  We perform a posteriori error analysis in the supremum norm for the quadratic
discontinuous Galerkin method for the elliptic obstacle problem. We define two
discrete sets (motivated by Gaddam, Gudi and Kamana [1]), one set having
integral constraints and other one with the nodal constraints at the quadrature
points, and discuss the pointwise reliability and efficiency of the proposed a
posteriori error estimator. In the analysis, we employ a linear averaging
function to transfer DG finite element space to standard conforming finite
element space and exploit the sharp bounds on the Green's function of the
Poisson's problem. Moreover, the upper and the lower barrier functions
corresponding to continuous solution u are constructed by modifying the
conforming part of the discrete solution uh appropriately. Finally, numerical
experiments are presented to complement the theoretical results.
