A posteriori error estimation with the p-version of the finite element method for nonlinear parabolic differential equations Original Research Article

We analyze an a posteriori error estimator for nonlinear parabolic differential equations in several space dimensions. The spatial discretization is carried out using the p-version of the finite element method. The error estimates are obtained by solving an elliptic problem at the desired times when the estimation is wanted. Some numerical experiments prove the efficiency of the error estimation.