On the Effects of Grid Ill-conditioning in Three Dimensional Finite Element Vector Potential Magnetostatic Field Computations

Document Type

Article

Language

eng

Publication Date

9-1990

Publisher

Institute of Electrical and Electronic Engineers (IEEE)

Source Publication

IEEE Transactions on Magnetics

Source ISSN

0018-9464

Abstract

The effects of finite-element grid geometries and associated ill conditioning were studied in single-medium and multimedia (air-iron) three-dimensional magnetostatic-field computation problems. The sensitivities of these 3-D field computations to finite-element grid geometries were investigated. It was found that in single-medium applications the unconstrained magnetic vector potential curl-curl formulation in conjunction with first-order finite elements produces global results which are almost totally insensitive to grid geometries. However, it was found that in multimedia (air-iron) applications first-order finite-element results are sensitive to grid geometries and consequent elemental shape ill conditioning. These sensitivities were almost totally eliminated by the use of second-order finite elements in the field-computation algorithms. Practical examples are given to demonstrate these findings.

Comments

IEEE Transactions on Magnetics, Vol. 26, No. 5 (September 1990: 1950-1957. DOI.

N.A. Demerdash was affiliated with Clarkson University at the time of publication.

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