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math.NA2026
Structure-preserving space discretization of differential and nonlocal constitutive relations for port-Hamiltonian systems
Antoine Bendimerad-Hohl, Ghislain Haine, Laurent Lefèvre +1
We study the structure-preserving space discretization of port-Hamiltonian (pH) systems defined with differential constitutive relations. Using the concept of Stokes-Lagrange struc…
math.NA2024
Structure-Preserving Discretization and Model Order Reduction of Boundary-Controlled 1D Port-Hamiltonian Systems
Jesus-Pablo Toledo-Zucco, Denis Matignon, Charles Poussot-Vassal +1
This paper presents a systematic methodology for the discretization and reduction of a class of one-dimensional Partial Differential Equations (PDEs) with inputs and outputs colloc…