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An energy-based error criterion for transient electrodynamical applications

Abstract : A quadratic energy-based error criterion is derived from a thermodynamic description of electromagnetism. Attention is first paid on the analytical derivation of the criterion in a general sense, i.e. without any assumption about the potential formulation and including possible body motion. Some validations are given on actuator and induction heating process within the FEM: The conservation of the electromagnetic power is assessed locally and, as expected, the ill-checked elements in the skin depth are highlighted.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01322703
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Submitted on : Friday, May 27, 2016 - 3:08:05 PM
Last modification on : Thursday, September 24, 2020 - 5:22:34 PM

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  • HAL Id : hal-01322703, version 1

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Nadia Maïzi, Loïc Rondot, Vincent Mazauric. An energy-based error criterion for transient electrodynamical applications. 7th International Congress on Industrial and Applied Mathematics , 2011, Vancouver, Canada. ⟨hal-01322703⟩

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