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

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). 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).

To cite this paper:
Haine Ghislain , Matignon Denis (2021) Structure-Preserving Discretization of a Coupled Heat-Wave System, as Interconnected Port-Hamiltonian Systems. In: Geometric Science of Information. GSI 2021. Lecture Notes in Computer Science; 12829:191–199. Springer, Cham. Paris, France.

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