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Structure-preserving discretization of port-Hamiltonian plate models

Brugnoli, Andrea and Alazard, Daniel and Pommier-Budinger, Valérie and Matignon, Denis Structure-preserving discretization of port-Hamiltonian plate models. (2021) In: Mathematical Theory of Networks and Systems, August 2021 - August 2021 (Cambridge, United Kingdom).

(Document in English)

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Official URL: https://doi.org/10.1016/j.ifacol.2021.06.094


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.

Item Type:Conference or Workshop Item (Paper)
HAL Id:hal-03349680
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Laboratory name:
project ANR-16-CE92-0028 INFIDHEM https://websites. isae-supaero.fr/infidhem/the-project.
Deposited On:20 Sep 2021 14:01

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