5 papers
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…
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…
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…
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…
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…