Article

    Ufa Mathematical Journal
    Volume 8, Number 2, pp. 22-38

    Gradient methods for solving Stokes problem.


    Golichev I.I., Luchnikova N.I., Sharipov T.R.

    DOI:10.13108/2016-8-2-22

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    In the present paper we consider gradient type iterative methods for solving the Stokes problem in bounded regions, where the pressure serves as the control; they are obtained by reducing the problem to that of a variational type. In the differential form the proposed methods are very close to the algorithms in the Uzawa family. We construct consistent finite-difference algorithms and we present their approbation on the sequence of grids for solving two-dimensional problem with a known analytic solution.