Realistic computable error bounds for three dimensional finite element analyses in linear elasticity

Mark Ainsworth, Richard Andrew Robert Rankin

Research output: Contribution to journalArticle

10 Citations (Scopus)
75 Downloads (Pure)

Abstract

We obtain a computable estimator for the energy norm of the error in piecewise affine and piecewise quadratic finite element approximations of linear elasticity in three dimensions. We show that the estimator provides guaranteed upper bounds on the energy norm of the error as well as (up to a constant and data oscillation terms) local lower bounds.

Original languageEnglish
Pages (from-to)1909-1926
Number of pages18
JournalComputer Methods in Applied Mechanics and Engineering
Volume200
Issue number21-22
DOIs
Publication statusPublished - May 2011

Keywords

  • finite element
  • elasticity
  • computable error bounds

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