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Structure-preserving discretization of port-Hamiltonian plate models

Abstract : Methods for discretizing port-Hamiltonian systems are of interest both for simulation and control purposes. Despite the large literature on mixed finite elements, no rigorous analysis of the connections between mixed elements and port-Hamiltonian systems has been carried out. In this paper we demonstrate how existing methods can be employed to discretize dynamical plate problems in a structure-preserving way. Based on convergence results of existing schemes, new error estimates are conjectured; numerical simulations confirm the expected behaviors.
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https://hal.archives-ouvertes.fr/hal-03349680
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Submitted on : Monday, September 20, 2021 - 4:21:00 PM
Last modification on : Tuesday, September 21, 2021 - 10:10:32 AM
Long-term archiving on: : Tuesday, December 21, 2021 - 7:12:23 PM

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Andrea Brugnoli, Daniel Alazard, Valérie Pommier-Budinger, Denis Matignon. Structure-preserving discretization of port-Hamiltonian plate models. Mathematical Theory of Networks and Systems, Aug 2021, Cambridge, United Kingdom. pp.359-364, ⟨10.1016/j.ifacol.2021.06.094⟩. ⟨hal-03349680⟩

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