A new method for axisymmetrical linear and nonlinear problems

Author

Henrotte, F. ; Hedia, H. ; Bamps, N. ; Genon, A. ; Nicolet, A. ; Legros, W.

Author_Institution

Dept. of Electr. Eng., Liege Univ., Belgium

Volume

29

Issue

2

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

1352

Lastpage

1355

Abstract

The problem of unacceptable inaccuracies sometimes observed in the fields computed with the classical axisymmetrical model (i.e., first-order finite elements with auxiliary potential V=A /r) is solved. Two methods are proposed to improve the accuracy of the results: isoparametrical second-order elements and first-order elements with a suitable coordinate transformation. The second method, using first-order elements, gives the exact solution for piecewise linear materials; it has also been generalized for nonlinear systems by defining a quadrilateral axis-dedicated element

Keywords

electromagnetic induction; finite element analysis; magnetic fields; accuracy; axisymmetrical linear problems; coordinate transformation; first-order finite elements; induction; isoparametrical second-order elements; magnetic fields; nonlinear problems; piecewise linear materials; quadrilateral axis-dedicated element; Ambient intelligence; Current density; Finite element methods; Geometry; Linear systems; Nonlinear equations; Nonlinear systems; Petroleum; Shape; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.250649

Filename

250649