An approach to adaptive mesh refinement for three-dimensional eddy-current computations

Author

Li, Chengjun ; Ren, Zhuoxiang ; Razek, Adel

Author_Institution

Ecole Superieure d´´Electr., Gif-sur-Yvette, France

Volume

30

Issue

1

fYear

1994

fDate

1/1/1994 12:00:00 AM

Firstpage

113

Lastpage

117

Abstract

Two kinds of error estimators are proposed for adaptive mesh refinement for 3D eddy-current problems. One is based on the principle of Ligurian and the other is based on the numerical discontinuity of the field results. The Ligurian estimators have been established from the complex vector field quantities and can be electric or magnetic. The duality between H and E formulations is reflected in the estimators based on the discontinuity of the field results. An edge-division technique and a `local Laplace´ algorithm have been used in the mesh refinement implementation. A comparison between the different error estimators has been given through numerical examples

Keywords

duality (mathematics); eddy currents; error analysis; mesh generation; FEM; Ligurian estimators; adaptive mesh refinement; complex vector field; duality; eddy current distribution; edge-division technique; error estimators; local Laplace algorithm; numerical discontinuity; three-dimensional eddy-current computations; Adaptive mesh refinement; Conductors; Cost function; Error analysis; Finite element methods; Magnetic domains; Magnetostatics; Mesh generation; Smoothing methods; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.272523

Filename

272523