Improved ZZ A Posteriori Error Estimators for Diffusion Problems: Conforming Linear Elements
arXiv:1508.00191
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.
arXiv admin note: substantial text overlap with arXiv:1407.4377