Comparison of Numerical Error Estimators for Eddy-Current Problems Solved by FEM

In the domain of field computation with the finite-element method, choosing the mesh refinement is an important step to obtain an accurate solution. In order to evaluate the quality of the mesh, a posteriori error estimators are frequently used. In this paper, we propose to analyze and to compare re...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2018-03, Vol.54 (3), p.1-4
Main Authors: Tittarelli, R., Le Menach, Y., Piriou, F., Creuse, E., Nicaise, S., Ducreux, J.-P.
Format: Article
Language:English
Subjects:
Eddy current testing
Eddy currents
Electromagnetic fields
Electromagnetism
Engineering Sciences
Error analysis
error estimation
Estimators
Finite element analysis
Finite element method
Formulations
Hafnium
Harmonic analysis
Magnetic domains
Magnetism
Mathematical analysis
Mathematics
Reliability
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Summary:In the domain of field computation with the finite-element method, choosing the mesh refinement is an important step to obtain an accurate solution. In order to evaluate the quality of the mesh, a posteriori error estimators are frequently used. In this paper, we propose to analyze and to compare residual and equilibrated error estimators for eddy-current problems in the case of A- \varphi and T- \Omega formulations. The different properties of the estimators will be discussed.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2017.2736601