Improved ZZ A Posteriori Error Estimators for Diffusion Problems: Conforming Linear Elements
Numerical Analysis
2016-04-26 v2
Abstract
In \cite{CaZh:09}, we introduced and analyzed an improved Zienkiewicz-Zhu (ZZ) estimator for the conforming linear finite element approximation to elliptic interface problems. The estimator is based on the piecewise "constant" flux recovery in the conforming finite element space. This paper extends the results of \cite{CaZh:09} to diffusion problems with full diffusion tensor and to the flux recovery both in piecewise constant and piecewise linear space.
Cite
@article{arxiv.1508.00191,
title = {Improved ZZ A Posteriori Error Estimators for Diffusion Problems: Conforming Linear Elements},
author = {Zhiqiang Cai and Cuiyu He and Shun Zhang},
journal= {arXiv preprint arXiv:1508.00191},
year = {2016}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1407.4377