4 citations · 8 across the 8 of their papers we have counts for
9 papers
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…
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…
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 -…
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…
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…
Numerical approximation of port-Hamiltonian systems for hyperbolic or parabolic PDEs with boundary control
Andrea Brugnoli, Ghislain Haine, Anass Serhani +1
We consider the design of structure-preserving discretization methods for the solution of systems of boundary controlled Partial Differential Equations (PDEs) thanks to the port-Ha…
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…
Asymptotic stability of the multidimensional wave equation coupled with classes of positive-real impedance boundary conditions
Florian Monteghetti, Ghislain Haine, Denis Matignon
This paper proves the asymptotic stability of the multidimensional wave equation posed on a bounded open Lipschitz set, coupled with various classes of positive-real impedance boun…
Reconstructing initial data using observers : error analysis of the semi-discrete and fully discrete approximations
Ghislain Haine, Karim Ramdani
A new iterative algorithm for solving initial data inverse problems from partial observations has been recently proposed in Ramdani, Tucsnak and Weiss [15]. Based on the concept of…