Error estimation of finite element solution in nonlinear magnetostatic 2D problems

This paper presents an error estimator which enables control of the quality of finite element solutions in nonlinear magnetostatics. This method, based on the works of P. Ladeveze [1983, 1991] in mechanics, consists of constructing complementary admissible field from the one calculated by the finite element method. This method has been transposed in the cases of nonlinear vector and scalar potential 2D formulations. The results given by the proposed estimator are compared to the one based on two finite element solutions on two examples.