Advertisement

Journal of Engineering Physics and Thermophysics

, Volume 65, Issue 6, pp 1195–1199 | Cite as

Regularization of nonstationary problems for elliptic equations

  • P. N. Vabishchevich
  • A. Yu. Denisenko
Article

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.

Keywords

Statistical Physic Elliptic Equation Hyperbolic Equation Reverse Time Nonstationary Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    O. M. Alifanov, Identification of Processes of Heat Transfer of Aircraft [in Russian], Moscow (1979).Google Scholar
  2. 2.
    A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Incorrect Problems [in Russian], Moscow (1979).Google Scholar
  3. 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).Google Scholar
  4. 4.
    P. N. Vabishchevich, V. M. Golovinin, G. G. Yelenin, et al., Computational Methods in Mathematical Physics [in Russian], Moscow (1986).Google Scholar
  5. 5.
    P. N. Vabishchevich, Izv. VUZov. Matematika, No. 8, 3–9 (1984).Google Scholar
  6. 6.
    R. Lattes and J.-L. Lions, The Quasiinversion Method and Its Applications [Russian translation], Moscow (1970).Google Scholar
  7. 7.
    J.-L. Lions, Optimal Control of Systems Described by Partial Differential Equations [Russian translation], Moscow (1972).Google Scholar
  8. 8.
    L. Sh. Abdulkerimov, Uch. Zap. Azerb. Univ., Ser. Fiz.-Mat. Nauk, No. 1, 32–36 (1974).Google Scholar
  9. 9.
    B. G. Karasik, Izv. Akad. Nauk AzSSR, Ser. Fiz.-Tekh. i Mat. Nauk, No. 6, 9–14 (1976).Google Scholar
  10. 10.
    P. N. Vabishchevich, Izv. VUZov, Matematika, No. 5, 13–19 (1983).Google Scholar
  11. 11.
    O. A. Ladyzhenskaya, Boundary-Value Problems of Mathematical Physics [in Russian], Moscow (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • P. N. Vabishchevich
  • A. Yu. Denisenko

There are no affiliations available

Personalised recommendations