Stochastic Spectral Methods in Uncertainty Quantification

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

Stochastic Spectral Methods in Uncertainty Quantification

Original language description

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.

Czech name

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Czech description

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Type

J_ost - Miscellaneous article in a specialist periodical

CEP classification

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OECD FORD branch

20102 - Construction engineering, Municipal and structural engineering

Project

<a href="/en/project/GA18-13212S" target="_blank" >GA18-13212S: Response surface and sensitivity analysis methods in stochastic computational mechanics (RESUS)</a><br>

Continuities

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

Publication year

2019

Confidentiality

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

Name of the periodical

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

ISSN

1804-4824

e-ISSN

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Volume of the periodical

19

Issue of the periodical within the volume

2

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

6

Pages from-to

48-53

UT code for WoS article

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EID of the result in the Scopus database

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