In this paper we discuss lowest order stabilizations of Stokes finite elements. We study the behavior of the constants in front of the error estimates in terms of the stabilization parameters and confirm with numerical tests that the bounds are sharp. Moreover, we investigate the local mass conservation properties of the considered schemes and analyze new schemes with enhanced pressure approximation which guarantee a better local discretization of the divergence free constraint.
|Original language||English (US)|
|Number of pages||31|
|Journal||Bolletino dell Unione Matematica Italiana|
|State||Published - Jan 1 2012|