Transient field-circuit coupled formulation based on the finite integration technique and a mixed circuit formulation. Benderskaya, G., De Gersem, H., Weiland, T., & Clemens, M. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 23(4):968–976, 2004.
doi  abstract   bibtex   
The coupling between a 3D modified magnetic vector potential formulation discretized by the finite integration technique and an electrical circuit that includes solid and stranded conductors is presented. This paper describes classical time-integration methods and the implicit Runge-Kutta methods, the latter being an appropriate alternative to the first ones to solve effectively index 1 differential-algebraic equations arising from combined simulation of electromagnetic fields and electrical circuits.
@Article{         Benderskaya_2004aa,
  abstract      = {The coupling between a 3D modified magnetic vector potential formulation discretized by the finite integration technique and an electrical circuit that includes solid and stranded conductors is presented. This paper describes classical time-integration methods and the implicit Runge-Kutta methods, the latter being an appropriate alternative to the first ones to solve effectively index 1 differential-algebraic equations arising from combined simulation of electromagnetic fields and electrical circuits.},
  author        = {Benderskaya, Galina and De Gersem, Herbert and Weiland, Thomas and Clemens, Markus},
  doi           = {10.1108/03321640410553391},
  file          = {Benderskaya_2004aa.pdf},
  group         = {casper},
  issn          = {0332-1649},
  journal       = {COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering},
  keywords      = {coupling,field,circuit,fit,physics},
  langid        = {english},
  number        = {4},
  pages         = {968--976},
  title         = {Transient field-circuit coupled formulation based on the finite integration technique and a mixed circuit formulation},
  volume        = {23},
  year          = {2004},
  shortjournal  = {COMPEL}
}

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