A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics

Code:
28/2016
Title:
A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics
Date:
Saturday 30th July 2016
Author(s):
Antonietti, P.F.; Dal Santo, N.; Mazzieri, I.; Quarteroni, A.
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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.
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IMA Journal of Numerical Analysis