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Numerical aspects of one stabilization method

  • E. V. Chizhonkov
Published/Copyright: May 3, 2007
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Russian Journal of Numerical Analysis and Mathematical Modelling
From the journal Volume 18 Issue 5

To stabilize the solution of a nonlinear parabolic equation with prescribed rate by the boundary conditions we construct the discrete analogue of the algorithm proposed for the differential case by A. V. Fursikov. The informative part of the work is the analysis and use of the procedure for the approximate projection of the solution onto a specially constructed manifold. Qualitative differences between the discrete and continuous approaches are fixed.

Published Online: 2007-05-03
Published in Print: 2003-10-01

Copyright 2003, Walter de Gruyter

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