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

摘要

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 ob- Tained by solving an elliptic problem at the desired times when the estimation is wanted. Some numerical experiments Prove the efficiency of the error estimation.