Reliable Error Estimation and Mesh Adaptation for the Finite Element Method.

Abstract

In the past two decades computational structural analysis and design have developed into very extensive subject areas. A major contributing factor certainly is the evolution of the finite element method into a powerful tool for the solution of a broad range of problems. In this article we address two such questions which may be broadly phrased as follows: (a) How can we calculate, at reasonable cost, reliable estimates of the error of computed finite element solutions? (b) How should we set up the overall solution process so as to achieve, with reasonable certainty and efficiency, a solution for which the accuracy either falls into a prescribed range or is best possible for the allotted computational cost?

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1979
Accession Number
ADA079264

Entities

People

  • Ivo Babuška
  • Werner Rheinboldt

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Computations
  • Computer Science
  • Differential Equations
  • Engineering
  • Equations
  • Errors
  • Estimators
  • Finite Element Analysis
  • Linear Systems
  • Models
  • Poisson Ratio
  • Systems Engineering
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design