  We analyze an iterative coupling of mixed and discontinuous Galerkin methods
for numerical modelling of coupled flow and mechanical deformation in porous
media. The iteration is based on an optimized fixed-stress split along with a
discontinuous variational time discretization. For the spatial discretization
of the subproblem of flow mixed finite element techniques are applied. The
discretization of the subproblem of mechanical deformation uses discontinuous
Galerkin methods. They have shown their ability to eliminate locking that
sometimes arises in numerical algorithms for poroelasticity and causes
nonphysical pressure oscillations.
