A-Posteriori Estimation and Adaptive Control of the Pollution-Error in the h-Version of the Finite Element Method

Abstract

We studied the pollution-error in the h-version of the finite element method and its effect on the quality of the local error indicators (resp. the quality of the derivatives recovered by local postprocessing) in the interior of the mesh. Here we show that it is possible to construct a-posteriori estimates of the pollution-error in a patch of elements by employing the local error indicators over the entire mesh. We also give an adaptive algorithm for the local control of the pollution-error in a patch of elements of interest.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1994
Accession Number
ADA285670

Entities

People

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

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Value Problems
  • Computations
  • Differential Equations
  • Engineering
  • Equations
  • Estimators
  • Extraction
  • Finite Element Analysis
  • Maryland
  • Mathematics
  • Military Research
  • Numerical Analysis
  • Physical Sciences
  • Polynomials
  • Standards
  • Universities

Readers

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