A partitioned finite element method for power-preserving discretization of open systems of conservation laws

FL Cardoso-Ribeiro, D Matignon… - IMA Journal of …, 2021 - academic.oup.com
This paper presents a structure-preserving spatial discretization method for distributed
parameter port-Hamiltonian systems. The class of considered systems are hyperbolic …

Port-Hamiltonian formulations for the modeling, simulation and control of fluids

FL Cardoso-Ribeiro, G Haine, Y Le Gorrec… - Computers & …, 2024 - Elsevier
This paper presents a state of the art on port-Hamiltonian formulations for the modeling and
numerical simulation of open fluid systems. This literature review, with the help of more than …

Numerical approximation of port-Hamiltonian systems for hyperbolic or parabolic PDEs with boundary control

A Brugnoli, G Haine, A Serhani, X Vasseur - arXiv preprint arXiv …, 2020 - arxiv.org
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 …

Port-Hamiltonian formulation and structure-preserving discretization of hyperelastic strings

PL Kinon, T Thoma, P Betsch, P Kotyczka - arXiv preprint arXiv …, 2023 - arxiv.org
Port-Hamiltonian (PH) systems provide a framework for modeling, analysis and control of
complex dynamical systems, where the complexity might result from multi-physical …

Port-Hamiltonian FE models for filaments

T Thoma, P Kotyczka - IFAC-PapersOnLine, 2022 - Elsevier
In this article, we present the port-Hamiltonian representation, the structure preserving
discretization and the resulting finite-dimensional state space model of one-dimensional …

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

G Haine, D Matignon, A Serhani - arXiv preprint arXiv:2006.15032, 2020 - arxiv.org
The anisotropic and heterogeneous $ N $-dimensional wave equation, controlled and
observed at the boundary, is considered as a port-Hamiltonian system. A recent structure …

Theory and implementation of coupled port-Hamiltonian continuum and lumped parameter models

FJ Argus, CP Bradley, PJ Hunter - Journal of Elasticity, 2021 - Springer
A continuous Galerkin finite element method that allows mixed boundary conditions without
the need for Lagrange multipliers or user-defined parameters is developed. A mixed …

Explicit port-Hamiltonian FEM-models for linear mechanical systems with non-uniform boundary conditions

T Thoma, P Kotyczka - IFAC-PapersOnLine, 2022 - Elsevier
In this contribution, we present how to obtain explicit state space models in port-Hamiltonian
form when a mixed finite element method is applied to a linear mechanical system with non …

[HTML][HTML] Structure-preserving discretization and model order reduction of boundary-controlled 1D port-Hamiltonian systems

JP Toledo-Zucco, D Matignon, C Poussot-Vassal… - Systems & Control …, 2024 - Elsevier
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 collocated …

Explicit structure-preserving discretization of port-Hamiltonian systems with mixed boundary control

A Brugnoli, G Haine, D Matignon - IFAC-PapersOnLine, 2022 - Elsevier
In this contribution, port-Hamiltonian systems with non-homogeneous mixed boundary
conditions are discretized in a structure-preserving fashion by means of the Partitioned FEM …