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.
Keywords: weakly parabolic equation (elliptic equation with a dynamic interface condition); difference scheme; weak solution; rate of convergence
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
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