Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations.,

Abstract

This paper concerns error estimates for methods of approximating the solution of a partial differential equation. The method in question is the so-called 'finite element method,' which was developed by structural engineers and is now widely used in all branches of engineering. The paper refines previously derived estimates of the error in 'maximum norm,' i.e. the maximum error (as opposed to an average error). The paper settles certain technical questions as to the rate of convergence of the finite element method in this norm. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1981
Accession Number
ADA099353

Entities

People

  • Ridgway Scott
  • Rolf Rannacher

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Classification
  • Computer Science
  • Contracts
  • Convergence
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Inequalities
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Theorems
  • Triangles
  • Two Dimensional
  • United States

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Statistical inference.
  • Systems Analysis and Design