A high-order discontinuous Galerkin approach to the elasto-acoustic problem
Monday 26th February 2018
Antonietti, P.F.; Bonaldi, F.; Mazzieri, I.
We address the spatial discretization of an evolution problem arising from the coupling of viscoelastic and acoustic wave propagation phenomena by employing a discontinuous Galerkin scheme on polygonal and polyhedral meshes. The coupled nature of the problem is ascribed to suitable transmission conditions imposed at the interface between the solid (elastic) domain and the fluid (acoustic) domain. We state and prove a well-posedness result for the strong formulation of the problem, present a stability analysis for the semi-discrete formulation, and finally prove an a priori hp-version error estimate for the resulting formulation in a suitable (mesh-dependent) energy norm. The conver- gence results are validated by numerical experiments carried out in a two-dimensional setting.