Residual Based a Posteriori Error Estimators for Harmonic /\varphi and /\Omega Formulations in Eddy Current Problems

Residual Based a Posteriori Error Estimators for Harmonic /\varphi and /\Omega Formulations in Eddy Current Problems

For eddy current problems, potential formulations are widely used nowadays. In this paper, residual based a posteriori error estimators are introduced to evaluate the discretization error in the finite element calculation in both case of A /φ and T /Ω harmonic formulations. A device with eddy curren...

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Bibliographic Details
Published in:IEEE transactions on magnetics Vol. 49; no. 5; pp. 1721 - 1724
Main Authors: Zuqi Tang, Le Menach, Y., Creuse, E., Nicaise, S., Piriou, F., Nemitz, N.
Format: Journal Article
Language:English
Published: IEEE 01-05-2013
Subjects:
A posteriori estimator
Conductors
eddy current problem
Eddy currents
Electric potential
Finite element analysis
finite element method
Harmonic analysis
Magnetic domains
potential formulation
Reliability
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Description
Summary:For eddy current problems, potential formulations are widely used nowadays. In this paper, residual based a posteriori error estimators are introduced to evaluate the discretization error in the finite element calculation in both case of A /φ and T /Ω harmonic formulations. A device with eddy currents is studied in order to show the efficiency of the proposed estimators.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2013.2241408