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

M. Ainsworth, R. Rankin

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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
Issue number6
Publication statusPublished - 2008


  • robust a posteriori error estimation
  • nonconforming finite element

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