Good, Better, and Best Meshes in Piecewise Linear Interpolation

Abstract

We first describe the good meshes obtained by C. deBoor which roughly equidistribute the classical error bound in piecewise linear interpolation. We then proceed to obtain better meshes which more precisely equidistribute this bound. Finally, we obtain meshes which equidistribute the maximum absolute error (not bound) and refer to these meshes as best. Some graphical results are then presented comparing these three types of meshes.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1991
Accession Number
ADA237327

Entities

People

  • Royce W. Soanes

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Classification
  • Engineering
  • Equations
  • Error Analysis
  • Errors
  • Information Security
  • Interpolation
  • Mathematics
  • Military Research
  • New York
  • Quadratic Equations
  • Security
  • Step Functions
  • Systems Analysis

Fields of Study

  • Mathematics

Readers

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