Codice 11/2015 Titolo High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation Data 2015-03-05 Autore/i Antonietti, P. F.; Marcati, C.; Mazzieri, I.; Quarteroni, A. Link Download full text Pubblicato Numerical Algorithms Abstract In this work apply the discontinuous Galekin (dG) spectral element method on meshes made of simplicial elements for the approximation of the elastodynamics equation. Our approach combines the high accuracy of spectral methods, the geometrical flexibility of simplicial elements and the computational flexibility of dG methods. We analyze the dissipation, dispersion and stability properties of the resulting scheme, with a focus on the choice of different sets of basis functions. Finally, we test the method on benchmark as well as realistic test cases.