TY - JOUR
T1 - Some Weighted Averaging Methods for Gradient Recovery
AU - Huang , Yunqing
AU - Jiang , Kai
AU - Yi , Nianyu
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 131
EP - 155
PY - 2012
DA - 2012/04
SN - 4
DO - http://doi.org/10.4208/aamm.10-m1188
UR - https://global-sci.org/intro/article_detail/aamm/111.html
KW - Finite element method, weighted averaging, gradient recovery.
AB - <p style="text-align: justify;">We propose some new weighted averaging methods for gradient recovery,
and present analytical and numerical investigation on the performance of these
weighted averaging methods. It is shown analytically that the harmonic averaging
yields a superconvergent gradient for any mesh in one-dimension and the rectangular
mesh in two-dimension. Numerical results indicate that these new weighted
averaging methods are better recovered gradient approaches than the simple averaging
and geometry averaging methods under triangular mesh.</p>