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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References
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Gachpazan, M., Kerayechian, A. A new approach for solving the Stokes problem. Korean J. Comput. & Appl. Math. 8, 151–164 (2001). https://doi.org/10.1007/BF03011629
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DOI: https://doi.org/10.1007/BF03011629