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math.NA2025
Poroelastic flow across a permeable interface: a Hamilton's principle approach and its finite element implementation
Francesco Costanzo, Mohammad Jannesari, Beatrice Ghitti
We consider fluid flow across a permeable interface within a deformable porous medium. We use mixture theory. The mixture's constituents are assumed to be incompressible in their p…
math.NA2016
Finite Element Formulation for a Poroelasticity Problem Stemming from Mixture Theory
Francesco Costanzo, Scott T. Miller
A finite element formulation is developed for a poroelastic medium consisting of an incompressible hyperelastic skeleton saturated by an incompressible fluid. The governing equatio…