Numerical Simulation of Some Variational Inequalities Arisen from Unilateral Contact Problems by the Finite Element Methods

Authors:
F. Ben Belgacem
Affiliations:
-
Venue:
SIAM Journal on Numerical Analysis
Year:
2000

Citing 0
Cited 7

Quadratic finite element approximation of the Signorini problem

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Quadratic finite element methods for unilateral contact problems

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Hybrid finite element methods for the Signorini problem

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A mixed formulation for the Signorini problem in nearly incompressible elasticity

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An a Posteriori Error Estimator for Two-Body Contact Problems on Non-Matching Meshes

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Superconvergence of finite element method for the Signorini problem

Journal of Computational and Applied Mathematics
A mixed formulation for the Signorini problem in nearly incompressible elasticity

Applied Numerical Mathematics

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Abstract

This contribution deals with the finite element approximation of the variational inequalities coming from the Signorini problem and the unilateral contact between two elastic bodies. The numerical analysis we carry out improves former results and states optimal convergence rates, under reasonable regularity hypotheses, for both conforming and nonconforming methods.