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An Approximate Solution for a Class of Second-Order Elliptic Variational Inequalities in Arbitrary-Form Domains

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Abstract

Penalty and dummy-domain methods are used to approximate second-order elliptic variational inequalities with a restriction inside a domain by nonlinear boundary-value problems in a rectangle. Difference schemes, with the order of accuracy O(h 1/2) in the grid norm W 2 1(ω), are constructed for these problems.

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    I. V. Sergienko

  2. T. G. Shevchenko National University, Kiev, Ukraine

    S. I. Lyashko & S. A. Voitsekhovskii

Authors
  1. I. V. Sergienko
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  2. S. I. Lyashko
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  3. S. A. Voitsekhovskii
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Sergienko, I.V., Lyashko, S.I. & Voitsekhovskii, S.A. An Approximate Solution for a Class of Second-Order Elliptic Variational Inequalities in Arbitrary-Form Domains. Cybernetics and Systems Analysis 40, 486–490 (2004). https://doi.org/10.1023/B:CASA.0000047870.13325.c2

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  • DOI: https://doi.org/10.1023/B:CASA.0000047870.13325.c2

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