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Model order reduction with dynamically transformed modes for the wave equation
Author(s) -
Black Felix,
Schulze Philipp,
Unger Benjamin
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000321
Subject(s) - reduction (mathematics) , nonlinear system , order (exchange) , constant (computer programming) , model order reduction , wave equation , mathematics , boundary value problem , state (computer science) , boundary (topology) , mathematical analysis , physics , computer science , algorithm , geometry , quantum mechanics , projection (relational algebra) , finance , economics , programming language
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.