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

被引：8

作者：

Boulaajine, L. ^{[2
]}

Farhloul, M. ^{[1
]}

Paquet, L. ^{[2
]}

机构：

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

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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 231卷 / 01期

关键词：

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

D O I：

10.1016/j.cam.2009.03.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：447 / 472

页数：26

共 50 条

[1] A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain, II
Boulaajine, L.
Farhloul, M.
Paquet, L.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (05) : 1288 - 1310
[2] A posteriori error estimation for the dual mixed finite element method of the elasticity problem in a polygonal domain
Boulaajine, L
Farhloul, M
Paquet, L
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2005, 21 (05) : 938 - 960
[3] A posteriori error estimation for the dual mixed finite element method for the p-Laplacian in a polygonal domain
Creuse, E.
Farhoul, M.
Paquet, L.
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (25-28) : 2570 - 2582
[4] A posteriori error estimation for the dual mixed finite element method of the Stokes problem
Farhloul, M.
Nicaise, S.
Paquet, L.
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2006, 27 (7-8) : 831 - 846
[5] A posteriori error estimation for the dual mixed finite element method of the Stokes problem
Farhloul, M
Nicaise, S
Paquet, L
[J]. COMPTES RENDUS MATHEMATIQUE, 2004, 339 (07) : 513 - 518
[6] Refined mixed finite element method for the elasticity problem in a polygonal domain
Farhloul, M
Paquet, L
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2002, 18 (03) : 323 - 339
[7] A Priori and A Posteriori Error Estimations for the Dual Mixed Finite Element Method of the Navier-Stokes Problem
Farhloul, M.
Nicaise, S.
Paquet, L.
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (04) : 843 - 869
[8] Augmented mixed finite element method for the Oseen problem: A priori and a posteriori error analyses
Barrios, Tomas P.
Manuel Cascon, J.
Gonzalez, Maria
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2017, 313 : 216 - 238
[9] A priori error estimates for a coupled finite element method and mixed finite element method for a fluid-solid interaction problem
Feng, XB
Xie, ZH
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2004, 24 (04) : 671 - 698
[10] Error estimation for the polygonal finite element method for smooth and singular linear elasticity
Gonzalez-Estrada, Octavio A.
Natarajan, Sundararajan
Jose Rodenas, Juan
Bordas, Stephane P. A.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 92 : 109 - 119

← 1 2 3 4 5 →