Fully computable bounds for the error in nonconforming finite element approximations of arbitrary order on triangular elements

M. Ainsworth, R. Rankin

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We obtain a fully computable a posteriori error bound on the broken energy norm of the error in the nonconforming finite element approximation on triangles of arbitrary order of a linear second order elliptic problem with variable permeability. The estimator is completely free of unknown constants and provides a guaranteed numerical bound on the broken energy norm of the error. This estimator 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
Original languageEnglish
Pages (from-to)3207-3232
Number of pages25
JournalSIAM Journal on Numerical Analysis
Volume46
Issue number6
DOIs
Publication statusPublished - 2008

Keywords

  • robust a posteriori error estimation
  • nonconforming finite element

Fingerprint Dive into the research topics of 'Fully computable bounds for the error in nonconforming finite element approximations of arbitrary order on triangular elements'. Together they form a unique fingerprint.

  • Cite this