Further aspects of the Kelvin transformation method for dealing with open boundaries

Author

Lowther, D.A. ; Freeman, E.M.

Author_Institution

Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada

Volume

28

Issue

2

fYear

1992

fDate

3/1/1992 12:00:00 AM

Firstpage

1667

Lastpage

1670

Abstract

The authors previously described a technique for allowing for open boundaries in finite element problems (1988, 1989). In the present work the ideas are extended to accommodate materials and sources in the outer region. The important point is made that for Cartesian geometries the transformed region can be of any reasonable size and it can be placed in any convenient position. It is shown that regions having uniform fields can easily be produced by placing the appropriate Dirichlet boundary at a significant distance in the outer region. The transformation of an outer region containing a semi-infinite highly permeable block is demonstrated

Keywords

boundary-value problems; electromagnetic fields; finite element analysis; Cartesian geometries; Dirichlet boundary; Kelvin transformation method; finite element problems; open boundaries; outer region; semi-infinite highly permeable block; uniform fields; Councils; Equivalent circuits; Finite element methods; Geometry; Impedance measurement; Kelvin; Magnetic materials;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.124022

Filename

124022