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A Partitioned Finite Element Method (PFEM) for power-preserving discretization of port-Hamiltonian systems (pHs) with polynomial nonlinearity

Cardoso-Ribeiro, Flávio Luiz and Matignon, Denis and Lefèvre, Laurent A Partitioned Finite Element Method (PFEM) for power-preserving discretization of port-Hamiltonian systems (pHs) with polynomial nonlinearity. ( In Press: 2022) In: European Nonlinear Dynamics Conference (ENOC 2022), 17 July 2022 - 22 July 2022 (Lyon, France).

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Abstract

The Partitioned Finite Element Method introduced in [IMA J. MCIControl and Information, 2021]. provides a structure-preserving discretization for the solution of systems of boundary controlled and observed Partial Differential Equations (PDEs), formulated as distributed-parameter port-Hamiltonian systems (pHs). In particular, the energy balance is preserved at the discrete level. This method, already well-developped for linear systems, is also suitable for nonlinear systems with polynomial nonlinearity, such as the 2D Shallow Water Equations, or the full von-Kármán plate equations.

Item Type:Invited Conference
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > Université Grenoble Alpes - UGA (FRANCE)
Other partners > Instituto Tecnológico de Aeronáutica - ITA (BRASIL)
Laboratory name:
Funders:
INFIDHEM n ◦ ANR-16-CE92-0028 (http://websites.isae.fr/infidhem).
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Deposited On:20 Sep 2021 14:02

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