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Nonconforming Finite Element Analysis for a Plate Contact Problem
Journal article   Peer reviewed

Nonconforming Finite Element Analysis for a Plate Contact Problem

Weimin Han and Lie-heng Wang
SIAM journal on numerical analysis, Vol.40(5), pp.1683-1697
01/2002
DOI: 10.1137/S0036142901390731

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Abstract

In this paper we analyze nonconforming finite element methods for solving a fourth order elliptic variational inequality of the second kind arising in a plate frictional contact problem. The variational inequality involves a nondifferentiable term due to the frictional contact. Optimal order error estimates are derived for both continuous and discontinuous nonconforming finite elements.

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