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

  • Authors:

  • I. V. Sergienko;S. I. Lyashko;S. A. Voitsekhovskii

  • Affiliations:

  • V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine aik@public.icyb.kiev.ua;T. G. Shevchenko National University, Kiev, Ukraine sil@dialektica.com;T. G. Shevchenko National University, Kiev, Ukraine

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2004

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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(h1/2) in the grid norm W21(ω), are constructed for these problems.