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

  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},
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

From This Paper

Figures, tables, and topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 11 references

A posteriori error estimator for harmonic A-Phi formulation

Z. Tang, Y. Le Menach, +3 authors N. Nemitz
presented at the EPNC-2012, Pula, Croatia, Jun. 2012. • 2012
View 1 Excerpt

Calculation of complementary solutions in 2d finite element method application to error estimation

F. Marmin, S. Clenet, F. Bouillault, F. Piriou
IEEE Trans. Magn., vol. 36, no. 4, pp. 1583–1587, Jul. 2000. • 2000
View 1 Excerpt

Residual Based a Posteriori Error Estimators

View 1 Excerpt

Error estimation based on a new principle of projection and reconstruction

J. F. Remacle, C. Geuzaine, P. Dular, H. Hedia, W. Legros
IEEE Trans. Magn., vol. 34, no. 5, pp. 3264–3267, Sep. 1998. • 1998
View 1 Excerpt

Towards optimal hp adaptation near singularities in finite element electromagnetics

D. Giannacopoulos, S. McFee
IEEE Trans. Magne., vol. 30, no. 5, pp. 3523–3526, Sep. 1994. • 1994
View 1 Excerpt

Complementary solutions of electrostatic field problems

J.A.H. Rikabi, C. F. Bryant, E. M. Freeman
IEEE Trans. Magn., vol. 25, no. 6, pp. 4427–4442, Dec. 1989. • 1989
View 1 Excerpt

Mixed finite elements in

J. C. Nédélec
Numerische Mathematik, vol. 35, no. 3, pp. 315–341, 1980. • 1980
View 1 Excerpt

Similar Papers

Loading similar papers…