60 citations · 152 across the 13 of their papers we have counts for
3 papers · 1 filter
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…