Basic Problems of A-Posteriori Error Estimation

Abstract

This paper addresses basic questions regarding reliability of a-posteriori error estimation. It analyzes in detail an a-posteriori estimator for linear elements on triangular meshes. It gives the bounds of the effectivity index depending on the geometry of the triangles and smoothness of the approximated solution. The theoretical results are in concordance with the results of our numerical experiments. The second part analyzes in one dimensional setting a one parametric family of the estimators and their optimal selection for adaptively constructed meshes.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1992
Accession Number
ADA248986

Entities

People

  • Ivo Babuška
  • L. Plank
  • R. Rodriguez

Organizations

  • University of Maryland

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Birds
  • Differential Equations
  • Estimators
  • Geometry
  • Maryland
  • Mathematics
  • Optimal Estimators
  • Physical Sciences
  • Polygons
  • Precision
  • Reliability
  • Security
  • Sequences
  • Topology
  • Triangles
  • Universities

Fields of Study

  • Mathematics

Readers

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