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math.NA2024
Scattering-Passive Structure-Preserving Finite Element Method for the Boundary Controlled Transport Equation with a Moving Mesh
Jesus-Pablo Toledo-Zucco, Denis Matignon, Charles Poussot-Vassal
A structure-preserving Finite Element Method (FEM) for the transport equation in one- and two-dimensional domains is presented. This Distributed Parameter System (DPS) has non-coll…
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…