Codice 28/2016 Titolo A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics Data 2016-07-30 Autore/i Antonietti, P.F.; Dal Santo, N.; Mazzieri, I.; Quarteroni, A. Link Download full text Pubblicato IMA Journal of Numerical Analysis Abstract The aim of this work is to propose and analyze a new high order discontinuous Galerkin finite element method for the time integration of a Cauchy problem second order ordinary differential equations. These equations typically arise after space semi-discretization of second order hyperbolic-type differential problems, e.g., wave, elastodynamics and acoustics equation. After introducing the new method, we analyze its well-posedness and prove a-priori error estimates in a suitable (mesh-dependent) norm. Numerical results are also presented to verify the theoretical estimates. space-time finite elements, discontinuous Galerkin methods, second order hyperbolic equations.