Gradient methods for solving Stokes problem

IF 0.5 Q3 MATHEMATICS
I. I. Golichev, Timur Sharipov, N. I. Luchnikova
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Abstract

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.
求解Stokes问题的梯度方法
本文考虑梯度型迭代法在有界区域上求解Stokes问题,其中压力作为控制;它们是通过将问题简化为变分型问题而得到的。在微分形式下,所提出的方法非常接近于Uzawa族中的算法。我们构造了一致有限差分算法,并在已知解析解的二维问题的网格序列上给出了它们的认可。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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CiteScore
1.10
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