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Zbl 0738.76040
Kechkar, Nasserdine; Silvester, David
Analysis of locally stabilized mixed finite element methods for the Stokes problem. (English)
[J] Math. Comput. 58, No.197, 1-10 (1992). ISSN 0025-5718; ISSN 1088-6842/e

Summary: In this paper, a locally stabilized finite element formulation of the Stokes problem is analyzed. A macroelement condition which is sufficient for the stability of (locally stabilized) mixed methods based on a piecewise constant pressure approximation is introduced. By satisfying this condition, the stability of the $Q\sb 1-P\sb 0$ quadrilateral, and the $P\sb 1-P\sb 0$ triangular element, can be established.

MSC 2000:: *76M10 Finite element methods
76D07 Stokes flows

Keywords: locally stabilized finite element formulation; Stokes problem; piecewise constant pressure approximation

Cited in: Zbl 1240.76017

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