SUPER-CONVERGENCE OF THE A POSTERIORI ERROR ESTIMATORS FOR FINITE-ELEMENT SOLUTIONS
Raimondas Čiegis · Demonstratio Mathematica · 2003
The analysis of the accuracy of the a posteriori error estimation procedure for finite-element solutions is presented.The function Y -y is used as an a posteriori error estimator, here y 6 SQ' A is the finite-element solution of the given problem and V € SQ' A is the higher order solution of the same problem.The second order accuracy is proved for this error estimator in the L2, Hi and Loo norms.Results of numerical experiments are presented.