Nonconforming Finite Elements for the Stokes Problem
- 1 April 1989
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 52 (186) , 437-456
- https://doi.org/10.2307/2008475
Abstract
A new stability result is obtained for the approximation of the stationary Stokes problem by nonconforming piecewise cubic approximations to the velocities and a discontinuous piecewise quadratic approximation to the pressure. The basic result is that for most reasonable meshes, these elements form a stable pair without the addition of quartic bubble functions (which had previously been added to insure stability).Keywords
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