# Residual Based a Posteriori Error Estimators for Harmonic ${\bf A}/\varphi$ and ${\bf T}/\Omega$ Formulations in Eddy Current Problems

@article{Tang2013ResidualBA,
title={Residual Based a Posteriori Error Estimators for Harmonic  \$\{\bf A\}/\varphi\$ and \$\{\bf T\}/\Omega\$ Formulations in Eddy Current Problems},
author={Zuqi Tang and Yvonnick Le Menach and Emmanuel Creus{\'e} and Serge Nicaise and Francis Piriou and Nicolas Nemitz},
journal={IEEE Transactions on Magnetics},
year={2013},
volume={49},
pages={1721-1724}
}
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 <formula formulatype="inline"><tex Notation="TeX">${\bf A}/\varphi$</tex></formula> and <formula formulatype="inline"><tex Notation="TeX">${\bf T}/\Omega$</tex></formula> harmonic formulations. A device with eddy currents is studied in order to show the… CONTINUE READING

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