Geodesic
On forward and inverse uncertainty quantification for a model for a magneto mechanical device involving a hysteresis operator
Applications of Mathematics, Tome 68 (2023) no. 6, pp. 795-828.

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Modeling real world objects and processes one may have to deal with hysteresis effects but also with uncertainties. Following D. Davino, P. Krejčí, and C. Visone (2013), a model for a magnetostrictive material involving a generalized Prandtl-Ishlinski\u ı-operator is considered here. \endgraf Using results of measurements, some parameters in the model are determined and inverse Uncertainty Quantification (UQ) is used to determine random densities to describe the remaining parameters and their uncertainties. Afterwards, the results are used to perform forward UQ and to compare the generated outputs with measured data. This extends some of the results from O. Klein, D. Davino, and C. Visone (2020).
DOI : 10.21136/AM.2023.0080-23
Classification : 47J40, 60H30
Keywords: hysteresis; uncertainty quantification (UQ); magnetostrictive material; Bayesian inverse problems (BIP) 
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Klein, Olaf. On forward and inverse uncertainty quantification for a model for a magneto mechanical device involving a hysteresis operator. Applications of Mathematics, Tome 68 (2023) no. 6, pp. 795-828. doi : 10.21136/AM.2023.0080-23. http://geodesic.mathdoc.fr/articles/10.21136/AM.2023.0080-23/

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