Skip to main content
Log in

Stages of transformation of block elements

  • Mechanics
  • Published:
Doklady Physics Aims and scope Submit manuscript

Abstract

The property to have various representations is investigated for the block elements describing the solutions of boundary-value problems for sets of partial differential equations in the regions with a boundary. These representations have various destinations. One of the representations, which is called packed, is convenient for constructing solutions in block structures on the basis of solutions in separate blocks. Another representation, which is called unpacked, is convenient for a detailed investigation of the properties of solutions in an individual block of the block structure.

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. I. M. Gel’fand, M. I. Graev, and I. I. Pyatetskii-Shapiro, Theory of Representations and Automorphic Functions (Nauka, Moscow, 1968) [in Russian].

    MATH  Google Scholar 

  2. N. Ya. Vilenkin, Special Functions and Theory of Representation of Groups (Nauka, Moscow, 1991) [in Russian].

    Book  MATH  Google Scholar 

  3. V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, E. M. Gorshkova, A. V. Zaretskaya, A. S. Mukhin, and A. V. Pavlova, Dokl. Phys. 61 (11), 515 (2015).

    Article  ADS  Google Scholar 

  4. V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko, Fiz. Mezomekh. 15 (1), 95 (2012).

    Google Scholar 

  5. R. Kurant, Partial Differential Equations (Mir, Moscow, 1964) [in Russian].

  6. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics (Nauka, Moscow, 1966) [in Russian].

    MATH  Google Scholar 

  7. V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko, Dokl. Phys. 61 (2016) [in press].

    Google Scholar 

  8. V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko, Ekol. Vestn. Nauch. Tsentrov ChES, No. 2, 8 (2015).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. A. Babeshko.

Additional information

Original Russian Text © V.A. Babeshko, O.V. Evdokimova, O.M. Babeshko, 2016, published in Doklady Akademii Nauk, 2016, Vol. 468, No. 2, pp. 154–158.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Babeshko, V.A., Evdokimova, O.V. & Babeshko, O.M. Stages of transformation of block elements. Dokl. Phys. 61, 227–231 (2016). https://doi.org/10.1134/S1028335816050049

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1028335816050049

Navigation