Analysis of locally stabilized mixed finite element methods for the Stokes problem
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- by Nasserdine Kechkar and David Silvester PDF
- Math. Comp. 58 (1992), 1-10 Request permission
Abstract:
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 ${Q_1} - {P_0}$ quadrilateral, and the ${P_1} - {P_0}$ triangular element, can be established.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Math. Comp. 58 (1992), 1-10
- MSC: Primary 65N15; Secondary 65N30, 76D07, 76M10
- DOI: https://doi.org/10.1090/S0025-5718-1992-1106973-X
- MathSciNet review: 1106973