Computable error bounds for nonconforming Fortin-Soulie finite element approximation of the Stokes problem

Mark Ainsworth, Alejandro Allendes, Gabriel R. Barrenechea, Richard Rankin

Research output: Journal PublicationArticlepeer-review

6 Citations (Scopus)

Abstract

We propose computable a posteriori error estimates for a second-order nonconforming finite element approximation of the Stokes problem. The estimator is completely free of unknown constants and gives a guaranteed numerical upper bound on the error in terms of a lower bound for the inf-sup constant of the underlying continuous problem. The estimator is also shown to provide a lower bound on the error up to a constant and higher-order data oscillation terms. Numerical results are presented illustrating the theory and the performance of the estimator.

Original languageEnglish
Pages (from-to)417-447
Number of pages31
JournalIMA Journal of Numerical Analysis
Volume32
Issue number2
DOIs
Publication statusPublished - Apr 2012
Externally publishedYes

Keywords

  • A posteriori error estimation
  • Fortin-Soulie element
  • Nonconforming finite element

ASJC Scopus subject areas

  • General Mathematics
  • Computational Mathematics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Computable error bounds for nonconforming Fortin-Soulie finite element approximation of the Stokes problem'. Together they form a unique fingerprint.

Cite this