Scientific journal "The News of Altai State University". 2013 #1-2(77). Mathematics and Mechanics.

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1-2(77)

2013

$Mathematics and Mechanics$

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A.S. Kuzikov, S.S. Kuzikov

Iterative Technique of Stokes Problem Solution

The paper puts forward a Stokes problem solution technique based on the minimization of the functional which is the square of a velocity vector divergence norm. To do this the gradient method is used. The properties of the functional are studied and the convergence of the approximation sequence to the Stokes problem solution is proved.

Key words: Stokes problem, functional, gradient method, convergence

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