Multi-fidelity response surfaces for uncertainty quantification in beams using coarse and fine finite element discretizations

Aruna, A and Ganguli, R (2020) Multi-fidelity response surfaces for uncertainty quantification in beams using coarse and fine finite element discretizations. In: International Journal for Computational Methods in Engineering Science and Mechanics, 22 (2). pp. 103-122.

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Abstract

This paper discusses a benchmark problem to understand the response surface based multi-fidelity model and uncertainty quantification in the context of beam vibrations. A multi-fidelity model for the beam is constructed by blending a low-fidelity finite element model (coarse discretization) and a high-fidelity finite element model (fine discretization). The natural frequencies of the beam are the desired responses. A second-order correction response surface constructed based on high and low-fidelity simulations, is used to correct the low-fidelity response surface model. It is shown that the multi-fidelity model is accurate and ranks much better than the high-fidelity model in terms of computational effort. © 2020 Taylor & Francis Group, LLC.

Item Type:	Journal Article
Publication:	International Journal for Computational Methods in Engineering Science and Mechanics
Publisher:	Bellwether Publishing, Ltd.
Additional Information:	The copyright for this article belongs to Bellwether Publishing, Ltd.
Keywords:	Blending; Surface properties; Uncertainty analysis, Bench-mark problems; Computational effort; Finite element discretizations; High fidelity models; Multi-fidelity modeling; Response surface modeling; Second-order correction; Uncertainty quantifications, Finite element method
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	07 Feb 2023 09:44
Last Modified:	07 Feb 2023 09:44
URI:	https://eprints.iisc.ac.in/id/eprint/80005

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