Error estimates of piezoelectric Signorini's contact problems

Abstract

This paper deals with a study the linear finite element approximation of a piezoelectric Signorini's contact problem with and without friction. We derive error estimates that depend on the penalty parameter ε and the mesh size h. Moreover, under some regularities of the solution to the contact problems and some requirements on parameters ε and h, we provide results on the convergence rate of the finite element approximation of the penalized solution.