@Article{EAJAM-1-248,
author = {Qun Lin and Hehu Xie},
title = {A Type of Finite Element Gradient Recovery Method Based on Vertex-Edge-Face Interpolation: The Recovery Technique and Superconvergence Property},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {1},
number = {3},
pages = {248--263},
abstract = {<p style="text-align: justify;">In this paper, a new type of gradient recovery method based on vertex-edge-face
interpolation is introduced and analyzed. This method gives a new way to recover
gradient approximations and has the same simplicity, efficiency, and superconvergence
properties as those of superconvergence patch recovery method and polynomial preserving
recovery method. Here, we introduce the recovery technique and analyze its
superconvergence properties. We also show a simple application in the a posteriori
error estimates. Some numerical examples illustrate the effectiveness of this recovery
method.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.251210.250411a},
url = {http://global-sci.org/intro/article_detail/eajam/10907.html}
}