Title :
Error estimation of finite element solution in nonlinear magnetostatic 2D problems
Author :
Marmin, F. ; Clénet, S. ; Piriou, F. ; Bussy, P.
Author_Institution :
Lab. d´´Electrotech. et d´´Electron. de Puissance de Lille, CNRS, Villeneuve d´´Ascq, France
fDate :
9/1/1998 12:00:00 AM
Abstract :
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
Keywords :
error analysis; finite element analysis; magnetostatics; complementary admissible field; error estimation; finite element solution; nonlinear magnetostatic 2D problems; nonlinear vector formulations; scalar potential 2D formulations; Error analysis; Error correction; Finite element methods; Magnetic analysis; Magnetic domains; Magnetic flux; Magnetostatics; Maxwell equations; Testing; Vectors;
Journal_Title :
Magnetics, IEEE Transactions on
