Skip to main content
Log in

Application of the regularization principle to the formulation of approximate solutions of inverse heat-conduction problems

  • Published:
Journal of engineering physics Aims and scope

Abstract

The synthesis of a Tikhonov-regularizing algorithm is discussed for the solution of integral equations in inverse heat-conduction problems of the first kind.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. L. I. Kamynin, Izv. Akad. Nauk SSSR, Ser. Matem.,28, 721–744 (1964).

    Google Scholar 

  2. M. Stoltz, Trans. ASME, Ser. C: J. Heat Transfer,82, No. 1, 20 (1960).

    Google Scholar 

  3. J. V. Beck, ASME Paper No. HT-46 (1962).

  4. E. M. Sparrow, A. Haji-Sheikh, and T. S. Lundgren, Trans. ASME, Ser. E: J. Appl. Mech.,86, No. 3, 369–375 (1964).

    Google Scholar 

  5. A. N. Tikhonov and V. B. Glasko, Zh. Vychislit. Matem. i Matem. Fiz.,7, No. 4, 910–914 (1967).

    Google Scholar 

  6. G. T. Aldoshin, A. S. Golosov, and V. I. Zhuk, Heat and Mass Transfer [in Russian], Vol. 8, Nauka i Tekhnika, Minsk (1968).

    Google Scholar 

  7. O. M. Alifanov, in: Studies in Convective Heat and Mass Transfer [in Russian], Nauka i Tekhnika, Minsk (1971).

    Google Scholar 

  8. V. A. Morozov, Dokl. Akad. Nauk SSSR,175, No. 6, 1225–1228 (1967).

    Google Scholar 

  9. V. A. Morozov, Zh. Vychislit. Matem. i Matem. Fiz.,8, No. 2, 295–309 (1968).

    Google Scholar 

  10. V. K. Ivanov, Zh. Vychislit. Matem. i Matem. Fiz.,6, No. 6, 1089–1094 (1966).

    Google Scholar 

  11. D. L. Phillips, J. Assoc. Computing Mach.,9, No. 1, 84–97 (1962).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 23, No. 6, pp. 1084–1091, December, 1972.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Alifanov, O.M. Application of the regularization principle to the formulation of approximate solutions of inverse heat-conduction problems. Journal of Engineering Physics 23, 1566–1571 (1972). https://doi.org/10.1007/BF00826526

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00826526

Keywords

Navigation