P. V. Vinogradova, A. G. Zarubin, J. O. Suetina, “Projection and projection-difference methods for the solution of the Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 2011, Volume 51, Number 5,Pages <nobr>898

Projection and projection-difference methods for the solution of the Navier–Stokes equations

P. V. Vinogradova^a, A. G. Zarubin^b, J. O. Suetina^b

^a Far Eastern State University of Railway Communications, ul. Serysheva 47, Khabarovsk, 680021 Russia
^b Pacific State University, ul. Tikhookeanskaya 136, Khabarovsk, 680035 Russia

Abstract: The projection and projection-difference methods for the approximate solution of the nonlinear unsteady Navier–Stokes equations in a bounded two-dimensional region are studied. Asymptotic estimates for the convergence rate of the approximate solutions and the time and space derivatives in the uniform topology are obtained.

Key words: Navier–Stokes equations, rate of convergence, Galerkin's method, projection-difference method.

UDC: 517.634

Received: 05.03.2010
Revised: 16.07.2010