In this paper, we develop and analyze a multiphysics discontinuous Galerkin method for a poroelasticity model, which describes the dynamics of poro-elastic materials under an applied mechanical force on the boundary. And we prove that the multiphysics discontinuous Galerkin method is absolutely stable for all positive mesh size  h . Also, we propose a time-stepping algorithm which decouples the reformulated poroelasticity model at each time step into two sub-problems, one of which is a generalized Stokes problem for the displacement vector field along with a pseudo-pressure and the other is a diffusion problem for the pseudo-pressure field. And we give the optimal order error estimates in the energy norm. Finally, we give the numerical examples to verify the theoretical results.
['Zhihao Ge', 'Mengxia Ma']
Multiphysics discontinuous Galerkin method for a poroelasticity model