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

M. Ainsworth, R. Rankin

Research output: Contribution to journalArticle

9 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)1917-1939
Number of pages22
JournalMathematics of Computation
Volume77
Issue number264
DOIs
Publication statusPublished - 2008

Keywords

  • robust a posteriori error estimation
  • nonconforming finite element
  • fortin-Soulie element

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