TY - JOUR
T1 - Superconvergence of Tetrahedral Quadratic Finite Elements
AU - Brandts , Jan
AU - Křížek , Michal
JO - Journal of Computational Mathematics
VL - 1
SP - 27
EP - 36
PY - 2005
DA - 2005/02
SN - 23
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8793.html
KW - Tetrahedron, Superconvergence, Supercloseness, Post-processing, Gauss points.
AB - <p style="text-align: justify;">For a model elliptic boundary value problem we will prove that on strongly regular families of uniform tetrahedral partitions of a pohyhedral domain, the gradient of the quadratic finite element approximation is superclose to the gradient of the quadratic Lagrange interpolant of the exact solution. This supercloseness will be used to construct a post-processing that increases the order of approximation to the gradient in the global $L^2$-norm.</p>