Minimum-order regular boundary integral equations for three-dimensional eddy-current problem

Author

Homentcovschi, Dorel

Author_Institution

Inst. of Stat. Math. & Appl. Math., Romanian Acad., Bucharest, Romania

Volume

38

Issue

5

fYear

2002

fDate

9/1/2002 12:00:00 AM

Firstpage

3433

Lastpage

3438

Abstract

This paper provides regular boundary integral equations for determining the electromagnetic field for the three-dimensional eddy-current problem. The Mayergoyz approach enables us to split the problem into a magnetic problem and an electric problem, which are solved in succession. The magnetic problem leads to a set of one vector and one scalar regular integral equations (three scalar unknown functions), while the electric problem is reduced to a scalar regular integral equation (a scalar unknown function). In both cases, existence theorems for the solutions are proven

Keywords

Fredholm integral equations; boundary integral equations; eddy currents; electromagnetic field theory; Fredholm integral equations; Mayergoyz approach; electric problem; electromagnetic field; existence theorems; magnetic problem; minimum-order regular boundary integral equations; scalar regular integral equation; scalar unknown functions; three-dimensional eddy-current problem; vector regular integral equation; Conductors; Electromagnetic fields; Integral equations; Magnetic anisotropy; Magnetic domains; Magnetic flux; Magnetic materials; Mathematics; Perpendicular magnetic anisotropy; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2002.802947

Filename

1041959