Guaranteed computable error bounds for conforming and nonconforming finite element analyses in planar elasticity

Mark Ainsworth, R. Rankin

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


We obtain fully computable a posteriori error estimators for the energy norm of the error in second-order conforming and nonconforming finite element approximations in planar elasticity. These estimators are completely free of unknown constants and give a guaranteed numerical upper bound on the norm of the error. The estimators are shown to also provide local lower bounds, up to a constant and higher-order data oscillation terms. Numerical examples are presented illustrating the theory and confirming the effectiveness of the estimator.
Original languageEnglish
Pages (from-to)1114-1157
Number of pages43
JournalInternational Journal for Numerical Methods in Engineering
Issue number9
Publication statusPublished - 28 May 2010


  • finite element
  • elasticity
  • a posteriori error bounds

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