The Post-Processing Approach in the Finite Element Method. Part 1. Calculation of Displacements, Stresses, and other Higher Derivatives of the Displacements.

Abstract

This is the first in a series of three papers in which the authors discuss a method for post-processing a finite element solution to obtain high accuracy approximations for displacements, stresses, stress intensity factors etc. Rather than take the values of these quantities directly from the finite element solution, they evaluate certain weighted averages of the solution over the entire region. These yield approximations that are of the same order of accuracy as the strain energy. They obtain error estimates, and also present some numerical examples to illustrate the practical effectively of the technique. In the third paper of this series the authors address the matters of adaptive mesh selection and a'posteriori error estimation. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1982
Accession Number
ADA125039

Entities

People

  • Alex M. Miller
  • Ivo Babuška

Organizations

  • University of Maryland

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Applied Mechanics
  • Blending
  • Boundary Value Problems
  • Curve Fitting
  • Differential Equations
  • Elastic Properties
  • Finite Element Analysis
  • J Integrals
  • Maryland
  • Mechanics
  • Numerical Analysis
  • Numerical Quadrature
  • Standards
  • Stress Intensity Factors
  • Two Dimensional
  • Universities

Readers

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