Symbolic generation of finite elements for skin-effect integral equations

Author

Silvester, Peter P. ; Chamlian, Simon V.

Author_Institution

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

Volume

30

Issue

5

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

3594

Lastpage

3597

Abstract

Skin effect at high frequencies and electrostatics of good conductors can be formulated as an integal equation, whose solution by finite elements requires evaluation of integrals with Green´s function kernels. The singular element integrals are computed analytically by a program in the Maple language, after recasting the integrals by coordinate transformations that render all singularities one-dimensional. Tables of singular integrals are given for elements up to order 4

Keywords

Green´s function methods; conductors (electric); electrostatics; finite element analysis; integral equations; skin effect; symbol manipulation; Green function kernels; Maple language; computer program; conductors; coordinate transformations; electrostatics; finite elements; high frequencies; integral equations; one-dimensional singularities; singular element integrals; skin-effect; symbolic generation; Conductors; Current density; Electrostatics; Finite element methods; Frequency; Green´s function methods; Integral equations; Polynomials; Skin effect; Strips;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.312716

Filename

312716