article

An Online Method for Interpolating Linear Parametric Reduced-Order Models

Authors:

David Amsallem,

Charbel FarhatAuthors Info & Claims

SIAM Journal on Scientific Computing, Volume 33, Issue 5

Pages 2169 - 2198

https://doi.org/10.1137/100813051

Published: 01 September 2011 Publication History

Abstract

A two-step online method is proposed for interpolating projection-based linear parametric reduced-order models (ROMs) in order to construct a new ROM for a new set of parameter values. The first step of this method transforms each precomputed ROM into a consistent set of generalized coordinates. The second step interpolates the associated linear operators on their appropriate matrix manifold. Real-time performance is achieved by precomputing inner products between the reduced-order bases underlying the precomputed ROMs. The proposed method is illustrated by applications in mechanical and aeronautical engineering. In particular, its robustness is demonstrated by its ability to handle the case where the sampled parameter set values exhibit a mode veering phenomenon.

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cover image SIAM Journal on Scientific Computing

SIAM Journal on Scientific Computing Volume 33, Issue 5

^† Special Section: 2010 Copper Mountain Conference

2011

972 pages

ISSN:1064-8275

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Society for Industrial and Applied Mathematics

United States

Publication History

Published: 01 September 2011

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Cited By

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Mencik J(2024)Improved model reduction with basis enrichment for dynamic analysis of nearly periodic structures including substructures with geometric changesJournal of Computational and Applied Mathematics10.1016/j.cam.2024.115844445:COnline publication date: 1-Aug-2024
https://dl.acm.org/doi/10.1016/j.cam.2024.115844
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Daniel TCasenave FAkkari NKetata ARyckelynck D(2022)Physics-informed cluster analysis and a priori efficiency criterion for the construction of local reduced-order basesJournal of Computational Physics10.1016/j.jcp.2022.111120458:COnline publication date: 1-Jun-2022
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Cho HShin SKim HCho M(2020)Enhanced model-order reduction approach via online adaptation for parametrized nonlinear structural problemsComputational Mechanics10.1007/s00466-019-01771-765:2(331-353)Online publication date: 1-Feb-2020
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