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Current and voltage excitations for the eddy current model. (English) Zbl 1099.78021

This paper deals with the study of various weak variational formulations of the magnetoquasistatic eddy current model. The authors distinguish different distinct situations, related to voltage or current excitation, and local or non-local excitation. The main purpose of the present paper is to develop a systematic treatment of all these cases leading to stable variational formulations that can serve as the basis for finite element discretization schemes.

MSC:

78M30 Variational methods applied to problems in optics and electromagnetic theory
78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
49Q15 Geometric measure and integration theory, integral and normal currents in optimization
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References:

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