Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

A NEW APPROACH FOR SOLVING THE STOKES PROBLEM

  • Gachpazan, M. (Dept. of Mathematics, Ferdowsi University of Mashhad) ;
  • Kerayechian, A. (Dept. of Mathematics, Ferdowsi University of Mashhad)
  • Published : 2001.01.01

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Abstract

In this paper, a new approach for finding the approximate solution of the Stokes problem is introduced. In this method the problem is transformed to an equivalent optimization problem. Then, by considering it as a distributed parameter control system, the theory of measure is used to approximate values of pressure are obtained by a finite difference scheme.

Keywords

References

  1. The Korean Journal of Computational and Applied Mathematics v.7 no.2 A new method for solving nonlinear second order partial differential equations M.Gachpazan;A.Kerayechian;A.V.Kamyad
  2. Lecture Notes in Mathematics v.749 Finite element opproximation of the Navier-Stokes equations V.Girault;P.A.Ravirat
  3. Numerical analysis for applied mathematics, science and engineering D.Greenspan;V.Casulli
  4. Control and Optimization : The Linear Treatment of nonlinear Problems J.E.Rubio