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Volume 20, Issue 1
Linear Finite Element Approximations for the Timoshenko Beam and the Shallow Arch Problems

Xiao-Liang Cheng & Wei-Min Xue

J. Comp. Math., 20 (2002), pp. 15-22.

Published online: 2002-02

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  • Abstract

In this paper we discuss the linear finite element approximations for the Timoshenko beam and the shallow arch problems with shear dampening and reduced integration. We derive directly the optimal order error estimates uniformly with the small thickness parameter, without relying on the theory of saddle point problems.

  • Keywords

Timoshenko beam, Shallow arch, Shear dampening, Reduced integration.

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-15, author = {Cheng , Xiao-Liang and Xue , Wei-Min}, title = {Linear Finite Element Approximations for the Timoshenko Beam and the Shallow Arch Problems}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {1}, pages = {15--22}, abstract = {

In this paper we discuss the linear finite element approximations for the Timoshenko beam and the shallow arch problems with shear dampening and reduced integration. We derive directly the optimal order error estimates uniformly with the small thickness parameter, without relying on the theory of saddle point problems.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8895.html} }
TY - JOUR T1 - Linear Finite Element Approximations for the Timoshenko Beam and the Shallow Arch Problems AU - Cheng , Xiao-Liang AU - Xue , Wei-Min JO - Journal of Computational Mathematics VL - 1 SP - 15 EP - 22 PY - 2002 DA - 2002/02 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8895.html KW - Timoshenko beam, Shallow arch, Shear dampening, Reduced integration. AB -

In this paper we discuss the linear finite element approximations for the Timoshenko beam and the shallow arch problems with shear dampening and reduced integration. We derive directly the optimal order error estimates uniformly with the small thickness parameter, without relying on the theory of saddle point problems.

Cheng , Xiao-Liang and Xue , Wei-Min. (2002). Linear Finite Element Approximations for the Timoshenko Beam and the Shallow Arch Problems. Journal of Computational Mathematics. 20 (1). 15-22. doi:
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