A mathematical justification of the eddy current model
The aim of this chapter is to analyze in which sense the eddy current model is a proper approximation of the full Maxwell system. As explained in the previous chapter, the eddy current problem is a simplified model derived from the full system of Maxwell equations by neglecting the displacement currents, namely, the term ιωεE. Therefore it can be seen either as the low electric permittivity limit or as the low-frequency limit of the full Maxwell system. The analysis is mainly based on the E-based formulation of Maxwell equations obtained by eliminating the magnetic field.
KeywordsMaxwell Equation Displacement Current Electric Permittivity Electric Boundary Condition High Order Convergence
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