Solution of static electric and magnetic problems using the integral definitions of the curl and divergence operators

Author

Hagmann, Mark J.

Author_Institution

Dept. of Electr. and Eng., Florida Int. Univ., Miami, FL, USA

Volume

32

Issue

1

fYear

1989

fDate

2/1/1989 12:00:00 AM

Firstpage

25

Lastpage

28

Abstract

Numerical methods are described which use a basis consisting of the values of the electric field intensity along each edge of a cell and the values of the magnetic flux density normal to each face of a cell. Definitions of the curl and divergence operators in terms of line and surface integrals respectively, as well as Gauss´ law and Ampere´s law, are used to define mesh and nodal equations for determining the field values within the grid from values specified on the outer boundary. Static electric and magnetic problems are solved as examples

Keywords

boundary-value problems; electric fields; electromagnetic field theory; integral equations; magnetic fields; numerical methods; Ampere´s law; EM field theory; Gauss´ law; boundary-value problems; curl; divergence; electric field intensity; integrals; magnetic flux density; mesh equations; nodal equations; numerical methods; Circuits; Electromagnetics; Gaussian processes; Integral equations; Magnetic analysis; Magnetic fields; Magnetic flux; Magnetic flux density; Maxwell equations; Shape;

fLanguage

English

Journal_Title

Education, IEEE Transactions on

Publisher

ieee

ISSN

0018-9359

Type

jour

DOI

10.1109/13.21158

Filename

21158