Finite Element Differential-Algebraic Systems for Eddy Current Problems. Tsukerman, I. A. Numerical Algorithms, 31(1):319–335, December, 2002.
doi  abstract   bibtex   
Finite element discretization of some time-dependent eddy current problems yields ordinary differential–algebraic systems with large sparse matrices. Properties and stability of these systems are analyzed for two classes of eddy current problems: (i) two-dimensional coupled field-circuit problems with arbitrary external circuit connections between conductors; (ii) 2.5-dimensional problems characterized by axisymmetric geometry and non-axisymmetric excitation. Extension of the analysis to many other formulations of eddy current problems in 2D and 3D is straightforward.
@Article{         Tsukerman_2002aa,
  abstract      = {Finite element discretization of some time-dependent eddy current problems yields ordinary differential--algebraic systems with large sparse matrices. Properties and stability of these systems are analyzed for two classes of eddy current problems: (i) two-dimensional coupled field-circuit problems with arbitrary external circuit connections between conductors; (ii) 2.5-dimensional problems characterized by axisymmetric geometry and non-axisymmetric excitation. Extension of the analysis to many other formulations of eddy current problems in 2D and 3D is straightforward.},
  author        = {Tsukerman, Igor A.},
  doi           = {10.1023/A:1021112107163},
  file          = {Tsukerman_2002aa.pdf},
  journal       = {Numerical Algorithms},
  keywords      = {dae,field,circuit,coupling,numerics,index},
  langid        = {english},
  month         = dec,
  number        = {1},
  pages         = {319--335},
  title         = {Finite Element Differential-Algebraic Systems for Eddy Current Problems},
  volume        = {31},
  year          = {2002},
  shortjournal  = {Numer. Algorithm.}
}

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