Space-Time Residual-Based a posteriori Estimator for the A-\varphi Formulation in Eddy Current Problems

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...

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Published inIEEE transactions on magnetics Vol. 51; no. 3; pp. 1 - 5
Main Authors Tittarelli, Roberta, Le Menach, Yvonnick, Creuse, Emmanuel, Nicaise, Serge, Piriou, Francis, Moreau, Olivier, Boiteau, Olivier
Format Journal Article
LanguageEnglish
Published IEEE 01.03.2015
Subjects
Approximation methods
Computational efficiency
Computing time
Conductors
Eddy currents
Errors
Estimators
Finite element method
Iron
Magnetic domains
Magnetostatics
Mathematical analysis
Mathematical models
Reliability
Three dimensional
finite element (FE) analysis
space-time a posteriori estimators
Eddy current
potential formulation
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Summary: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.
Bibliography:ObjectType-Article-1
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ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2014.2354357