@Article{NMTMA-9-595,
author = {Ruijian He and Xinlong Feng},
title = {Second Order Convergence of the Interpolation Based on $Q^c_1$-Element},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2016},
volume = {9},
number = {4},
pages = {595--618},
abstract = {<p style="text-align: justify;">In this paper, the second order convergence of the interpolation based on $Q^c_1$-element
 is derived in the case of $d$=1, 2 and 3. Using the integral average on each element, the new basis functions of tensor product type is builded up and we can easily extend it to the higher dimensional case.
 Finally, some numerical tests are
made to show the analytical results of the interpolation errors.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2016.m1503},
url = {http://global-sci.org/intro/article_detail/nmtma/12391.html}
}