Polynomial chaos expansion for surrogate modelling: Theory and software

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F18%3APU129537" target="_blank" >RIV/00216305:26110/18:PU129537 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1002/best.201800048" target="_blank" >http://dx.doi.org/10.1002/best.201800048</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/best.201800048" target="_blank" >10.1002/best.201800048</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Polynomial chaos expansion for surrogate modelling: Theory and software

Popis výsledku v původním jazyce

The paper is focused on the application of a surrogate model to reliability analysis. Despite recent advances in this field, the reliability analysis of complex non-linear finite element models is still highly time-consuming. Thus, the approximation of the nonlinear finite element model by a surrogate meta-model is often the only choice if one wishes to perform a sufficient amount of simulations to enable reliability analysis. First, the basic theory of polynomial chaos expansion (PCE) is described, including the transformation of correlated random variables. The usage of the PCE for the estimation of statistical moments and sensitivity analysis is then presented. It can be done efficiently via the post-processing of the employed surrogate model in explicit form without any additional computational demands. The possibility of utilizing the adaptive algorithm Least Angle Regression is also discussed. The implementation of the discussed theory into a software tool, and its application, are presented in the last part of the paper.

Název v anglickém jazyce

Polynomial chaos expansion for surrogate modelling: Theory and software

Popis výsledku anglicky

The paper is focused on the application of a surrogate model to reliability analysis. Despite recent advances in this field, the reliability analysis of complex non-linear finite element models is still highly time-consuming. Thus, the approximation of the nonlinear finite element model by a surrogate meta-model is often the only choice if one wishes to perform a sufficient amount of simulations to enable reliability analysis. First, the basic theory of polynomial chaos expansion (PCE) is described, including the transformation of correlated random variables. The usage of the PCE for the estimation of statistical moments and sensitivity analysis is then presented. It can be done efficiently via the post-processing of the employed surrogate model in explicit form without any additional computational demands. The possibility of utilizing the adaptive algorithm Least Angle Regression is also discussed. The implementation of the discussed theory into a software tool, and its application, are presented in the last part of the paper.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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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

2018

Kód důvěrnosti údajů

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

Název periodika

Beton und Stahlbeton

ISSN

0005-9900

e-ISSN

1437-1006

Svazek periodika

2

Číslo periodika v rámci svazku

113

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

6

Strana od-do

27-32

Kód UT WoS článku

000444410900006

EID výsledku v databázi Scopus

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