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An estimate for the convergence rate of difference schemes for second-order elliptic equations in domains of arbitrary shape

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Abstract

Using the dummy-domains method, a difference scheme is constructed for solving the first boundary-value problem for elliptic equations of the second order in domains of arbitrary shape. An estimate for the convergence rate of order O(h1/2) in the norm of W 12 is found. Bibliography:5 titles.

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References

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Authors
  1. S. A. Voitsekhovsky
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Translated fromObchyslyuval’na ta Prykladna Matematyka, No. 77, 1993, pp. 12–18

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Voitsekhovsky, S.A. An estimate for the convergence rate of difference schemes for second-order elliptic equations in domains of arbitrary shape. J Math Sci 77, 3406–3409 (1995). https://doi.org/10.1007/BF02367985

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  • DOI: https://doi.org/10.1007/BF02367985

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