TY - JOUR
T1 - The Derivative Patch Interpolating Recovery Technique for Finite Element Approximations
AU - Zhang , Tie
AU -  , Yanping Lin
AU - Tait , R. J.
JO - Journal of Computational Mathematics
VL - 1
SP - 113
EP - 122
PY - 2004
DA - 2004/02
SN - 22
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10339.html
KW - Finite element, Derivative recovery, Ultraconvergence.
AB - <p style="text-align: justify;">A derivative patch interpolating recovery technique is analyzed for the finite element approximation to the second order elliptic boundary value problems in two dimensional case. It is shown that the convergence rate of the recovered gradient admits superconvergence on the recovered subdomain, and is two order higher than the optimal global convergence rate (ultraconvergence) at an internal node point when even order finite element spaces and local uniform meshes are used.</p>