Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640849 | Journal of Computational and Applied Mathematics | 2009 | 26 Pages |
Abstract
In this paper we analyze a new dual mixed formulation of the elastodynamic system in polygonal domains. In this formulation the symmetry of the strain tensor is relaxed by the rotation of the displacement. For the time discretization of this new dual mixed formulation, we use an explicit scheme. After the analysis of stability of the fully discrete scheme, L∞L∞ in time, L2L2 in space a priori error estimates are derived for the approximation of the displacement, the strain, the pressure and the rotation. Numerical experiments confirm our theoretical predictions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
L. Boulaajine, M. Farhloul, L. Paquet,