Geodesic
Gradient methods for solving Stokes problem
Ufa mathematical journal, Tome 8 (2016) no. 2, pp. 22-38 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the present paper we consider gradient type iterative methods for solving the Stokes problems 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 meshes for solving two-dimensional problem with a known analytic solution.
Keywords: Stokes problem, optimal control, gradient method, finite-difference scheme. 
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I. I. Golichev; T. R. Sharipov; N. I. Luchnikova. Gradient methods for solving Stokes problem. Ufa mathematical journal, Tome 8 (2016) no. 2, pp. 22-38. http://geodesic.mathdoc.fr/item/UFA_2016_8_2_a2/

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