activity
20042024
most citedA Partitioned Finite Element Method for power-preserving discretization of open systems of conservation laws

69 citations · 219 across the 11 of their papers we have counts for

collaborators

13 papers

math.DS2024★ 1 cited

On implicit and explicit representations for 1D distributed port-Hamiltonian systems

Antoine Bendimerad-Hohl, Denis Matignon, Ghislain Haine +1

First, two examples of 1D distributed port-Hamiltonian systems with dissipation, given in explicit (descriptor) form, are considered: the Dzekster model for the seepage of undergro…

math.AP2023★ 1 cited

Stokes-Dirac structures for distributed parameter port-Hamiltonian systems: an analytical viewpoint

Andrea Brugnoli, Ghislain Haine, Denis Matignon

In this paper we prove that a large class of linear evolution PDEs defines a Stokes-Dirac structure over Hilbert spaces. To do so, the theory of boundary control system is employed…

eess.SY2022★ 2 cited

Data-driven port-Hamiltonian structured identification for non-strictly passive systems

Charles Poussot-Vassal, Denis Matignon, Ghilslain Haine +1

In this work, we detail a procedure to construct a reduced order model on the basis of frequency-domain data, that preserves the non-strictly passive property and the port-Hamilton…

math.NA2020

Structure-preserving discretization of port-Hamiltonian plate models

Andrea Brugnoli, Daniel Alazard, Valérie Pommier-Budinger +1

Methods for discretizing port-Hamiltonian systems are of interest both for simulation and control purposes. Despite the large literature on mixed finite elements, no rigorous analy…

math.NA2020★ 1 cited

Numerical analysis of a structure-preserving space-discretization for an anisotropic and heterogeneous boundary controlled N-dimensional wave equation as port-Hamiltonian system

Ghislain Haine, Denis Matignon, Anass Serhani

The anisotropic and heterogeneous -dimensional wave equation, controlled and observed at the boundary, is considered as a port-Hamiltonian system. A recent structure-preserving…

physics.flu-dyn2020

About Dissipative and Pseudo Port-Hamiltonian Formulations of Irreversible Newtonian Compressible Flows

Luis A. Mora, Yann Le Gorrec, Denis Matignon +2

In this paper we consider the problem of obtaining a general port-Hamiltonian formulation of Newtonian fluids. We propose the port-Hamiltonian models to describe the energy flux of…