Adaptive quadratic finite element method for the unilateral contact problem

2022/09/11 by Khandelwal, Rohit, Porwal, Kamana, Wadhawan, Tanvi
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2209.04906

Abstract

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

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