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

DOI10.1093/IMAMCI/DNAA038zbMath1475.93051arXiv1906.05965OpenAlexW2949109868WikidataQ114999508 ScholiaQ114999508MaRDI QIDQ5162745

Denis Matignon, Flávio Luiz Cardoso-Ribeiro, Laurent Lefèvre

Publication date: 5 November 2021

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05965

zbMATH Keywords

port-Hamiltonian systemsstructure-preserving discretizationgeometric spatial discretizationpartitioned finite element method

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Networked control (93B70)

Related Items (9)

Passivity preserving model reduction via spectral factorization ⋮ Controllability of the linear elasticity as a first-order system using a stabilized space-time mixed formulation ⋮ Numerical Analysis of a Structure-Preserving Space-Discretization for an Anisotropic and Heterogeneous Boundary Controlled $N$-Dimensional Wave Equation As a Port-Hamiltonian System ⋮ Port-Hamiltonian fluid–structure interaction modelling and structure-preserving model order reduction of a classical guitar ⋮ Structure-preserving discretization of the Cahn-Hilliard equations recast as a port-Hamiltonian system ⋮ Modelling and structure-preserving discretization of the Schrödinger as a port-Hamiltonian system, and simulation of a controlled quantum box ⋮ Theory and implementation of coupled port-Hamiltonian continuum and lumped parameter models ⋮ Dual field structure-preserving discretization of port-Hamiltonian systems using finite element exterior calculus ⋮ Structure-preserving discretization of a coupled heat-wave system, as interconnected port-Hamiltonian systems

This page was built for publication: A partitioned finite element method for power-preserving discretization of open systems of conservation laws