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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 5, Pages 898–912 (Mi zvmmf9339)  
Projection and projection-difference methods for the solution of the Navier–Stokes equations

P. V. Vinogradovaa, A. G. Zarubinb, J. O. Suetinab

a Far Eastern State University of Railway Communications, ul. Serysheva 47, Khabarovsk, 680021 Russia
b Pacific State University, ul. Tikhookeanskaya 136, Khabarovsk, 680035 Russia
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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.
Received: 05.03.2010
Revised: 16.07.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 5, Pages 840–854
DOI: https://doi.org/10.1134/S0965542511050174
Bibliographic databases:
Document Type: Article
UDC: 517.634
Language: Russian
Citation: 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., 51:5 (2011), 898–912; Comput. Math. Math. Phys., 51:5 (2011), 840–854
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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