-

Abstract

The method of Stokes problems, based on the minimization of functional, which is the square of the norm of divergence of velocity vector. The iterative method was used in order to do it. The property of the approximation sequence to the Stokes problem solution was proved. In connection with the development of computing and information technology issues of the numerical solution of Stokes equations are attracting much attention of mathematicians and mechanics. Therefore, the development of efficient computational algorithms and mathematical foundation of methods for solving Stokes equations are the actual problem of computational mathematics. The relevance of the topic of research is also confirmed by numerous publications of different authors around the world on numerical simulation of problems Navier - Stokes.