Efficient inverse solvers for thermal tomography

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F21%3A00355070" target="_blank" >RIV/68407700:21110/21:00355070 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.camwa.2021.06.005" target="_blank" >https://doi.org/10.1016/j.camwa.2021.06.005</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.camwa.2021.06.005" target="_blank" >10.1016/j.camwa.2021.06.005</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Efficient inverse solvers for thermal tomography

Popis výsledku v původním jazyce

Thermal tomography is a method for recovering heterogeneous thermal properties employing only boundary measurements. This paper focuses on the development of efficient inverse solvers for scenarios where the evolution of boundary conditions can vary in time. A transient heat model with two material parameters – volumetric capacity and a coefficient of thermal conductivity – is introduced for the description of the underlying physical phenomena. All proposed identification algorithms are deterministic methods based on a regularised Gauss-Newton method. A basic framework, implementation details, and the modification of general constraints initially derived for a standard setup of the Calderón problem are discussed here. Moreover, the algorithms are numerically verified for numerous examples, and results obtained show that the inverse problem exhibits a certain degree of ambiguity for a particular measurement-loading scenario. In other words, the important material property minimising the magnitude of error of the objective function seems to be the effusivity field rather than accurate identification of the individual thermal fields.

Název v anglickém jazyce

Efficient inverse solvers for thermal tomography

Popis výsledku anglicky

Thermal tomography is a method for recovering heterogeneous thermal properties employing only boundary measurements. This paper focuses on the development of efficient inverse solvers for scenarios where the evolution of boundary conditions can vary in time. A transient heat model with two material parameters – volumetric capacity and a coefficient of thermal conductivity – is introduced for the description of the underlying physical phenomena. All proposed identification algorithms are deterministic methods based on a regularised Gauss-Newton method. A basic framework, implementation details, and the modification of general constraints initially derived for a standard setup of the Calderón problem are discussed here. Moreover, the algorithms are numerically verified for numerous examples, and results obtained show that the inverse problem exhibits a certain degree of ambiguity for a particular measurement-loading scenario. In other words, the important material property minimising the magnitude of error of the objective function seems to be the effusivity field rather than accurate identification of the individual thermal fields.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20101 - Civil engineering

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Computers and Mathematics with Applications

ISSN

0898-1221

e-ISSN

1873-7668

Svazek periodika

97

Číslo periodika v rámci svazku

09

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

15

Strana od-do

314-328

Kód UT WoS článku

000688441500005

EID výsledku v databázi Scopus

2-s2.0-85108420546