Error estimator in linear magnetostatic 2D*
Marmin, F.; Clénet, S.; Bussy, P.; Piriou, F.; Marmin F.; Laboratoire d'Électotechnique et d'Électronique de Puissance de Lille, L2EP, EP CNRS 0121, USTL, 59655 Villeneuve d'Ascq Cedex, France; Clénet S.; Laboratoire d'Électotechnique et d'Électronique de Puissance de Lille, L2EP, EP CNRS 0121, USTL, 59655 Villeneuve d'Ascq Cedex, France; Bussy P.; Laboratoire de Mécanique et CAO, UPJV, IUT, 48, rue Henri D'Ostend, 02100 St Quentin, France; Piriou F.; Laboratoire d'Électotechnique et d'Électronique de Puissance de Lille, L2EP, EP CNRS 0121, USTL, 59655 Villeneuve d'Ascq Cedex, France
Журнал:
The European Physical Journal Applied Physics
Дата:
1998
Аннотация:
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.
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