The Finite Element Method for Parabolic Equations. II. A Posteriori Error Estimation and Adaptive Approach.

Abstract

We extend in this paper the analysis of a posteriori estimates of the space discretization error presented in a previous paper (3) for time-independent space meshes. In the context of the model problem studied there, results are given relating the effectivity of the error estimator to properties of the solution, space, meshes, and manner in which the meshes change. A procedure based upon this theory is presented for the adaptive construction of time-dependent meshes. The results of some computational experiments show that this procedure is practically very effective and suggest that it can be used to control the space discretization error in more general problems. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1982
Accession Number
ADA116441

Entities

People

  • Ivo Babuška
  • M. Bieterman

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Biomedical
  • C4I
  • Human Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Value Problems
  • Chemical Reactions
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computers
  • Differential Equations
  • Equations
  • Estimators
  • Finite Element Analysis
  • Gaussian Quadrature
  • Inequalities
  • Numbers
  • Numerical Analysis
  • Partial Differential Equations
  • Theorems

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space