Solution of Laplace's equation in a multidielectric region

1 January 1968

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE

Vol. 56 (8) , 1393-1394
https://doi.org/10.1109/proc.1968.6612

Abstract

Finite difference equations are derived for solving Laplace's equation it a mulitidielectric region. The equations have been programmed for the digital computer and provide a final output consistitg of a plot of the boundaries and equipotentials.

Keywords

LAPLACE EQUATIONS
EIGENVALUES AND EIGENFUNCTIONS
NONLINEAR EQUATIONS
POISSON EQUATIONS
ASYMPTOTIC STABILITY
LINEAR APPROXIMATION
VOLTAGE
CERAMICS
DIFFERENTIAL EQUATIONS
ENERGY STATES

This publication has 3 references indexed in Scilit:

The accuracy of numerical solutions for electron gun design
IEEE Transactions on Electron Devices, 1967
Digital computer analysis of axially symmetric electron guns
IEEE Transactions on Electron Devices, 1965
An investigation into the use of iteration methods for the analysis of axially symmetric and sheet beam electrode shapes with an emitting surface
IEEE Transactions on Electron Devices, 1964