Title: Nonconforming finite elements for the Stokes problem
Authors: Michel Crouzeix and Richard S. Falk
Source: Math. Comp., vo 52 (1989)m, No. 186, pp. 437-456
Status: Published
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).
Key words: Stokes, finite element, nonconforming
AMS(MOS) subject classifications. 65N30