A VECTOR FORM OF COMPENSATION THEOREM AND ITS APPLICATION TO BOUNDARY-VALUE PROBLEMS

Abstract

The compensation theorem is extended to a vector form. The use of the vector fo m would enable one to obtain the expression for the incremental changes in the electric and magnetic vectors in space due to a given source, under the condition of changes in the electrical characteristics in a portion the medium surrounding the source. It is worthwhile to point out the need for deriving a vector form of the theorem. The present method nables one, in a first case, to formulate the boundary value problem in terms of Fredholm's integral equation. There is therefore a possibility of obtaining approximate solutions of this equation by using iterative or other systematic schemes. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 15, 1961
Accession Number
AD0269016

Entities

People

  • R. Mittra

Organizations

  • University of Colorado Boulder

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Compensation
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Space
  • Space - Hall-Effect Thruster