Nonconforming Finite Element Analysis for a Plate Contact Problem

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 e...

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Published in:SIAM journal on numerical analysis 2002-01, Vol.40 (5), p.1683-1697
Main Authors: Han, Weimin, Wang, Lie-heng
Format: Article
Language:English
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Applied mathematics
Boundary value problems
Estimates
Finite element analysis
Mechanics
Numerical analysis
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description 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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source JSTOR Archival Journals and Primary Sources Collection; ABI/INFORM Global; LOCUS - SIAM's Online Journal Archive
subjects Applied mathematics
Boundary value problems
Estimates
Finite element analysis
Mechanics
Numerical analysis
title Nonconforming Finite Element Analysis for a Plate Contact Problem
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