TY - JOUR
T1 - Extrapolation for the Second Order Elliptic Problems by Mixed Finite Element Methods in Three Dimensions
AU - Xie , H.
AU - Jia , S.
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 112
EP - 131
PY - 2008
DA - 2008/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/802.html
KW - superconvergence, interpolation postprocessing, extrapolation,  mixed finite element.
AB - <p style="text-align: justify;">In this paper we derive asymptotic error expansions for
mixed finite element approximations of general second order elliptic
problems in three dimensions. And extrapolation method is applied to
improve the accuracy of the approximations with the help of the
interpolation postprocessing technique. For the cubic domain and uniform
partition, with the extrapolation, the accuracy of the mixed finite
element approximations can be improved.</p>