On the asymptotic exactness of error estimators for linear triangular finite elements

Autor: Durán, Ricardo, Muschietti, María Amelia, Rodríguez, Rodolfo
Zdroj: Numerische Mathematik; December 1991, Vol. 59 Issue: 1 p107-127, 21p
Abstrakt: Summary This paper deals with a-posteriori error estimates for piecewise linear finite element approximations of elliptic problems. We analyze two estimators based on recovery operators for the gradient of the approximate solution. By using superconvergence results we prove their asymptotic exactness under regularity assumptions on the mesh and the solution.
Databáze: Supplemental Index