Calculation of complementary solutions in 2D finite element method application to error estimation

Author

Marmin, Fabienne ; Clénet, Stéphane ; Bouillault, Frédéric ; Piriou, Francis

Author_Institution

Lab. d´´Electrotechnique et d´´Electronique de Puisance, Haute Etudes Industrielles, Lille, France

Volume

36

Issue

4

fYear

2000

fDate

7/1/2000 12:00:00 AM

Firstpage

1583

Lastpage

1587

Abstract

In this communication, an approach is presented for error estimation based on the nonverification of the constitutive relationship. This method consists 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. The results given by the proposed estimator are compared to the one based on both finite element complementary potential formulations

Keywords

error analysis; finite element analysis; magnetostatics; mesh generation; trees (mathematics); 2D finite element method; adaptive mesh generation; complementary solution; constitutive relationship; error estimation; magnetostatics; scalar potential; tree technique; vector potential; Error analysis; Finite element methods; Lead; Magnetic domains; Magnetic field measurement; Magnetic fields; Magnetic flux; Magnetostatics; Maxwell equations; Mesh generation;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.877742

Filename

877742