On the Reliability and Optimality of the Finite Element Method.

Abstract

An overview is presented of recent theoretical and experimental results on reliable and computationally efficient a-posteriori error bounds for finite element solutions. These estimates are composed from error indicators evaluated on the individual elements and these indicators in turn allow for a very effective approach to the effective construction of optimal meshes. Finally, some views are presented about possible future trends in the development of finite element software and an outline is given of the design of an experimental finite element system currently under development.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1978
Accession Number
ADA053028

Entities

People

  • Ivo Babuška
  • Werner Rheinboldt

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Computational Processes
  • Computations
  • Computer Science
  • Computers
  • Construction
  • Convergence
  • Estimators
  • Finite Element Analysis
  • Models
  • Polynomials
  • Reliability
  • Sequences
  • Universities

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Instructional Design and Training Evaluation.