Adaptive Isogeometric Analysis Applied to an Electromagnetic Actuator. Friedrich, L. A. J.; Gysen, B. L. J.; Roes, M. G. L.; and Lomonova, E. A. IEEE Transactions on Magnetics, IEEE, 2019.
doi  abstract   bibtex   
In this paper, a magnetostatic solver for linear and nonlinear soft-magnetic material characteristics, a time-harmonic eddy current solver, and the corresponding function-based error estimates are implemented in an established adaptive isogeometric analysis framework. The simplified truncated hierarchical B-spline basis functions are investigated on the multipatch geometry of a magnetic circuit, as they offer several beneficial properties, including a drastic reduction of the number of degrees of freedom compared to the references under uniform refinement. Global error estimate and global parameters convergence are illustrated for different refinement strategies and polynomial orders. Finally, the computational effort is analyzed.
@Article{         Friedrich_2019aa,
  abstract      = {In this paper, a magnetostatic solver for linear and nonlinear soft-magnetic material characteristics, a time-harmonic eddy current solver, and the corresponding function-based error estimates are implemented in an established adaptive isogeometric analysis framework. The simplified truncated hierarchical B-spline basis functions are investigated on the multipatch geometry of a magnetic circuit, as they offer several beneficial properties, including a drastic reduction of the number of degrees of freedom compared to the references under uniform refinement. Global error estimate and global parameters convergence are illustrated for different refinement strategies and polynomial orders. Finally, the computational effort is analyzed.},
  author        = {Friedrich, Léo A. J. and Gysen, Bart L. J. and Roes, Maurice G. L. and Lomonova, Elena A.},
  doi           = {10.1109/TMAG.2019.2900529},
  file          = {Friedrich_2019aa.pdf},
  issn          = {0018-9464},
  journal       = {IEEE Transactions on Magnetics},
  keywords      = {splines,iga},
  langid        = {english},
  pages         = {1--4},
  publisher     = {IEEE},
  pubstate      = {Accepted},
  title         = {Adaptive Isogeometric Analysis Applied to an Electromagnetic Actuator},
  year          = {2019},
  shortjournal  = {IEEE Trans. Magn.}
}
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