The Capacitance of Discs of Arbitrary Shape.

Abstract

A method of moments procedure is presented for solving the integral equation satisfied by the electrostatic charge distribution over arbitrary planar domains. This procedure is based on a representation of such domains as a collection of quadrilateral subdomains, using the Gordon-Hall and Zienkiewicz-Phillips subdivision techniques. All integrals are effectively evaluated over triangles, and rely on an expression which is derived for the potential at a point due to a constant charge distribution over a triangular domain. As an illustration, the computational procedure is applied to a variety of discs. The computed results are in excellent agreement with the exact values for the circle and the ellipse, and are compared with known numerical values for certain other configurations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1979
Accession Number
ADA067758

Entities

People

  • Ephraim E. Okon
  • Roger F. Harrington

Organizations

  • Syracuse University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Automatic
  • Blending
  • Boundaries
  • Charge Density
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Electromagnetic Fields
  • Equations
  • Finite Element Analysis
  • Integral Equations
  • Method Of Moments
  • New York
  • Shape
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics.