72 citations · 98 across the 13 of their papers we have counts for
4 papers · 1 filter
Discrete nonlinear elastodynamics in a port-Hamiltonian framework
Philipp L. Kinon, Tobias Thoma, Peter Betsch +1
We provide a fully nonlinear port-Hamiltonian formulation for discrete elastodynamical systems as well as a structure-preserving time discretization. The governing equations are ob…
Port-Hamiltonian formulation and structure-preserving discretization of hyperelastic strings
Philipp L. Kinon, Tobias Thoma, Peter Betsch +1
Port-Hamiltonian (PH) systems provide a framework for modeling, analysis and control of complex dynamical systems, where the complexity might result from multi-physical couplings,…
Discrete-time port-Hamiltonian systems: A definition based on symplectic integration
Paul Kotyczka, Laurent Lefèvre
We introduce a new definition of discrete-time port-Hamiltonian systems (PHS), which results from structure-preserving discretization of explicit PHS in time. We discretize the und…
Weak Form of Stokes-Dirac Structures and Geometric Discretization of Port-Hamiltonian Systems
Paul Kotyczka, Bernhard Maschke, Laurent Lefèvre
We present the mixed Galerkin discretization of distributed parameter port-Hamiltonian systems. On the prototypical example of hyperbolic systems of two conservation laws in arbitr…