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

卷:235

Article

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

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

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

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

DOI  :  10.1016/j.cam.2010.08.014

来源: Elsevier

【 摘 要 】

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-infinity in time, L-2 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. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

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