60 citations · 152 across the 13 of their papers we have counts for
14 papers
Mixed finite element discretization of intrinsic geometrically exact beams for multiplier-free multibody dynamics
Andrea Brugnoli, Philipp L. Kinon, Francesco Sanfedino +2
The Reissner-Simo and Hodges models are two equivalent continuous descriptions of finite-strain beam dynamics. The Reissner-Simo formulation uses displacements and rotations, while…
A linearly-implicit energy-momentum preserving scheme for geometrically nonlinear mechanics based on non-canonical Hamiltonian formulations
Andrea Brugnoli, Denis Matignon, Joseph Morlier
This work presents a novel formulation and numerical strategy for the simulation of geometrically nonlinear structures. First, a non-canonical Hamiltonian (Poisson) formulation is…
A domain decomposition strategy for natural imposition of mixed boundary conditions in port-Hamiltonian systems
S. D. M. de Jong, A. Brugnoli, R. Rashad +2
In this contribution, a finite element scheme to impose mixed boundary conditions without introducing Lagrange multipliers is presented for hyperbolic systems described as port-Ham…
Decoupled structure-preserving discretization of incompressible MHD equations with general boundary conditions
Yi Zhang, Artur Palha, Andrea Brugnoli +2
In the framework of a mixed finite element method, a structure-preserving formulation for incompressible magnetohydrodynamic (MHD) equations with general boundary conditions is pro…
On the discrete equivalence of Lagrangian, Hamiltonian and mixed finite element formulations for linear wave phenomena
Andrea Brugnoli, Volker Mehrmann
It is well known that the Lagrangian and Hamiltonian descriptions of field theories are equivalent at the discrete time level when variational integrators are used. Besides the sym…
Intrinsic nonlinear elasticity: An exterior calculus formulation
Ramy Rashad, Andrea Brugnoli, Federico Califano +2
In this paper we formulate the theory of nonlinear elasticity in a geometrically intrinsic manner using exterior calculus and bundle-valued differential forms. We represent kinemat…
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…
Finite element hybridization of port-Hamiltonian systems
Andrea Brugnoli, Ramy Rashad, Yi Zhang +1
In this contribution, we extend the hybridization framework for the Hodge Laplacian [Awanou et al., Hybridization and postprocessing in finite element exterior calculus, 2023] to p…
Dual field structure-preserving discretization of port-Hamiltonian systems using finite element exterior calculus
Andrea Brugnoli, Ramy Rashad, Stefano Stramigioli
In this paper we propose a novel approach to discretize linear port-Hamiltonian systems while preserving the underlying structure. We present a finite element exterior calculus for…
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…
Structure-preserving discretization of port-Hamiltonian plate models
Andrea Brugnoli, Daniel Alazard, Valérie Pommier-Budinger +1
Methods for discretizing port-Hamiltonian systems are of interest both for simulation and control purposes. Despite the large literature on mixed finite elements, no rigorous analy…
Port-Hamiltonian flexible multibody dynamics
Andrea Brugnoli, Daniel Alazar, Valérie Pommier-Budinger +1
A new formulation for the modular construction of flexible multibody systems is presented. By rearranging the equations for a flexible floating body and introducing the appropriate…
Port-Hamiltonian formulation and symplectic discretization of plate models. Part II : Kirchhoff model for thin plates
Andrea Brugnoli, Daniel Alazard, Valérie Pommier-Budinger +1
The mechanical model of a thin plate with boundary control and observation is presented as a port-Hamiltonian system (pHs), both in vectorial and tensorial forms: the Kirchhoff-Lov…
Port-Hamiltonian formulation and symplectic discretization of Plate models. Part I : Mindlin model for thick plates
Andrea Brugnoli, Daniel Alazard, Valérie Pommier-Budinger +1
The port-Hamiltonian formulation is a powerful method for modeling and interconnecting systems of different natures. In this paper, the port-Hamiltonian formulation in tensorial fo…