A new approach for solving the Stokes problem |
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Authors: | M Gachpazan A Kerayechian |
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Institution: | 1. Dept. of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
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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 the velocity functions by piecewise linear functions. Then, the approximate values of pressure are obtained by a finite difference scheme. |
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