TY - JOUR
T1 - Superconvergence Analysis for Cubic Triangular Element of the Finite Element
AU - Zhu , Qi-Ding
JO - Journal of Computational Mathematics
VL - 5
SP - 541
EP - 550
PY - 2000
DA - 2000/10
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9064.html
KW - Finite element, Superconvergence, Projection interpolation.
AB - <p style="text-align: justify;">In this paper, we construct a projection interpolation for cubic triangular element by using orthogonal expansion triangular method. We show two fundamental formulas of estimation on a special partion and obtain a superconvergence result of 1-ε order higher for the placement function and its tangential derivative on the third order Lobatto points and Gauss points on each edge of triangular element.</p>