FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 3, PAGES 573-580

On some finite-difference approximations of Stokes problem

P.P.Aristov
E.V.Chizhonkov

Several finite-difference schemes for the Stokes problem satisfying the Ladyzhenskaya--Babuska--Brezzi condition are considered. These schemes use staggered meshes (MAC--schemes) in rectangular domains. The aim of investigations is to obtain a dependence of a constant in the LBB--condition on geometric and grid parameters for a scheme and a comparative analysis of schemes with respect to the data obtained. Discrete eigenvalue problems were solved with high precision. Results of some three-dimensional calculations are presented.

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Location: http://mech.math.msu.su/~fpm/eng/95/953/95301.htm
Last modified: October 3, 1997.