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Mathematics of Computation

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Nonconforming finite elements for the Stokes problem

Authors: Michel Crouzeix and Richard S. Falk
Journal: Math. Comp. 52 (1989), 437-456
MSC: Primary 65N30; Secondary 76-08, 76D07
MathSciNet review: 958870
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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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Keywords: Stokes, finite element, nonconforming
Article copyright: © Copyright 1989 American Mathematical Society