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.