Electro-Quasistatic Field Simulations Based on a Discrete Electromagnetism Formulation. Steinmetz, T., Helias, M., Wimmer, G., Fichte, L. O., & Clemens, M. IEEE Transactions on Magnetics, 42(4):755–758, IEEE, April, 2006.
doi  abstract   bibtex   
A finite-element formulation based on a discrete electromagnetism is developed to simulate electro-quasistatic fields on unstructured meshes. The presented formulation takes dielectric effects into account as well as nonlinear conductive effects. The implementation is based on discrete differential forms on an unstructured 3-D mesh. Numerical results of the simulation of a three dimensional high-voltage surge arrester consisting of linear and nonlinear materials are shown. An algebraic multigrid method is introduced as a preconditioner to nonstandard projected preconditioned conjugate-gradient linear system solver.
@Article{         Steinmetz_2006aa,
  abstract      = {A finite-element formulation based on a discrete electromagnetism is developed to simulate electro-quasistatic fields on unstructured meshes. The presented formulation takes dielectric effects into account as well as nonlinear conductive effects. The implementation is based on discrete differential forms on an unstructured 3-D mesh. Numerical results of the simulation of a three dimensional high-voltage surge arrester consisting of linear and nonlinear materials are shown. An algebraic multigrid method is introduced as a preconditioner to nonstandard projected preconditioned conjugate-gradient linear system solver.},
  author        = {Steinmetz, Thorsten and Helias, Moritz and Wimmer, Georg and Fichte, Lars Olaf and Clemens, Markus},
  doi           = {10.1109/TMAG.2006.872488},
  file          = {Steinmetz_2006aa.pdf},
  issn          = {0018-9464},
  journal       = {IEEE Transactions on Magnetics},
  keywords      = {eqs},
  langid        = {english},
  month         = apr,
  number        = {4},
  pages         = {755--758},
  publisher     = {IEEE},
  title         = {Electro-Quasistatic Field Simulations Based on a Discrete Electromagnetism Formulation},
  volume        = {42},
  year          = {2006},
  shortjournal  = {IEEE Trans. Magn.}
}
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