A mixed discontinuous Galerkin method for the time harmonic elasticity   problem with reduced symmetry
  The aim of this paper is to analyze a mixed discontinuous Galerkin discretization of the time-harmonic elasticity problem. The symmetry of the Cauchy stress tensor is imposed weakly, as in the traditional dual-mixed setting. We show that the discontinuous Galerkin scheme is well-posed and uniformly stable with respect to the mesh parameter $h$ and the Lam\'e coefficient $\lambda$. We also derive optimal a-priori error bounds in the energy norm. Several numerical tests are presented in order to illustrate the performance of the method and confirm the theoretical results. 
Antonio M\'arquez, Salim Meddahi and Thanh Tran
math.NA