Robust a posteriori error estimation for the nonconforming fortin-soulie finite element approximation

Ainsworth, M. and Rankin, R. (2008) Robust a posteriori error estimation for the nonconforming fortin-soulie finite element approximation. Mathematics of Computation, 77 (264). pp. 1917-1939. ISSN 0025-5718 (http://dx.doi.org/10.1090/S0025-5718-08-02116-9)

Abstract

We obtain a computable a posteriori error bound on the broken energy norm of the error in the Fortin-Soulie finite element approximation of a linear second order elliptic problem with variable permeability. This bound is shown to be efficient in the sense that it also provides a lower bound for the broken energy norm of the error up to a constant and higher order data oscillation terms. The estimator is completely free of unknown constants and provides a guaranteed numerical bound on the error.

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• Item metadata

  Item type:	Article
  ID code:	19573
  Dates:	Date Event 2008 Published
  Subjects:	Science > Mathematics > Electronic computers. Computer science Science > Mathematics Science > Mathematics > Computer software
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Strathprints Administrator
  Date deposited:	01 Jun 2010 11:59
  Last modified:	11 Nov 2024 09:19
  URI:	https://strathprints.strath.ac.uk/id/eprint/19573