DocumentCode :
42294
Title :
Space-Time Residual-Based a posteriori Estimator for the 
Formulation in Eddy Current Problems
Author :
Tittarelli, Roberta ; Le Menach, Yvonnick ; Creuse, Emmanuel ; Nicaise, Serge ; Piriou, Francis ; Moreau, Olivier ; Boiteau, Olivier
Author_Institution :
Lab. d´Electrotech. et d´Electron., Univ. Lille 1, Villeneuve d´Ascq, France
Volume :
51
Issue :
3
fYear :
2015
fDate :
Mar-15
Firstpage :
1
Lastpage :
5
Abstract :
In this paper, an a posteriori residual error estimator is presented for the 3-D eddy current problem modeled by the space-time A - φ potential formulation. It is solved by the finite element method in space and the backward Euler scheme in time. Once the reliability as well as the efficiency of the estimator is established, two numerical tests are proposed: 1) an analytical one to validate the theoretical results and 2) a physical one to illustrate the performance for a real eddy current problem.
Keywords :
eddy currents; finite element analysis; 3D eddy current problem; backward Euler scheme; finite element method; numerical tests; space-time A-φ potential formulation; space-time residual-based a posteriori estimator; Approximation methods; Conductors; Eddy currents; Iron; Magnetic domains; Magnetostatics; Reliability; Eddy current; finite element (FE) analysis; potential formulation; space-time a posteriori estimators;
fLanguage :
English
Journal_Title :
Magnetics, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9464
Type :
jour
DOI :
10.1109/TMAG.2014.2354357
Filename :
7093588
Link To Document :
