Theory and implementation of coupled port-Hamiltonian continuum and lumped parameter models
DOI10.1007/s10659-021-09846-4OpenAlexW3179559223WikidataQ114226680 ScholiaQ114226680MaRDI QIDQ2231122
Chris P. Bradley, Peter J. Hunter, Finbar J. Argus
Publication date: 29 September 2021
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-021-09846-4
PDEmodellingHamiltonianfinite elementbond graphcontinuumGalerkinsymplecticFEniCSmonolithicport-Hamiltonianlumped parameter
Wave equation (35L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Coupling of solid mechanics with other effects (74F99)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Energy conservation issues in the numerical solution of the semilinear wave equation
- Weak boundary conditions for wave propagation problems in confined domains: formulation and implementation using a variational multiscale method
- Automated solution of differential equations by the finite element method. The FEniCS book
- Weak imposition of Dirichlet boundary conditions in fluid mechanics
- Symplectic integration of Hamiltonian wave equations
- Hamiltonian formulation of distributed-parameter systems with boundary energy flow
- Weak form of Stokes-Dirac structures and geometric discretization of port-Hamiltonian systems
- Symplectic Hamiltonian HDG methods for wave propagation phenomena
- Hamiltonian discretization of boundary control systems
- Symmetric multistep methods over long times
- Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
- Port-Hamiltonian formulation and symplectic discretization of plate models. I: Mindlin model for thick plates
- Port-Hamiltonian formulation and symplectic discretization of plate models. II: Kirchhoff model for thin plates
- A quasi-Hamiltonian discretization of the thermal shallow water equations
- Multisymplecticity of hybridizable discontinuous Galerkin methods
- A partitioned finite element method for the structure-preserving discretization of damped infinite-dimensional port-Hamiltonian systems with boundary control
- Energy-enstrophy conserving compatible finite element schemes for the rotating shallow water equations with slip boundary conditions
- Discrete-time port-Hamiltonian systems: a definition based on symplectic integration
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Modeling and Control of Complex Physical Systems
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Geometric numerical integration illustrated by the Störmer–Verlet method
- An Introduction to Numerical Analysis
- Travelling wave solutions of multisymplectic discretizations of semi-linear wave equations
- Port-Hamiltonian Systems Theory: An Introductory Overview
- A partitioned finite element method for power-preserving discretization of open systems of conservation laws
- Bond-graph modeling
- Geometric Numerical Integration
This page was built for publication: Theory and implementation of coupled port-Hamiltonian continuum and lumped parameter models