Nonconforming Quadrilateral Rotated $Q_1$ Element for Reissner-Mindlin Plate

Nonconforming Quadrilateral Rotated $Q_1$ Element for Reissner-Mindlin Plate

Year:    2003

Journal of Computational Mathematics, Vol. 21 (2003), Iss. 1 : pp. 25–32

Abstract

 In this paper, we extend two rectangular elements for Reissner-Mindlin plate [9] to the quadrilateral case. Optimal ${\rm H}^1$ and ${\rm L}^2$ error bounds independent of the plate thickness are derived under a mild assumption on the mesh partition.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2003-JCM-8873

Journal of Computational Mathematics, Vol. 21 (2003), Iss. 1 : pp. 25–32

Published online:    2003-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Reissner-Mindlin Plate Quadrilateral Rotated $Q_1$ element Locking-free.