  A finite element formulation is developed for a poroelastic medium consisting
of an incompressible hyperelastic skeleton saturated by an incompressible
fluid. The governing equations stem from mixture theory and the application is
motivated by the study of interstitial fluid flow in brain tissue. The
formulation is based on the adoption of an ALE perspective. We focus on a flow
regime in which inertia forces are negligible. The stability and convergence of
the formulation is discussed, and numerical results demonstrate agreement with
the theory.
