@Article{JCM-22-581,
author = {Xie , Xiaoping},
title = {From Energy Improvement to Accuracy Enhancement: Improvement of Plate Bending Elements by the Combined Hybrid Method},
journal = {Journal of Computational Mathematics},
year = {2004},
volume = {22},
number = {4},
pages = {581--592},
abstract = {<p style="text-align: justify;">By following the geometric point of view in mechanics, a novel expression of the combined hybrid method for plate bending problems is introduced to clarify its intrinsic mechanism of enhancing coarse-mesh accuracy of conforming or nonconforming plate elements. By adjusting the combination parameter $\alpha \in (0,1)$ and adopting appropriate bending moments modes, reduction of energy error for the discretized displacement model leads to enhanced numerical accuracy. As an application, improvement of Adini&#39;s rectangle is discussed. Numerical experiments show that the combined hybrid counterpart of Adini&#39;s element is capable of attaining high accuracy at coarse meshes. &nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/10307.html}
}