Inverse parameter-dependent Preisach operator in thermo-piezoelectricity modeling

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Inverse parameter-dependent Preisach operator in thermo-piezoelectricity modeling

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Inverse parameter-dependent Preisach operator in thermo-piezoelectricity modeling

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Discrete and Continuous Dynamical Systems-Series B

ISSN

1531-3492

e-ISSN

—

Svazek periodika

24

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

16

Strana od-do

3051-3066

Kód UT WoS článku

000467248000005

EID výsledku v databázi Scopus

2-s2.0-85065470096