Residual a Posteriori Estimator for Magnetoharmonic Potential Formulations With Global Quantities for the Source Terms

Author

Zuqi Tang ; Le Menach, Yvonnick ; Creuse, Emmanuel ; Nicaise, Serge ; Piriou, Francis

Author_Institution

Inst. Nat. de Rech. en Inf. et en Autom. Paris-Rocquencourt, Le Chesnay, France

Volume

51

Issue

3

fYear

2015

fDate

Mar-15

Firstpage

1

Lastpage

4

Abstract

In the modeling of eddy current problems, potential formulations are widely used in recent days. In this paper, the results of residual-based a posteriori error estimators, which evaluate the discretization error in the finite-element computation, are extended to the case of several kinds of source terms for both A/φ and T/Ω harmonic formulations. The definitions of the estimators are given and some numerical examples are provided to show the behavior of the estimators.

Keywords

eddy currents; finite element analysis; discretization error; eddy current problems; finite element computation; magnetoharmonic potential formulation; residual a posteriori estimator; Boundary conditions; Conductors; Current density; Eddy currents; Electric potential; Harmonic analysis; Magnetic domains; A posterior error estimator; eddy current problem; potential formulation; source terms;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2014.2359770

Filename

7093582