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20182026
most citedA linearly-implicit energy-momentum preserving scheme for geometrically nonlinear mechanics based on non-canonical Hamiltonian formulations

3 citations · 4 across the 6 of their papers we have counts for

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math.NA2026

Mixed finite element discretization of intrinsic geometrically exact beams for explicit 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…

math.NA2025

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…

math.NA2025

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…

math.NA2024

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…

math.NA2024

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…

math.NA2020

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…