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Numerical comparisons between the full-order fluid-structure interaction model and the reduced-order one confirm both accuracy and stability of the reduction technique over the whole admissible parameter domain. We believe that such an approach can be applied to a broad range of coupled problems especially involving quasistatic models of structural mechanics.We share a small connection between information theory, algebra, and topology-namely, a correspondence between Shannon entropy and derivations of the operad of topological simplices