@Article{IJNAM-1-1,
author = {Zhimin, Zhang},
title = {Polynomial Preserving Gradient Recovery and a Posteriori Estimate for Bilinear Element on Irregular Quadrilaterals},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2004},
volume = {1},
number = {1},
pages = {1--24},
abstract = {<p style="text-align: justify;">A polynomial preserving gradient recovery method is proposed and analyzed for bilinear 
element under quadrilateral meshes. It
has been proven that the recovered gradient converges at a rate $O(h^{1+\rho})$ for $\rho = min(\alpha, 1)$, when the mesh is distorted $O(h^{1+\alpha})$ ($\alpha &gt; 0$) from
a regular one. Consequently, the a posteriori error estimator based on
the recovered gradient is asymptotically exact.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam.OA-2004-1101},
url = {https://global-sci.com/article/83889/polynomial-preserving-gradient-recovery-and-a-posteriori-estimate-for-bilinear-element-on-irregular-quadrilaterals}
}