On the A-Posteriori Estimation of the Modelling Error for the Heat Conduction in a Plate and Its Use for Adaptive Hierarchic Modelling

Abstract

The paper addresses the a-posteriori error estimates of modelling heat convection problems in a plate. it derives estimators which are essentially local (of the size of the thickness of the plate). The estimator is guaranteed to be an upper bound. The lower bound of the error is also given. The asymptotic exactness of the estimator with respect to the thickness of the plate and with respect to the order of the model is proven. The adaptive procedure based on this a-posteriori error estimator is proposed. Numerical examples are given.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1993
Accession Number
ADA267965

Entities

People

  • C. Schwab
  • I. Lee
  • Ivo Babuška

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Applied Mathematics
  • Boundary Layer
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Estimators
  • Finite Element Analysis
  • Mathematics
  • Numerical Analysis
  • Physical Sciences
  • Precision
  • Statistics
  • Theorems
  • Thickness
  • Three Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Combustion and Flow Dynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)