Skip to main content
Log in

Regularization of nonstationary problems for elliptic equations

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

We consider properties and prove stationarity of regularized approximations of one of the problems with reverse time for a hyperbolic equation. Via time reversal, the latter is converted to an elliptic equation.

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

References

  1. O. M. Alifanov, Identification of Processes of Heat Transfer of Aircraft [in Russian], Moscow (1979).

  2. A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Incorrect Problems [in Russian], Moscow (1979).

  3. A. A. Samarskii and P. N. Vabishchevich, Difference Schemes for Nonstationary Problems [in Russian], Preprint No. 111, M. V. Keldysh Institute of Applied Mathematics, USSR Academy of Sciences, Moscow (1990).

  4. P. N. Vabishchevich, V. M. Golovinin, G. G. Yelenin, et al., Computational Methods in Mathematical Physics [in Russian], Moscow (1986).

  5. P. N. Vabishchevich, Izv. VUZov. Matematika, No. 8, 3–9 (1984).

    Google Scholar 

  6. R. Lattes and J.-L. Lions, The Quasiinversion Method and Its Applications [Russian translation], Moscow (1970).

  7. J.-L. Lions, Optimal Control of Systems Described by Partial Differential Equations [Russian translation], Moscow (1972).

  8. L. Sh. Abdulkerimov, Uch. Zap. Azerb. Univ., Ser. Fiz.-Mat. Nauk, No. 1, 32–36 (1974).

    Google Scholar 

  9. B. G. Karasik, Izv. Akad. Nauk AzSSR, Ser. Fiz.-Tekh. i Mat. Nauk, No. 6, 9–14 (1976).

    Google Scholar 

  10. P. N. Vabishchevich, Izv. VUZov, Matematika, No. 5, 13–19 (1983).

    Google Scholar 

  11. O. A. Ladyzhenskaya, Boundary-Value Problems of Mathematical Physics [in Russian], Moscow (1973).

Download references

Authors

Additional information

Moscow State University. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 65, No. 6, pp. 690–694, December, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vabishchevich, P.N., Denisenko, A.Y. Regularization of nonstationary problems for elliptic equations. J Eng Phys Thermophys 65, 1195–1199 (1993). https://doi.org/10.1007/BF00861941

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00861941

Keywords

Navigation