Inproceedings,

Model order reduction with dynamically transformed modes for the wave equation

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Proceedings in Applied Mathematics and Mechanics 2020, 20, page e202000321. Wiley, (2021)
DOI: 10.1002/pamm.202000321

Abstract

In this contribution, we apply a recently introduced nonlinear model reduction framework based on dynamically transformed modes to the linear wave equation with periodic boundary conditions. We demonstrate that under reasonable assumptions, the reduced‐order model can be evaluated efficiently. Consequently, we obtain that the state variables of the reduced‐order model are constant or linear functions with respect to time.

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