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

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...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2015-03, Vol.51 (3), p.1-4
Main Authors: Zuqi Tang, Le Menach, Yvonnick, Creuse, Emmanuel, Nicaise, Serge, Piriou, Francis
Format: Article
Language:English
Subjects:
Boundary conditions
Computation
Conductors
Current density
Discretization
Eddy currents
Electric potential
Errors
Estimators
Finite element method
Harmonic analysis
Harmonics
Magnetic domains
Magnetism
Mathematical analysis
Mathematical models
Mathematics
Numerical Analysis
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Summary: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.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2014.2359770