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Treatment of multiple input uncertainties using the scaled boundary finite element method

Dsouza, Shaima M., Varghese, Tittu M., Ooi, Ean Tat, Natarajan, Sundararajan and Bordas, Stéphane P.A. ORCID: 2021. Treatment of multiple input uncertainties using the scaled boundary finite element method. Applied Mathematical Modelling 99 , pp. 538-554. 10.1016/j.apm.2021.06.021

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This paper presents a non-intrusive scaled boundary finite element method to consider multiple input uncertainties, viz., material and geometry. The types of geometric uncertainties considered include the shape and size of inclusions. The inclusions are implicitly defined, and a robust framework is presented to treat the interfaces, which does not require explicit generation of a conforming mesh or special enrichment techniques. A polynomial chaos expansion is used to represent the input and the output uncertainties. The efficiency and the accuracy of the proposed framework are elucidated in detail with a few problems by comparing the results with the conventional Monte Carlo method. A sensitivity analysis based on Sobol’ indices using the developed framework is presented to identify the critical input parameter that has a higher influence on the output response.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: Elsevier
ISSN: 0307-904X
Date of Acceptance: 14 June 2021
Last Modified: 10 Nov 2022 09:41

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