Geodesic
On domain-robust preconditioners for the Stokes equations
Electronic transactions on numerical analysis, Tome 39 (2012), pp. 60-74
It is well known that the LBB-constant of the Stokes equations and its discrete counterpart degenerate on domains with high aspect ratio. For the solution of the corresponding linear system we propose two preconditioners that are proven to be independent of the aspect ratio of the underlying domain. Both preconditioners are based on a refined approximation of the Schur complement using a coarser grid.
Classification : 65N15, 65N30, 35Q30, 76D07
Keywords: Stokes equations, LBB constant, finite elements, mixed methods 
@article{ETNA_2012__39__a21,
     author = {Dobrowolski,  Manfred},
     title = {On domain-robust preconditioners for the {Stokes} equations},
     journal = {Electronic transactions on numerical analysis},
     pages = {60--74},
     year = {2012},
     volume = {39},
     zbl = {1287.65106},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2012__39__a21/}
}
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%A Dobrowolski,  Manfred
%T On domain-robust preconditioners for the Stokes equations
%J Electronic transactions on numerical analysis
%D 2012
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Dobrowolski,  Manfred. On domain-robust preconditioners for the Stokes equations. Electronic transactions on numerical analysis, Tome 39 (2012), pp. 60-74. http://geodesic.mathdoc.fr/item/ETNA_2012__39__a21/