Hp–version discontinuous Galerkin approximations of the elastodynamics equation

In this paper we extend the results contained in [1] and consider the problem of approximating the elastodynamics equation by means of hp-version discontinuous Galerkin methods. For the resulting semi-discretized schemes we derive stability bounds as well as hp error estimates in a suitable energy norm. Our theoretical estimates are verified through three dimensions numerical experiments

Defective Boundary Conditions for PDEs with Applications in Haemodynamics

This work gives an overview of the mathematical treatment of state-of-the-art techniques for partial differential problems where boundary data are provided only in terms of averaged quantities. A condition normally indicated as "defective boundary condition". We present and analyse several procedures by which this type of problems can be handled