Effect of gauge fixing term in three dimensional stationary magnetic fields problem

Author

Hemmi, Shigeru ; FUjimoto, Kenji ; Rikukawa, Hirosh

Author_Institution

Century Res. Center Corp., Tokyo, Japan

Volume

26

Issue

2

fYear

1990

fDate

3/1/1990 12:00:00 AM

Firstpage

731

Lastpage

734

Abstract

Gauge fixing in 3-D stationary linear magnetic fields in a finite volume is achieved under some particular assumptions. Divergence of inner region A satisfies the Laplace equation by using a conventional gauge-fixing term to the gauge-invariant Lagrangian. Taking into account the assumed zero boundary condition for divA on the natural boundary condition surface, it is found that divA vanishes all over the region theoretically. Uniqueness of the solution is proved in another particular case. A numerical analysis is presented and the optimal value of the gauge-fixing parameter α is examined

Keywords

finite element analysis; magnetic fields; numerical methods; 3D stationary linear magnetic fields; Laplace equation; electromagnetism; finite element analysis; gauge fixing term effect; gauge-fixing parameter; gauge-invariant Lagrangian; natural boundary condition surface; numerical analysis; three dimensional stationary magnetic fields; zero boundary condition; Boundary conditions; Cities and towns; Electromagnetics; Lagrangian functions; Laplace equations; Magnetic analysis; Magnetic fields; Numerical analysis; Permeability; Stress;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.106422

Filename

106422