Some recovery type error estimators for linear finite element method are analyzed under O(h1+alpha) (alpha greater than 0) regular grids. Superconvergence is established for recovered gradients by three different methods when solving general non-self-adjoint second-order elliptic equations. As a consequence, a posteriori error estimators based on those recovery methods are asymptotically exact.
Number in Series
Applied Mathematics | Mathematics | Numerical Analysis and Computation
AMS Subject Classification
Primary 65N30, Secondary 65N50, 65N15, 65N12, 65D10, 74S05, 41A10, 41A25
Xu, Jinchao and Zhang, Zhimin, "Analysis of Recovery Type A Posteriori Error Estimators for Mildly Structured Grids" (2002). Mathematics Research Reports. 4.