Skip to main content
SpringerLink
Log in

One class of three-layer difference schemes and the fictitious domain method

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

References

  1. E. G. D'yakonov, “On constructing iterative methods by means of spectrally equivalent operators,” Zh. Vychisl. Mat. i Mat. Fiz.,6, No. 1, 12–34 (1966).

    Google Scholar 

  2. A. A. Samarskiî, “On regularization of difference schemes,” Zh. Vychisl. Mat. i Mat. Fiz.,7, No. 1, 62–93 (1967).

    Google Scholar 

  3. Yu. M. Laevsky, “Preconditioning operators for grid parabolic problems,” Russian J. Numer. Anal. Math. Modelling,11, No. 6, 497–515 (1996).

    Article  MATH  MathSciNet  Google Scholar 

  4. S. V. Nepomnyashchikh, “Mesh theorems of traces, normalizations of functions traces and their inversion,” Soviet J. Numer. Anal. Math. Modelling,6, No. 3, 1–25 (1991).

    MathSciNet  Google Scholar 

  5. A. A. Samarskiî, Introduction to the Theory of Difference Schemes [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  6. A. A. Samarskiî and A. V. Gulin, Stability of Difference Schemes [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  7. P. G. Ciarlet, The Finite Element Method for Elliptic Problems [Russian translation], Mir, Moscow (1982).

    Google Scholar 

  8. A. M. Matsokin and S. V. Nepomnyashchikh, “The fictitious space method and explicit extension operators,” Zh. Vychisl. Mat. i Mat. Fiz.,33, No. 1, 52–68 (1993).

    MATH  MathSciNet  Google Scholar 

  9. G. P. Astrakhantsev, “The fictitious domain method for a second-order elliptic equation with natural boundary conditions,” Zh. Vychisl. Mat. i Mat. Fiz.,18, No. 1, 118–125 (1978).

    MATH  Google Scholar 

  10. A. M. Matsokin, “The fictitious component method that uses the extension operator,” in: Variational Methods in Problems of Numerical Analysis [in Russian], Vychisl. Tsentr Sibirsk. Akad. Nauk Rossiîsk. Akad. Nauk, 1991, pp. 104–111.

  11. S. V. Nepomnyashchikh, “The fictitious domain and domain decomposition methods for elliptic boundary value problems,” in: Modelling in Mechanics,6, No. 4, 85–99 (1992).

  12. A. M. Matsokin, “Norm-preserving extension of mesh functions,” in: Variational Methods in Problems of Numerical Analysis [in Russian], Vychisl. Tsentr Sibirsk. Akad. Nauk Rossiîsk. Akad. Nauk, 1986, pp. 111–132.

Download references

Authors
  1. Yu. M. Laevsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The research was financially supported by the Russian Foundation for Basic Research (Grant 98-01-00709) and the program “Universities of Russia” (Grant 3H 336-99).

Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 40, No. 5, pp. 1086–1094, September–October, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Laevsky, Y.M. One class of three-layer difference schemes and the fictitious domain method. Sib Math J 40, 917–924 (1999). https://doi.org/10.1007/BF02674721

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02674721

Keywords

Search

Navigation