, Inzh. Fiz. Zh.,26, No. 4 (1974).

  6. A. N. Tikhonov, Dokl. Akad. Nauk SSSR,151, No. 3 (1963).

  7. V. A. Morozov, Zh. Vychisl. Mat. Mat. Fiz.,8, No. 2 (1968).

  8. O. M. Alifanov and S. V. Rumyantsev, Inzh.-Fiz. Zh.,34, No. 2 (1978).

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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 35, No. 6, pp. 1123–1129, December, 1978.

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Alifanov, O.M., Mikhailov, V.V. Solution of the nonlinear inverse thermal conductivity problem by the iteration method. Journal of Engineering Physics 35, 1501–1506 (1978). https://doi.org/10.1007/BF01104861

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  • DOI: https://doi.org/10.1007/BF01104861

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