3 papers
math.NA2026
Discretization of the Burgers' equation as a port-Hamiltonian system
Lorenzo Agostini, Michel Fournié, Ghislain Haine
The numerical simulation of the inviscid Burgers' equation is often hindered by spurious oscillations near discontinuities. To mitigate this issue, a viscous term can be introduced…
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.OC2024
Stokes-Lagrange and Stokes-Dirac representations of -dimensional port-Hamiltonian systems for modelling and control
Antoine Bendimerad-Hohl, Ghislain Haine, Laurent Lefèvre +1
In this paper, we extend the port-Hamiltonian framework by introducing the concept of Stokes-Lagrange structure, which enables the implicit definition of a Hamiltonian over an -…