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Volume 13, Issue 2
The Partial Projection Method in the Finite Element Discretization of the Reissner-Mindlin Plate Model

Tian-Xiao Zhou

J. Comp. Math., 13 (1995), pp. 172-191.

Published online: 1995-04

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  • Abstract

In the paper a linear combination of both the standard mixed formulation and the displacement one of the Reissner-Mindlin plate theory is used to enhance stability of the former and to remove "locking" of the later. For this new stabilized formulation, a unified approach to convergence analysis is presented for a wide spectrum of finite element spaces. As long as the rotation space is appropriately enriched, the formulation is convergent for the finite element spaces of sufficiently high order. Optimal-order error estimates with constants independent of the plate thickness are proved for the various lower order methods of this kind.

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@Article{JCM-13-172, author = {Zhou , Tian-Xiao}, title = {The Partial Projection Method in the Finite Element Discretization of the Reissner-Mindlin Plate Model}, journal = {Journal of Computational Mathematics}, year = {1995}, volume = {13}, number = {2}, pages = {172--191}, abstract = {

In the paper a linear combination of both the standard mixed formulation and the displacement one of the Reissner-Mindlin plate theory is used to enhance stability of the former and to remove "locking" of the later. For this new stabilized formulation, a unified approach to convergence analysis is presented for a wide spectrum of finite element spaces. As long as the rotation space is appropriately enriched, the formulation is convergent for the finite element spaces of sufficiently high order. Optimal-order error estimates with constants independent of the plate thickness are proved for the various lower order methods of this kind.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9260.html} }
TY - JOUR T1 - The Partial Projection Method in the Finite Element Discretization of the Reissner-Mindlin Plate Model AU - Zhou , Tian-Xiao JO - Journal of Computational Mathematics VL - 2 SP - 172 EP - 191 PY - 1995 DA - 1995/04 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9260.html KW - AB -

In the paper a linear combination of both the standard mixed formulation and the displacement one of the Reissner-Mindlin plate theory is used to enhance stability of the former and to remove "locking" of the later. For this new stabilized formulation, a unified approach to convergence analysis is presented for a wide spectrum of finite element spaces. As long as the rotation space is appropriately enriched, the formulation is convergent for the finite element spaces of sufficiently high order. Optimal-order error estimates with constants independent of the plate thickness are proved for the various lower order methods of this kind.

Tian-Xiao Zhou. (1970). The Partial Projection Method in the Finite Element Discretization of the Reissner-Mindlin Plate Model. Journal of Computational Mathematics. 13 (2). 172-191. doi:
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