Skip to main content
Log in

Isolation of singularities in the density and the kernel of a two-dimensional integral equation for complex boundary surfaces

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

Abstract

We consider the solution of integral equations in problems of three-dimensional electromagnetic fields in piecewise-homogeneous media. An algorithm is proposed for analytical isolation of singularities in the kernel and the density of the integral equation of potential theory for the case of complex boundary surfaces.

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. V. I. Krylov, V. V. Bobkov, and P. I. Monastyrskii, Computational Methods [in Russian], Vol. 1, Nauka, Moscow (1976).

    Google Scholar 

  2. I. V. Lyudkevich and A. N. Chukhlebov, “Numerical solution of the Fredholm integral equation of the 1st kind for the Dirichlet problem by isolation of singularities on the boundary,” Vychisl. Prikl. Mat., No. 22, 30–36 (1974).

    Google Scholar 

  3. B. G. Freikman, “Isolation of singularity in integral equations of three-dimensional electromagnetic field,” ZhTF,50, No. 2, 425–427 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Vychislitel'naya i Prikladnaya Matematika, No. 56, pp. 14–17, 1985

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bakalets, V.A., Shirii, I.I. Isolation of singularities in the density and the kernel of a two-dimensional integral equation for complex boundary surfaces. J Math Sci 54, 758–761 (1991). https://doi.org/10.1007/BF01097583

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01097583

Keywords

Navigation