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Nonconforming finite element methods for a clamped plate with elastic unilateral obstacle
Journal article   Open access  Peer reviewed

Nonconforming finite element methods for a clamped plate with elastic unilateral obstacle

Weimin Han, Dongying Hua and Lieheng Wang
Journal of Integral Equations and Applications, Vol.18(2), pp.267-284
2006
DOI: 10.1216/jiea/1181075382
url
https://doi.org/10.1216/jiea/1181075382View
Published (Version of record) Open Access

Abstract

In this paper we analyze nonconforming finite element methods for solving a fourth order boundary value problem describing the deformation of a clamped elastic thin plate unilaterally constrained by an elastic obstacle. Optimal order error estimates are derived for both continuous and discontinuous nonconforming finite elements.

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