A posteriori error estimation for acoustic wave propagation problems

J. Tinsley Oden*, Serge Prudhomme, Leszek Demkowicz

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

25 Scopus citations

Abstract

The main purpose of this paper is to review a posteriori error estimators for the simulation of acoustic wave propagation problems by computational methods. Residual-type (explicit and implicit) and recovery-type estimators are presented in detail in the case of the Hehnholtz problem. Recent work on goal-oriented error estimation techniques with respect to so-called quantities of interest or output functionals are also accounted for. Fundamental results from a priori error estimation are presented and issues dealing with pollution error at large wave numbers are extensively discussed.

Original languageEnglish (US)
Pages (from-to)343-389
Number of pages47
JournalArchives of Computational Methods in Engineering
Volume12
Issue number4
DOIs
StatePublished - 2005

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

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