A Posteriori Error Estimation for Hierarchic Models of Elliptic Boundary Value Problems on Thin Domains

Abstract

The boundary value problem of heat conduction in a three dimensional, laminated plate is approximated by a hierarchy of two dimensional models. Computable a-posteriori Indicators and estimators of the modelling error In various norms are derived and their local spectral and asymptotic exactness is proved. Sharp estimates for their effectivity indices are also obtained.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1993
Accession Number
ADA267714

Entities

People

  • C. Schwab
  • Ivo Babuška

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Errors
  • Estimators
  • Laminates
  • Materials
  • Precision
  • Sequences
  • Three Dimensional
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

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