Reduced-order modeling using the frequency-domain method for parabolic partial differential equations

This paper suggests reduced-order modeling using the Galerkin proper orthogonal decomposition (POD) to find approximate solutions for parabolic partial differential equations. We first transform a parabolic partial differential equation to the frequency-dependent elliptic equations using the Fourier...

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Bibliographic Details

Published in:	AIMS Mathematics
Main Authors:	Jeong-Kweon Seo, Byeong-Chun Shin
Format:	Article
Language:	English
Published:	AIMS Press 2023-04-01
Subjects:	reduced-order modeling proper orthogonal decomposition finite element method fourier transformation
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.2023779?viewType=HTML