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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Bibliographic Details
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
Subjects:
Applied mathematics
Boundary value problems
Estimates
Finite element analysis
Mechanics
Numerical analysis
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Summary: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.
ISSN:0036-1429
1095-7170
DOI:10.1137/S0036142901390731