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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

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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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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Math. Comp. 52 (1989), 437-456
  • MSC: Primary 65N30; Secondary 76-08, 76D07
  • DOI: https://doi.org/10.1090/S0025-5718-1989-0958870-8
  • MathSciNet review: 958870