Boffi, Daniele and Cavallini, Nicola and Gardini, Francesca and Gastaldi, Lucia:
Stabilized Stokes Elements and Local Mass Conservation
Bollettino dell'Unione Matematica Italiana Serie 9 5 (2012), fasc. n.3, p. 543-573, (English)
pdf (6.7 MB), djvu (419 Kb). | MR 3051736 | Zbl 1291.76197
Sunto
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.
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