Port-Hamiltonian formulations of poroelastic network models

  title={Port-Hamiltonian formulations of poroelastic network models},
  author={R. Altmann and Volker Mehrmann and B. Unger},
  journal={Mathematical and Computer Modelling of Dynamical Systems},
  pages={429 - 452}
ABSTRACT We investigate an energy-based formulation of the two-field poroelasticity model and the related multiple-network model as they appear in geosciences or medical applications. We propose a port-Hamiltonian formulation of the system equations, which is beneficial for preserving important system properties after discretization or model-order reduction. For this, we include the commonly omitted second-order term and consider the corresponding first-order formulation. The port-Hamiltonian… 
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