Hybrid FEM-BIM formulation using electric and magnetic variables

Author

Ren, Z. ; Li, C. ; Razek, A.

Author_Institution

Lab. de Genie Electr. de Paris, Ecole Superieure d´´Electricite, Gif-sur-Yvette, France

Volume

28

Issue

2

fYear

1992

fDate

3/1/1992 12:00:00 AM

Firstpage

1647

Lastpage

1650

Abstract

A hybrid finite-element-boundary-integral method using a mixed electric-magnetic formulation for 3-D eddy current computation is presented. The finite element formulation using tetrahedral edge elements in terms of electric field is employed in the conducting region. The boundary integral method in terms of magnetic field is used in the air space. The use of a vector variable in the air space together with a boundary spanning tree technique makes it possible to solve multiply connected problems and leads to a diminution of boundary unknowns. The electric and the magnetic variables are coupled on the boundary of the domain through the boundary continuity of electric and magnetic fields; the coupling matrices thus obtained are the transposes of one another. Results concerning this mixed coupling method and comparison with the other hybrid methods are reported

Keywords

eddy currents; electric fields; finite element analysis; 3D eddy current computation; air space; boundary continuity; boundary spanning tree technique; conducting region; electric field; hybrid finite-element-boundary-integral method; mixed coupling method; mixed electric-magnetic formulation; multiply connected problems; tetrahedral edge elements; vector variable; Couplings; Eddy currents; Electric variables; Finite element methods; Integral equations; Lead; Magnetic domains; Magnetic fields; Testing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.124017

Filename

124017