A Survey of a Posteriori Error Estimators and Adaptive Approaches in the Finite Element Method.

Abstract

In general, the objective of a computational solution of a practical problem is to obtain an acceptably accurate and reliable prediction of the behavior of the physical phenomena under study. For this computation should produce not only an approximate numerical solution but also some reliable information about its accuracy. This survey is intended to give an overview of some of the recent results that have become available about reliable, computable error estimators for finite element solutions as they exist in the design of adaptive solution procedures both in the linear as well as the nonlinear case. By necessity, the discussion had to be kept on a descriptive level and for all mathematical details we need to refer to the cited literature.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1982
Accession Number
ADA116609

Entities

People

  • Ivo Babuška
  • Werner Rheinboldt

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Layer
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Engineering
  • Equations
  • Estimators
  • Finite Element Analysis
  • Materials
  • Mechanics
  • Numerical Analysis
  • Poisson Ratio
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Library and Information Science
  • Statistical inference.