Stochastic Spectral Methods in Uncertainty Quantification

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F19%3APU135766" target="_blank" >RIV/00216305:26110/19:PU135766 - isvavai.cz</a>

Výsledek na webu

<a href="http://tces.vsb.cz/Home/ArticleDetail/486" target="_blank" >http://tces.vsb.cz/Home/ArticleDetail/486</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.35181/tces-2019-0019" target="_blank" >10.35181/tces-2019-0019</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Stochastic Spectral Methods in Uncertainty Quantification

Popis výsledku v původním jazyce

Uncertainty quantification is an important part of a probabilistic design of structures. Nonetheless, common Monte Carlo methods are highly computationally demanding or even not feasible for this task, especially in case of mathematical models of physical problems solved by finite element method. Therefore, the paper is focused on the efficient alternative approach for uncertainty quantification-stochastic spectral expansion, represented herein by Polynomial Chaos Expansion. In recent years, an application of stochastic spectral methods in uncertainty quantification is the topic of research for many scientists in various fields of science and its efficiency was shown by various studies. The paper presents basic theoretical background of polynomial chaos expansion and its connection to uncertainty quantification. The possibility of efficient statistical and sensitivity analysis is investigated and an application in analytical examples with known reference solution is presented herein. Moreover, practical implementation of methodology is discussed and developed SW tool is presented herein.

Název v anglickém jazyce

Stochastic Spectral Methods in Uncertainty Quantification

Popis výsledku anglicky

Uncertainty quantification is an important part of a probabilistic design of structures. Nonetheless, common Monte Carlo methods are highly computationally demanding or even not feasible for this task, especially in case of mathematical models of physical problems solved by finite element method. Therefore, the paper is focused on the efficient alternative approach for uncertainty quantification-stochastic spectral expansion, represented herein by Polynomial Chaos Expansion. In recent years, an application of stochastic spectral methods in uncertainty quantification is the topic of research for many scientists in various fields of science and its efficiency was shown by various studies. The paper presents basic theoretical background of polynomial chaos expansion and its connection to uncertainty quantification. The possibility of efficient statistical and sensitivity analysis is investigated and an application in analytical examples with known reference solution is presented herein. Moreover, practical implementation of methodology is discussed and developed SW tool is presented herein.

Druh

J_ost - Ostatní články v recenzovaných periodicích

CEP obor

—

OECD FORD obor

20102 - Construction engineering, Municipal and structural engineering

Projekt

<a href="/cs/project/GA18-13212S" target="_blank" >GA18-13212S: Metody plochy odezvy a citlivostní analýzy ve stochastické výpočtové mechanice (RESUS)</a><br>

Návaznosti

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

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

Transactions of the VŠB – Technical University of Ostrava, Civil Engineering Series

ISSN

1804-4824

e-ISSN

—

Svazek periodika

19

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

6

Strana od-do

48-53

Kód UT WoS článku

—

EID výsledku v databázi Scopus

—