Publication Results

Code: 56/2013
Title: Stability analysis for Discontinuous Galerkin approximations of the elastodynamics problem
Date: Friday 15th November 2013
Author(s) : Antonietti, P.f.; Ayuso De Dios, B.; Mazzieri, I.; Quarteroni, A.
Download link:
Abstract: We consider semi-discrete discontinuous Galerkin approximations of a general elastodynamics problem, in both displacement and displacement-stress formulations. We present the stability analysis of all the methods 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 include some numerical experiments in three dimensions to verify the theory.