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Error analysis of quadrilateral Wilson element for Reissner–Mindlin plate

✍ Scribed by Jun Hu; Zhong-Ci Shi

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
304 KB
Volume
197
Category
Article
ISSN
0045-7825

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✦ Synopsis

In this paper, we generalize the rectangular nonconforming Wilson element method proposed in [Z. Zhang, S. Zhang, Wilson element for the Reissner-Mindlin plate,Comput. Methods Appl. Mech. Engrg. 113 (1994) [55][56][57][58][59][60][61][62][63][64][65] for the Reissner-Mindlin plate problem to the general quadrilateral mesh and analyze the error. It is proved that this method converges at uniformly optimal rates with respect to both the energy and L 2 norms. These estimates improve those of [Z. Zhang, S. Zhang, Wilson element for the Reissner-Mindlin plate, Comput. Methods Appl. Mech. Engrg. 113 (1994) 55-65] in the sense that the requirement of H 3 ðXÞ regularity on the solution is dropped, and that the L 2 error estimate of this scheme is analyzed. The numerical examples at the end of this paper demonstrate the superiority of this method over the MITC4 [K.

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