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BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2003

On the Rate of Convergence of Difference Schemes for the Poisson Equation with Dynamic Interface Conditions

  • Boško Jovanovič EMAIL logo and Lubin G. Vulkov

Abstract

The convergence of difference schemes for the two–dimensional weakly parabolic equation (elliptic equation with a dynamic interface condition) is studied. Estimates for the rate of convergence “almost” (except for the logarithmic factor) compatible with the smoothness of the differential problem solution in special discrete Sobolev norms are obtained.

Received: 2003-01-10
Revised: 2003-02-16
Accepted: 2003-03-21
Published Online: 2003
Published in Print: 2003

© Institute of Mathematics, NAS of Belarus

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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