Recovering lower bounds of the error by postprocessing implicit residual a posteriori error estimates

Author (s): Díez, P., Parés; N. And Huerta,A.
Journal: International Journal for Numerical Methods in Engineering

Volume: 56, Issue 10
Pages: 1465 – 1488
Date: 2003

Abstract:
Classical residual type error estimators approximate the error flux around the elements and yield upper bounds of the exact (or reference) error. Lower bounds of the error are also needed in goal oriented adaptivity and for bounds on functional outputs. This work introduces a simple and cheap strategy to recover a lower bound estimate from standard upper bound estimates. This lower bound may also be used to assess the effectivity of the former estimate and to improve it.

Journal paper (from the publisher)  
UPCommons page Link  

Bibtex:

@article{NPM-DPH:03,
  Author   = {Diez, Pedro and Pares, Nuria and Huerta, Antonio},
  Title    = {Recovering lower bounds of the error by postprocessing implicit residual a posteriori error estimates},
  Fjournal = {International Journal for Numerical Methods in Engineering},
  Journal  = {0029-5981},
  Volume   = {56},
  Number   = {10},
  Pages    = {1465--1488},
  Year     = {2003}}