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Error estimator in linear magnetostatic 2D*

Published online by Cambridge University Press:  15 February 1998

F. Marmin ,
S. Clénet ,
P. Bussy  and
F. Piriou
F. Marmin
Affiliation:
Laboratoire d'Électotechnique et d'Électronique de Puissance de Lille, L2EP, EP CNRS 0121, USTL, 59655 Villeneuve d'Ascq Cedex, France
S. Clénet
Affiliation:
Laboratoire d'Électotechnique et d'Électronique de Puissance de Lille, L2EP, EP CNRS 0121, USTL, 59655 Villeneuve d'Ascq Cedex, France
P. Bussy
Affiliation:
Laboratoire de Mécanique et CAO, UPJV, IUT, 48, rue Henri D'Ostend, 02100 St Quentin, France
F. Piriou*
Affiliation:
Laboratoire d'Électotechnique et d'Électronique de Puissance de Lille, L2EP, EP CNRS 0121, USTL, 59655 Villeneuve d'Ascq Cedex, France
*
francis.piriou@univ-lille1.fr
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Abstract

In this paper, an error estimator is used to control the quality of finite element solution in linear magnetostatic. This method, based on the works of P. Ladevèze, consists in constructing a complementary admissible field from the one calculated by the finite element method. The quality of finite element solution is measured by comparing the couple of admissible solutions. This method has been developed in 2D in the case of scalar and vector potential formulations. To show the effectiveness of this error estimator, we present three simple examples, one of them having a known exact solution.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 1 , Issue 2 , February 1998 , pp. 203 - 209
Copyright
© EDP Sciences, 1998

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Footnotes

*

This paper was presented at NUMELEC'97.

References

* This paper was presented at NUMELEC'97.