High order transmission conditions for thin conductive sheets in magneto-quasistatics (Q2839150)

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scientific article; zbMATH DE number 6184122
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High order transmission conditions for thin conductive sheets in magneto-quasistatics
scientific article; zbMATH DE number 6184122

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    High order transmission conditions for thin conductive sheets in magneto-quasistatics (English)
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    4 July 2013
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    asymptotic expansions
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    transmission condition
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    thin conducting sheets
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    In the present paper there are introduced approximate transmission conditions for the eddy current problem in 2D with thin conducting sheets. In such a way the authors derive three approximate models of order 1, 2 and 3 to take into account the far field behaviour of thin and highly conducting sheets. A basic result in this paper establishes a stronger modelling error estimate. Related regularity properties are also established, as well as numerical validations of the approximate models.
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