Skip to main content
Log in

Solving the Helmholtz equation in some infinite domains

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

A numerical-analytical method is proposed to solve boundary-value problems for the Heimholtz equation in two-dimensional domains of complicated configuration.

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. M. Brekhovskikh and Yu. P. Lysanov, Theoretical Foundations of Ocean Acoustics [in Russian], Gidrometeoizdat, Leningrad (1982).

    Google Scholar 

  2. A. V. Gladkii, “Numerical solution of the Helmholtz equation with complex coefficients,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 2, 75–78 (1984).

    Google Scholar 

  3. V. Yu. Zavadskii, Finite-Difference Method in Wave Problems of Acoustics [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  4. J. Keller (ed.), Propagation of Waves and Underwater Acoustics [Russian translation], Mir, Moscow (1982).

    Google Scholar 

  5. A. A. Samarskii, An Introduction to the Theory of Difference Schemes [in Russian], Nauka, Moscow (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Vychislitel'naya i Prikladnaya Matematika, No. 61, pp. 9–11, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gladkii, A.V. Solving the Helmholtz equation in some infinite domains. J Math Sci 63, 408–410 (1993). https://doi.org/10.1007/BF01849520

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01849520

Keywords

Navigation