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Pressure projection stabilizations for Galerkin approximations of Stokes’ and Darcy’s problem. (English) Zbl 1139.76029

Summary: We consider some recent stabilization techniques for Stokes’ problem and show that they are instances of the framework proposed by F. Brezzi and M. Fortin [Numer. Math. 89, No. 3, 457–491 (2001; Zbl 1009.65067)]. We also propose an analysis for Taylor-Hood elements with discontinuous pressures stabilized using penalization of the interelement pressure jumps.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76D07 Stokes and related (Oseen, etc.) flows
76S05 Flows in porous media; filtration; seepage

Citations:

Zbl 1009.65067
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References:

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