Geodesic
The multigrid method applied to a finite-element scheme for a two-dimensional Stokes-type system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 12, pp. 1797-1803 
B. V. Pal'tsev; I. I. Chechel'. The multigrid method applied to a finite-element scheme for a two-dimensional Stokes-type system. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 12, pp. 1797-1803. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_12_a4/
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     author = {B. V. Pal'tsev and I. I. Chechel'},
     title = {The multigrid method applied to a~finite-element scheme for a~two-dimensional {Stokes-type} system},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A two-dimensional system of the Stokes type, in which the coefficient of the highest order derivatives is a small parameter $\varepsilon>0$, is considered, and a version of the multigrid method is developed to handle a finite-element scheme for the system, obtained by using biquadratic elements for the velocities, linear elements for the pressure and an approximatively-solenoidal basis. Approximatively-solenoidal interpolations are defined and used to design the coarse-grid bases. Numerical experiments demonstrate a high rate of convergence even for very small $\varepsilon$ values.

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