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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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Error estimators for nonconforming finite element approximations of the Stokes problem
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by Enzo Dari, Ricardo Durán and Claudio Padra PDF
Math. Comp. 64 (1995), 1017-1033 Request permission

Abstract:

In this paper we define and analyze a posteriori error estimators for nonconforming approximations of the Stokes equations. We prove that these estimators are equivalent to an appropriate norm of the error. For the case of piecewise linear elements we define two estimators. Both of them are easy to compute, but the second is simpler because it can be computed using only the right-hand side and the approximate velocity. We show how the first estimator can be generalized to higher-order elements. Finally, we present several numerical examples in which one of our estimators is used for adaptive refinement.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Math. Comp. 64 (1995), 1017-1033
  • MSC: Primary 65N30; Secondary 65N50, 76D07, 76M10
  • DOI: https://doi.org/10.1090/S0025-5718-1995-1284666-9
  • MathSciNet review: 1284666