TY - JOUR
T1 - Second Order Convergence of the Interpolation Based on $Q^c_1$-Element
AU - Ruijian He & Xinlong Feng
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 595
EP - 618
PY - 2016
DA - 2016/09
SN - 9
DO - http://doi.org/10.4208/nmtma.2016.m1503
UR - https://global-sci.org/intro/article_detail/nmtma/12391.html
KW - 
AB - <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>