Estimation and Control Error Based on P-Convergence,

Abstract

The relative error in energy can be estimated on the basis of the asmptotic estimate ot thte rate of p-convergence. Nearly optimal control of error can be achieved when feedback information, generated from p-convergence data, is used for deciding whether the mesh should be refined or the polynomial degree of elements increased. Partial Contents: Convergence in energy norm; Problems with smooth solutions; Problems with stress singularities; and Estimates of error in energy norm.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1984
Accession Number
ADA159595

Entities

People

  • B. A. Szabo

Organizations

  • University of Washington

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Aspect Ratio
  • Boundaries
  • Cantilever Beams
  • Computations
  • Convergence
  • Energy
  • Engineering
  • Errors
  • Fracture (Mechanics)
  • Internal Pressure
  • Mechanics
  • Modulus Of Elasticity
  • Numbers
  • Oscillation
  • Polynomials
  • Stress Intensity Factors
  • Stresses

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Regression Analysis.