Computation of 3-D magnetostatic fields using a reduced scalar potential. Bíró, O., Preis, K., Vrisk, G., Richter, K. R., & Ticar, I. IEEE Transactions on Magnetics, 29(2):1329–1332, IEEE, March, 1993.
doi  abstract   bibtex   
Some improvements to the finite element computation of static magnetic fields in three dimensions using a reduced magnetic scalar potential are presented. Methods are described for obtaining an edge element representation of the rotational part of the magnetic field from a given source current distribution. When the current distribution is not known in advance, a boundary value problem is set up in terms of a current vector potential. An edge element representation of the solution can be directly used in the subsequent magnetostatic calculation. The magnetic field in a DC arc furnace is calculated by first determining the current distribution in terms of a current vector potential. A 3-D problem involving a permanent magnet as well as a coil is solved, and the magnetic field in some points is compared with measurement results
@Article{         Biro_1993ab,
  abstract      = {Some improvements to the finite element computation of static magnetic fields in three dimensions using a reduced magnetic scalar potential are presented. Methods are described for obtaining an edge element representation of the rotational part of the magnetic field from a given source current distribution. When the current distribution is not known in advance, a boundary value problem is set up in terms of a current vector potential. An edge element representation of the solution can be directly used in the subsequent magnetostatic calculation. The magnetic field in a DC arc furnace is calculated by first determining the current distribution in terms of a current vector potential. A 3-D problem involving a permanent magnet as well as a coil is solved, and the magnetic field in some points is compared with measurement results},
  author        = {Bíró, Oszkár and Preis, Kurt and Vrisk, G. and Richter, Kurt R. and Ticar, I.},
  doi           = {10.1109/20.250643},
  file          = {Biro_1993ab.pdf},
  issn          = {0018-9464},
  journal       = {IEEE Transactions on Magnetics},
  keywords      = {field,physics},
  langid        = {english},
  month         = mar,
  number        = {2},
  pages         = {1329--1332},
  publisher     = {IEEE},
  title         = {Computation of {3-D} magnetostatic fields using a reduced scalar potential},
  volume        = {29},
  year          = {1993},
  shortjournal  = {IEEE Trans. Magn.}
}

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