A Comparative Study of Expansion Functions Using the Boundary Residual Method on a Linear Dipole - Part I: Entire-Domain Functions

Abstract

The Boundary Residual Method, which is a specialization of the Least Squares Method, is described. A significant benefit of the approach is that error in the residual satisfaction of the boundary condition is explicitly reported. Use of error values facilitates better monitoring of solution convergence as expansion functions are added to the underlying model. Furthermore, better discrimination between competing models is possible when errors are known. These concepts are explored and applied to dipoles of various lengths with key findings reported.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2002
Accession Number
ADP012059

Entities

People

  • Malcolm M. Bibby

Organizations

  • Carleton University

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Chebyshev Polynomials
  • Computational Science
  • Convergence
  • Digital Computers
  • Equations
  • Errors
  • Excitation
  • Fourier Series
  • Generators
  • Plane Waves
  • Polynomials
  • Precision
  • Residuals

Readers

  • Approximation Theory.
  • Computational Modeling and Simulation
  • Organizational Psychology.