Kronecker product approximation of demagnetizing tensors for micromagnetics

@article{Goncharov2010KroneckerPA,
  title={Kronecker product approximation of demagnetizing tensors for micromagnetics},
  author={A. V. Goncharov and Gino Hrkac and J. S. Dean and T. Schrefl},
  journal={J. Comput. Physics},
  year={2010},
  volume={229},
  pages={2544-2549}
}
A comparison study of the asymptotic behavior between different compression techniques is reported. We show that by applying the Kronecker product approximation, the storage of a three-dimensional demagnetizing tensor with N^6 entries can be reduced to O(N^2), showing a superlinear compression behavior. When magnetization and magnetostatic field vectors are stored in compressed forms, a superlinear speedup of a field evaluation is gained. 
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