Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640249 | Journal of Computational and Applied Mathematics | 2011 | 23 Pages |
Abstract
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∞L∞ in time, L2L2 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
L. Boulaajine, M. Farhloul, L. Paquet,