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Structure-Preserving Discretization of a Coupled Heat-Wave System, as Interconnected Port-Hamiltonian Systems

Haine, Ghislain and Matignon, Denis Structure-Preserving Discretization of a Coupled Heat-Wave System, as Interconnected Port-Hamiltonian Systems. (2021) In: Geometric Science of Information. Springer International Publishing AG, 191-199.

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Official URL: https://doi.org/10.1007/978-3-030-80209-7_22

Abstract

The heat-wave system is recast as the coupling of port-Hamiltonian subsystems (pHs), and discretized in a structure-preserving way by the Partitioned Finite Element Method (PFEM) (Cardoso-Ribeiro, 2021). Then, depending on the geometric configuration of the two domains, different asymptotic behaviours of the energy of the coupled system can be recovered at the numerical level, assessing the validity of the theoretical results of (Zhang and Zuazua, 2007).

Item Type:Book Section
Additional Information:Part of the Lecture Notes in Computer Science book series (LNCS, volume 12829)
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Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
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Deposited On:17 Sep 2021 14:04

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