In this paper we analyze a new dual mixed formulation of the elastodynamic system in polygonal domains by using an implicit scheme for the time discretization. After the analysis of stability of the fully discrete scheme, L∞ in time, L2 in space a priori error estimates for the approximation of the displacement, the strain, the pressure and the rotational are derived. Numerical tests are presented which confirm our theoretical results. © 2010 Elsevier B.V. All rights reserved.
Boulaajine, L., Farhloul, M., & Paquet, L. (2011). A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain, II. Journal of Computational and Applied Mathematics, 235(5), 1288–1310. https://doi.org/10.1016/j.cam.2010.08.014