-norm for mesh optimization with application to electro-thermal modeling of an electric wire in automotive context
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An analytical dynamic model of the longitudinal temperature of an electric wire involving a special implicit transfer function with an exponential is presented.

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A meshed model (spatial discretization) is proposed to obtain an accurate integer order approximation of this kind of transfer function.

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The spatial discretization is optimized through a criterion based on the H2-norm of the error transfer function between the analytical model and its meshed approximation.

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Accuracy of the meshed model is evaluated with measured data from dedicated benchmark and compared to other models obtained from classical frequency identifications.

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