A Feedback Finite Element Method with a Posteriori Error Estimation. Part 1. The Finite Element Method and Some Basic Properties of the A Posteriori Error Estimator.

Abstract

This paper is the first in a series of three which discusses some theoretical and practical aspect of a feedback finite element method for solving systems of linear second order elliptic partial differential equations (with particular interest in classical linear elasticity). This first part introduces some nonstandard finite element spaces, though based on the usual square bilinear elements, permit local mesh refinement. The algebraic structure of these spaces and their approximation properties are analysed. An equivalent estimator for the H1 finite element error is developed.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1984
Accession Number
ADA148345

Entities

People

  • Alex M. Miller
  • Ivo Babuška

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Coercivity
  • Crack Tips
  • Differential Equations
  • Elastic Properties
  • Errors
  • Estimators
  • Finite Element Analysis
  • Grids
  • Numerical Analysis
  • Partial Differential Equations
  • Standards
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.
  • Structural Dynamics.

Technology Areas

  • Space