A-Posteriori Error Estimates and Adaptive Techniques for the Finite Element Method.

Abstract

The theory of the computable a-posteriori error estimate for a finite element method is developed. Among other things, it is shown that the error estimate is very reliable and the ratio (called effectivity index) between the estimator and the true error approaches one. Numerical examples computed by program FEARS (Finite Element Adaptive Research Solver) of the University of Maryland, illustrate the effectivity and reliability of the estimators. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1981
Accession Number
ADA104003

Entities

People

  • Alex M. Miller
  • Ivo Babuška

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Computations
  • Computer Science
  • Construction
  • Elastic Properties
  • Errors
  • Estimators
  • Finite Element Analysis
  • Inequalities
  • Integrals
  • Maryland
  • Mathematics
  • Notation
  • Numbers
  • Real Numbers
  • Reliability
  • Universities

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)
  • Statistical inference.