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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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Weighted inf-sup condition and pointwise error estimates for the Stokes problem
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by Ricardo G. Durán and Ricardo H. Nochetto PDF
Math. Comp. 54 (1990), 63-79 Request permission

Abstract:

Convergence of mixed finite element approximations to the Stokes problem in the primitive variables is examined in maximum norm. Quasioptimal pointwise error estimates are derived for discrete spaces satisfying a weighted inf-sup condition similar to the Babuška -Brezzi condition. The usual techniques employed to prove the inf-sup condition in energy norm can be easily extended to the present situation, thus providing several examples to our abstract framework. The popular Taylor-Hood finite element is the most relevant one.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Math. Comp. 54 (1990), 63-79
  • MSC: Primary 65N30; Secondary 65N15, 76-08, 76D07
  • DOI: https://doi.org/10.1090/S0025-5718-1990-0995211-2
  • MathSciNet review: 995211