Geodesic
On some finite-difference approximations of Stokes problem
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 3, pp. 573-580

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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. 
@article{FPM_1995_1_3_a0,
     author = {P. P. Aristov and E. V. Chizhonkov},
     title = {On some finite-difference approximations of {Stokes} problem},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {573--580},
     publisher = {mathdoc},
     volume = {1},
     number = {3},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a0/}
}
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P. P. Aristov; E. V. Chizhonkov. On some finite-difference approximations of Stokes problem. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 3, pp. 573-580. http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a0/