Reliable a posteriori error control for non-conforming finite element approximation of Stokes flow

Dörfler, W. and Ainsworth, M. (2005) Reliable a posteriori error control for non-conforming finite element approximation of Stokes flow. Mathematics of Computation, 74 (252). pp. 1599-1619. ISSN 0025-5718 (http://dx.doi.org/10.1090/S0025-5718-05-01743-6)

Abstract

We derive computable a posteriori error estimates for the lowest order nonconforming Crouzeix-Raviart element applied to the approximation of incompressible Stokes flow. The estimator provides an explicit upper bound that is free of any unknown constants, provided that a reasonable lower bound for the inf-sup constant of the underlying problem is available. In addition, it is shown that the estimator provides an equivalent lower bound on the error up to a generic constant.

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• Item metadata

  Item type:	Article
  ID code:	2229
  Dates:	Date Event 3 January 2005 Published
  Keywords:	posteriori error, Crouzeix-Raviart element, Stokes flow, computation, mathematics, Mathematics, Physics, Algebra and Number Theory, Computational Mathematics, Applied Mathematics
  Subjects:	Science > Mathematics Science > Physics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Strathprints Administrator
  Date deposited:	29 Nov 2006
  Last modified:	01 Nov 2023 19:53
  URI:	https://strathprints.strath.ac.uk/id/eprint/2229