Adaptive Quadratic Finite Element Method for the Unilateral Contact Problem

In this paper, we present and analyze a posteriori error estimates in the energy norm of quadratic finite element method for frictionless unilateral contact problem. The reliability efficiency estimator is discussed. suitable decomposition discrete space $${\mathbf{V^h_0}}$$ $${\mathbf{Q^h}}$$ , where counterpart force density defined, play crucial role deriving estimates. Numerical results are presented exhibiting proposed estimator.