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Article information
1996 , Volume 1, ¹ 2, p.90-98
Semin L.G., Slepzov A.G., Shapeev V.P.
Method of collocations - least squares for Stokes equations
Method of collocations - least squares for Stokes equations has been constructed for the solution of boundary-value problems for Stokes equations. The method has been implemented on a regular square grid. The working formulae accuracy has been tested on a series of test problems. The experiment showed the convergence of the numerical solution. The results were analyzed on a sequence which showed that the convergence of the implemented version is no worse for smooth solutions than for the second order. The calculation results for the flow in a rectangular ñavern with a moving upper boundary obtained by the method of collocations - least squares have been compared with the calculation results of other authors and with the experimental data which showed a good agreement between them.The formulae for the method have been obtained by means of computer algebra.
[full text] Classificator Msc2000:- *35Q30 Stokes and Navier-Stokes equations
- 65N06 Finite difference methods
- 65N35 Spectral, collocation and related methods
Keywords: grid method, collocations, least squares
Author(s):
Semin LeonidG.
PhD.
Position: Research Scientist
Office: Institute of Theoretical and Applied Mechanics of SB RAS
Address: 630090, Russia, Novosibirsk, Institutskaya str., 4/1
E-mail: l_semin@ngs.ru
Slepzov Anatolii Georgievich
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, ac. Lavrentyev Ave. 6
Phone Office: (3832) 356570
Shapeev Vasily Pavlovich
Dr. , Professor
Position: General Scientist
Office: Institute of Theoretical and Applied Mechanics of SB RAS, Novosibirsk State University
Address: 630090, Russia, Novosibirsk, Institutskaya Str., 4/1
Phone Office: (383) 330 27 13
E-mail: vshapeev@ngs.ru
SPIN-code: 7128-5536
Bibliography link:
Semin L.G., Slepzov A.G., Shapeev V.P. Method of collocations - least squares for Stokes equations // Computational technologies. 1996. V. 1. ¹ 2. P. 90-98
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