Some recovery type error estimators for linear finite elements are analyzed under O(h 1+α) (α > 0) regular grids. Superconvergence of order O(h 1+ρ) (0 < ρ ≤ α) is established for recovered gradients by three different methods. As a consequence, a posteriori error estimators based on those recovery methods are asymptotically exact.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics