F. Marmin et al., Calculation of complementary solutions in 2D finite element method application to error estimation, IEEE MAGNET, 36(4), 2000, pp. 1583-1587
In this communication, an approach is presented for error estimation based
on the nonverification of the constitutive relationship. This method consis
ts in constructing a complementary admissible field from the one calculated
by finite element method, It is based on a tree technique. This method has
been applied in the cases of vector and scalar potential 2D formulations,
To show its effectiveness, two magnetostatic examples have been studied. Th
e results given by the proposed estimator are compared to the one based on
both finite element complementary potential formulations.