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Nonconforming Finite Element Analysis for a Plate Contact Problem

Khaireddine Fernane, Abdelhamid Ayadi


In this paper we present a discretization of the obstacle problem for a thin plate by the mixed finite elements method of a new variational formulation which can be obtained directly from the inequality of the hypersphere. The mathematical analysis of this method leads to two optimal rates of convergence. Numerical results are obtained and compared with those of the classical approaches using the primal and dual variational formulations. Finally, we give a convergence result.


unilateral contact, finite elements, mixed method, stabilization, a priori error estimate.

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