A survey of numerical methods for transient eddy current problems

Author

Tsukerman, I.A. ; Konrad, A. ; Bedrosian, G. ; Chari, M.V.K.

Author_Institution

Dept. of Electr. Eng., Toronto Univ., Ont., Canada

Volume

29

Issue

2

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

1711

Lastpage

1716

Abstract

The efficiencies of different time-stepping schemes and associated algebraic system solvers for transient eddy current computations are assessed. For 2-D problems, the direct methods nested dissection (ND) and quotient minimum degree (QMD) are shown to be preferable to the incomplete Cholesky conjugate-gradient (ICCG) method, provided enough memory is available. The multilevel preconditions (MP) method is highly efficient for magnetically homogeneous problems both in 2-D and 3-D. The efficiency of multilevel methods for inhomogeneous problems, although proven theoretically, needs further practical investigation

Keywords

Maxwell equations; conjugate gradient methods; eddy currents; electromagnetic field theory; finite element analysis; integro-differential equations; reviews; 2D configuration; 3D problem; FEM; ICCG; QMD; algebraic system solvers; direct methods nested dissection; finite element method; incomplete Cholesky conjugate gradient method; integrodifferential equation; magnetically homogeneous problems; multilevel preconditions method; numerical methods; quotient minimum degree; reviews; time-stepping schemes; transient eddy current computations; Character generation; EMP radiation effects; Eddy currents; Finite element methods; Gradient methods; Linear matrix inequalities; Magnetic domains; Neodymium; Symmetric matrices; Testing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.250735

Filename

250735