On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors

Serge Prudhomme, J. T. Oden*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

274 Scopus citations

Abstract

A method to estimate and control pointwise errors in finite element approximations of elliptic problems is presented as an application of the more general theory of goal-oriented error estimation. In the latter, the accuracy of numerical approximations is assessed in terms of measures that are of practical interest to engineers rather than the classical global energy norm. Goal-oriented error estimation requires the solution of a problem dual to the original problem and the computation of several global error estimates. The performance of the method is carefully tested in the particular case of estimation and control of pointwise errors on a one-dimensional problem.

Original languageEnglish (US)
Pages (from-to)313-331
Number of pages19
JournalComputer Methods in Applied Mechanics and Engineering
Volume176
Issue number1-4
DOIs
StatePublished - Jul 6 1999

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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