Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty

J. Tinsley Oden*, Ivo Babuška, Fabio Nobile, Yusheng Feng, Raul Tempone

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

48 Scopus citations

Abstract

The reliability of computer predictions of physical events depends on several factors: the mathematical model of the event, the numerical approximation of the model, and the random nature of data characterizing the model. This paper addresses the mathematical theories, algorithms, and results aimed at estimating and controlling modeling error, numerical approximation error, and error due to randomness in material coefficients and loads. A posteriori error estimates are derived and applications to problems in solid mechanics are presented.

Original languageEnglish (US)
Pages (from-to)195-204
Number of pages10
JournalComputer Methods in Applied Mechanics and Engineering
Volume194
Issue number2-5 SPEC. ISS.
DOIs
StatePublished - Feb 4 2005

Keywords

  • Adaptive modeling
  • Modeling error estimation
  • Stochastic partial differential equations

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

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