Calculation of Moment Matrix Elements for Bilinear Quadrilaterals and Higher-Order Basis Functions

Abstract

We present a new method for computing the impedance matrix (IM) elements in the method of moments for geometries described by bilinear quadrilaterals (BQ) and for higher-order basis functions. Our method is restricted to the Electric Field Integral Equation and focuses on the self-elements of the IM and elements for which the observation point is near the integration BQ. The method is based on the simple idea of analyti-cal integration along one of the BQs parameters and numerical integration along the remaining one. For the singular (or nearly so) part of the integral, we show through analysis and examples that our method can provide precision to 15 significant digits.

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Document Details

Document Type
Technical Report
Publication Date
Jan 06, 2016
Accession Number
AD1001926

Entities

People

  • John S. Asvestas

Organizations

  • Naval Air Warfare Center Aircraft Division

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Aerial Warfare
  • Aircrafts
  • Cartesian Coordinates
  • Electric Fields
  • Equations
  • Geometry
  • Impedance
  • Integral Equations
  • Integrals
  • Mathematics
  • Method Of Moments
  • Numerical Integration
  • Observation
  • Precision
  • Triangles

Readers

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