The Partial Projection Method in the Finite Element Discretization of the Reissner-Mindlin Plate Model
Year: 1995
Author: Tian-Xiao Zhou
Journal of Computational Mathematics, Vol. 13 (1995), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1995-JCM-9260
Journal of Computational Mathematics, Vol. 13 (1995), Iss. 2 : pp. 172–191
Published online: 1995-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20