Calderón's Inverse Problem in Civil Engineering

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F17%3A00312328" target="_blank" >RIV/68407700:21110/17:00312328 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Calderón's Inverse Problem in Civil Engineering

Popis výsledku v původním jazyce

In specific fields of research such as treatment of historical structures, medical imaging, material science, geophysics and others, it is of particular interest to perform only a non-intrusive boundary measurement. The idea is to obtain a comprehensive information about the material properties inside the domain under consideration while maintaining the test sample intact. This contribution is focused on such problems i.e. synthesizing a physical model of interest with a boundary inverse techniques. The forward model is represented by a basic time dependent diffusion equation with Finite Element (FE) discretization and the parameters are subsequently recovered using a modified Calderon problem principle, numerically solved by a regularized Gauss-Newton method. We provide a basic framework, implementation details and modification of general constrains originally derived for a standard setup of Calderon problem. The proposed model setup was numerically verified for various domains, load conditions and material field distributions. Both steady-state and time dependent cases are studied.

Název v anglickém jazyce

Calderón's Inverse Problem in Civil Engineering

Popis výsledku anglicky

In specific fields of research such as treatment of historical structures, medical imaging, material science, geophysics and others, it is of particular interest to perform only a non-intrusive boundary measurement. The idea is to obtain a comprehensive information about the material properties inside the domain under consideration while maintaining the test sample intact. This contribution is focused on such problems i.e. synthesizing a physical model of interest with a boundary inverse techniques. The forward model is represented by a basic time dependent diffusion equation with Finite Element (FE) discretization and the parameters are subsequently recovered using a modified Calderon problem principle, numerically solved by a regularized Gauss-Newton method. We provide a basic framework, implementation details and modification of general constrains originally derived for a standard setup of Calderon problem. The proposed model setup was numerically verified for various domains, load conditions and material field distributions. Both steady-state and time dependent cases are studied.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

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

2017

Kód důvěrnosti údajů

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

Název statě ve sborníku

Engineering Mechanics 2017 - Book of full texts

ISBN

978-80-214-5497-2

ISSN

1805-8248

e-ISSN

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Počet stran výsledku

4

Strana od-do

370-373

Název nakladatele

Brno University of Technology

Místo vydání

Brno

Místo konání akce

Svratka

Datum konání akce

15. 5. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000411657600082