Validation of A-Posteriori Error Estimators by Numerical Approach

Abstract

A numerical methodology which determines the quality (or robustness) of a-posteriori error estimators is described. The methodology accounts precisely for the factors which affect the quality of error estimators for finite-element solutions of linear elliptic problems, namely, the local geometry of the grid and the structure of the solution. The methodology can be employed to check the robustness of any estimator for the complex grids which are used in engineering computations.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1993
Accession Number
ADA269493

Entities

People

  • C. S. Upadhyay
  • Ivo Babuška
  • K. Copps
  • S. K. Gangaraj
  • T. Strouboulis

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Aspect Ratio
  • Boundary Value Problems
  • Computations
  • Differential Equations
  • Engineering
  • Equations
  • Estimators
  • Finite Element Analysis
  • Geometry
  • Interpolation
  • Materials
  • Mathematical Analysis
  • Military Research
  • Numerical Analysis
  • Standards
  • Theorems
  • Topology

Fields of Study

  • Mathematics

Readers

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