Article information

2000 , Volume 5, ¹ 2, p.3-13

Beijumanov M., Otelbayev M.O., Smagulov S.S.

The method of fictitious domain for spectral problem of Stokes operator

The spectral problem for the method of fictitious domain of Stokes operator has been investigated. Double-side estimates of the eigen-values and eigen-functions have been given. The velocity of the eigen-values convergence in the method of fictitious domain to the eigen-values of the boundary problem of Stokes operator by [Java Applet] has been obtained.

[full text] Classificator Msc2000:
*35A25 Other special methods
35B60 Continuation and prolongation of solutions of PDE
35D05 Existence of generalized solutions
35Q30 Stokes and Navier-Stokes equations

Keywords: Stokes equation, boundary value problem, spectral problem, weak solution, fictitious domain

Author(s):
Beijumanov M
Address: 480078, Kazakhstan, Almatu

Otelbayev MO.
Address: 480012, Kazakhstan, Almatu

Smagulov Shaltai Smagulovich
Position: Professor
Address: 480012, Kazakhstan, Almatu
Phone Office: (3272) 675710


Bibliography link:
Beijumanov M., Otelbayev M.O., Smagulov S.S. The method of fictitious domain for spectral problem of Stokes operator // Computational technologies. 2000. V. 5. ¹ 2. P. 3-13
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