A Posteriori Error Estimates for Finite Element Approximation of Parabolic p-Laplacian

In this paper, we derive a posteriori error estimates in the quasi-norm for the finite element approximation of the parabolic p-Laplacian. We obtain a posteriori error bounds for the semidiscrete scheme and the fully backward Euler discretization. We show that the new a posteriori error estimators provide both upper and lower bounds on the discretization error.