Antonietti, Paola F.Paola F.AntoniettiAyuso De Dios, BlancaBlancaAyuso De DiosMazzieri, IlarioIlarioMazzieriQuarteroni, AlfioAlfioQuarteroni2020-05-052020-05-052015-11-21Journal of Scientific Computing 1 (68): 143-170 (2016)http://hdl.handle.net/11420/6038We consider semi-discrete discontinuous Galerkin approximations of both displacement and displacement-stress formulations of the elastodynamics problem. We prove the stability analysis in the natural energy norm and derive optimal a-priori error estimates. For the displacement-stress formulation, schemes preserving the total energy of the system are introduced and discussed. We verify our theoretical estimates on two and three dimensions test problems.en1573-769120151143170Springer Science + Business Media B.V.discontinuous Galerkin methodselastodynamics equationstability and error analysisMathematikJournal Article10.1007/s10915-015-0132-2Other