Inverse parameter-dependent Preisach operator in thermo-piezoelectricity modeling
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00504463" target="_blank" >RIV/67985840:_____/19:00504463 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3934/dcdsb.2018299" target="_blank" >http://dx.doi.org/10.3934/dcdsb.2018299</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdsb.2018299" target="_blank" >10.3934/dcdsb.2018299</a>
Alternative languages
Result language
angličtina
Original language name
Inverse parameter-dependent Preisach operator in thermo-piezoelectricity modeling
Original language description
Hysteresis is an important issue in modeling piezoelectric materials, for example, in applications to energy harvesting, where hysteresis losses may influence the efficiency of the process.The main problem in numerical simulations is the inversion of the underlying hysteresis operator.Moreover, hysteresis dissipation is accompanied with heat production, which in turn increases thetemperature of the device and may change its physical characteristics. More accurate models thereforehave to take the temperature dependence into account for a correct energy balance.We prove here that the classical Preisach operator with a fairly general parameter-dependenceadmits a Lipschitz continuous inverse in the space of right-continuous regulated functions, propose a time-discrete and memory-discrete inversion algorithm, and show that higher regularity of the inputs leads to a higher regularity of the output of the inverse.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Discrete and Continuous Dynamical Systems-Series B
ISSN
1531-3492
e-ISSN
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Volume of the periodical
24
Issue of the periodical within the volume
7
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
3051-3066
UT code for WoS article
000467248000005
EID of the result in the Scopus database
2-s2.0-85065470096