Regularization procedures of mixed finite element approximations of the stokes problem
- 1 September 1989
- journal article
- research article
- Published by Wiley in Numerical Methods for Partial Differential Equations
- Vol. 5 (3), 241-258
- https://doi.org/10.1002/num.1690050307
Abstract
We propose a theoretical framework for the study of regularization of the Stokes problem. This enables us to perform a general error analysis and to apply it to known schemes as well as to a new one pertaining to the use of the P1‐P1 element. Finally we show that in the P1‐case the theory can also be used to get convergence results for elements obtained by addition of bubble functions, without using the usual mixed finite element machinery.This publication has 5 references indexed in Scilit:
- Simple C0 approximations for the computation of incompressible flowsComputer Methods in Applied Mechanics and Engineering, 1988
- A new finite element formulation for computational fluid dynamics: V. Circumventing the babuška-brezzi condition: a stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolationsComputer Methods in Applied Mechanics and Engineering, 1986
- A stable finite element for the stokes equationsCalcolo, 1984
- On the Stabilization of Finite Element Approximations of the Stokes EquationsPublished by Springer Nature ,1984
- PrefacePublished by Elsevier ,1978