A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain, I

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:231

Article

Boulaajine, L.²  Farhloul, M.¹  Paquet, L.² 

[1] Univ Moncton, Dept Math & Stat, Moncton, NB E1A 3E9, Canada

[2] Univ Valenciennes & Hainaut Cambresis, MACS, ISTV, F-59313 Valenciennes 9, France

关键词: Sobolev spaces;    Elastodynamic;    Dual mixed finite element;    Newmark scheme;    Lagrange multiplier;    Hybrid formulation;    Error estimation;   

DOI  :  10.1016/j.cam.2009.03.013

来源: Elsevier

【 摘 要 】

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-infinity in time, L-2 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. (C) 2009 Elsevier Ltd. All rights reserved.

【 授权许可】

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