Iterative Coupling of Mixed and Discontinuous Galerkin Methods for Poroelasticity
For researchers in computational geomechanics, this provides a robust numerical method for coupled flow and deformation in porous media.
The paper develops an iterative coupling of mixed and discontinuous Galerkin methods for poroelasticity, using an optimized fixed-stress split and discontinuous time discretization, which eliminates locking and nonphysical pressure oscillations.
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.