On forward and inverse uncertainty quantification for a model for a magneto mechanical device involving a hysteresis operator

Olaf Klein

Applications of Mathematics (2023)

  • Volume: 68, Issue: 6, page 795-828
  • ISSN: 0862-7940

Abstract

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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-operator is considered here. 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).

How to cite

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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 68.6 (2023): 795-828. <http://eudml.org/doc/299375>.

@article{Klein2023,
abstract = {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-operator is considered here. 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).},
author = {Klein, Olaf},
journal = {Applications of Mathematics},
keywords = {hysteresis; uncertainty quantification (UQ); magnetostrictive material; Bayesian inverse problems (BIP)},
language = {eng},
number = {6},
pages = {795-828},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On forward and inverse uncertainty quantification for a model for a magneto mechanical device involving a hysteresis operator},
url = {http://eudml.org/doc/299375},
volume = {68},
year = {2023},
}

TY - JOUR
AU - Klein, Olaf
TI - On forward and inverse uncertainty quantification for a model for a magneto mechanical device involving a hysteresis operator
JO - Applications of Mathematics
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 6
SP - 795
EP - 828
AB - 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-operator is considered here. 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).
LA - eng
KW - hysteresis; uncertainty quantification (UQ); magnetostrictive material; Bayesian inverse problems (BIP)
UR - http://eudml.org/doc/299375
ER -

References

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