Goal-oriented error control in adaptive mixed FEM for Signorini’s Problem

This paper outlines goal-oriented finite element error control for Signorini’s problem. The discretization is based on a mixed formulation proposed by Hlavacek et al. which is extended to higher-order polynomials. A duality argument based on a variational inequality is applied, which allows for the estimates in h- as well as hp-adaptivity. Numerical results confirm the applicability of the theoretical findings.