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Difference schemes for the dirichlet problem for an elliptical equation with discontinuous coefficients in an arbitrary region on a regular grid

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Abstract

Exact difference scheme operators are used to construct a difference scheme for a second-order elliptical equation with discontinuous coefficients. The solution of the scheme converges to the solution of the original problem at a rate O(h1/2) in the grid norm W2 1(ω).

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Authors and Affiliations

  1. Kiev University, Kiev

    S. A. Voitsekhovskii & V. L. Makarov

Authors
  1. S. A. Voitsekhovskii
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  2. V. L. Makarov
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 56, pp. 3–7, 1985

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Voitsekhovskii, S.A., Makarov, V.L. Difference schemes for the dirichlet problem for an elliptical equation with discontinuous coefficients in an arbitrary region on a regular grid. J Math Sci 54, 747–751 (1991). https://doi.org/10.1007/BF01097581

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  • DOI: https://doi.org/10.1007/BF01097581

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