Numerical modelling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods

We present and analyze a high-order discontinuous Galerkin method for the space discretization of wave propagation model in thermo-poroelastic media. The proposed scheme supports general polytopal grids. Stability analysis $hp$-version error estimates suitable energy norms are derived semi-discrete problem. fully-discrete is then obtained based on employing an implicit Newmark-$\beta$ time integration scheme. A wide set numerical simulations reported, both verification theoretical examples physical interest. comparison with results poroelastic provided too, highlighting differences between predictive capabilities two models.