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Polynomial chaos expansion for surrogate modelling: Theory and software

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Polynomial chaos expansion for surrogate modelling: Theory and software

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    20102 - Construction engineering, Municipal and structural engineering

Result continuities

  • 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)

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Beton und Stahlbeton

  • ISSN

    0005-9900

  • e-ISSN

    1437-1006

  • Volume of the periodical

    2

  • Issue of the periodical within the volume

    113

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    6

  • Pages from-to

    27-32

  • UT code for WoS article

    000444410900006

  • EID of the result in the Scopus database