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