Comparison between the modal idientification method and the POD-Galerkin method for model reduction in nonlienar diffusive systems

This paper presents a comparison between the modal identification method (MIM) and the proper orthogonal decomposition-Galerkin (POD-G) method for model reduction. An example of application on a nonlinear diffusive system is used to illustrate the study. The study shows that in both methods, the state formulation of the nonlinear diffusive equation may be similar. However, the ideas behind both methods are completely different. The considered example shows that, for both methods, reducing the order up to 99,5 % gives enough accuracy to simulate the dynamic of the original system. It is also seen in this example that the reduced model given through the MIM are slightly faster and more accurate than the ones given through the POD-G method.

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Additional Info

Field Value
Source ISSN: 0029-5981
Author Balima, Olivier, Favennec, Yann, Girault, Manuel, Petit, Daniel
Maintainer CCSD
Last Updated May 6, 2026, 01:19 (UTC)
Created May 6, 2026, 01:19 (UTC)
Identifier hal-00095910
Language en
contributor Laboratoire d'études thermiques (LET [Poitiers]) ; Université de Poitiers = University of Poitiers (UP)-École Nationale Supérieure de Mécanique et d’Aérotechnique [Poitiers] (ISAE-ENSMA)-Centre National de la Recherche Scientifique (CNRS)
creator Balima, Olivier
date 2006-05-06T00:00:00
harvest_object_id 69dff4b3-ab36-43e6-ad77-ab284e103ba4
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-09-29T00:00:00
relation info:eu-repo/semantics/altIdentifier/doi/10.1002/nme.1620
set_spec type:ART