Superconvergence of order O(h1+rho), for some rho is greater than 0, is established for gradients recovered using Polynomial Preserving Recovery technique when the mesh is mildly structured. Consequently this technique can be used in building a posteriori error estimator that is asymptotically exact.
Number in Series
Applied Mathematics | Mathematics | Numerical Analysis and Computation
AMS Subject Classification
65N30, 65N15, 65Nl2, 65Dl0, 74805, 41Al0, 41A25
Zhang, Zhimin and Naga, Ahmed, "A Posteriori Error Estimates Based on Polynomial Preserving Recovery" (2002). Mathematics Research Reports. 6.