Document Type

Technical Report


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


This work was supported in part by the National Science Foundation grants DMS-9706949 and Center for Computational Mathematics and Applications, Penn State University, and in part by the National Science Foundation grants DMS-0074301, DMS-0079743, and INT-0196139.