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Finite Element Differential–Algebraic Systems for Eddy Current Problems

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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.

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  1. Electrical Engineering Department, The University of Akron, OH, 44325-3904, USA

    Igor Tsukerman

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  1. Igor Tsukerman
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Tsukerman, I. Finite Element Differential–Algebraic Systems for Eddy Current Problems. Numerical Algorithms 31, 319–335 (2002). https://doi.org/10.1023/A:1021112107163

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