Nonconforming finite elements for the Stokes problem

Crouzeix, Michel; Falk, Richard S.

doi:10.1090/S0025-5718-1989-0958870-8

Nonconforming finite elements for the Stokes problem
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by Michel Crouzeix and Richard S. Falk PDF

Math. Comp. 52 (1989), 437-456 Request permission

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).

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