Error analysis of some finite element methods for the Stokes problem
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- by Rolf Stenberg PDF
- Math. Comp. 54 (1990), 495-508 Request permission
Abstract:
We prove the optimal order of convergence for some two-dimensional finite element methods for the Stokes equations. First we consider methods of the Taylor-Hood type: the triangular ${P_3} - {P_2}$ element and the ${Q_k} - {Q_{k - 1}},$, $k \geq 2$, family of quadrilateral elements. Then we introduce two new low-order methods with piecewise constant approximations for the pressure. The analysis is performed using our macroelement technique, which is reviewed in a slightly altered form.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Math. Comp. 54 (1990), 495-508
- MSC: Primary 65N30; Secondary 65N15
- DOI: https://doi.org/10.1090/S0025-5718-1990-1010601-X
- MathSciNet review: 1010601