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Published in:
2015 | OriginalPaper | Chapter
Numerical Simulation of Potential Maxwell’s Equations in the Harmonic Regime
Authors : María Teresa González Montesinos, Francisco Ortegón Gallego
Published in: Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science
Publisher: Springer International Publishing
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Abstract
The aim of this work is to perform some numerical experiments for the resolution of a strongly coupled parabolic–elliptic system that describes the heating induction–conduction industrial process of a steel workpiece, whose unknowns are the electric potential, the magnetic vector potential, and the temperature. In order to make the numerical simulations lighter, and taking into account the different time scales between the potentials and the temperature, a new system of nonlinear partial differential equations (PDEs) has been constructed that describes the heating process in the harmonic regime.