TY - JOUR
T1 - Superconvergence of a nonconforming finite element approximation to viscoelasticity type equations on anisotropic meshes
AU - D. Shi, Y. Peng & S. Chen 
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 4
SP - 375
EP - 384
PY - 2006
DA - 2006/11
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/8044.html
KW - 
AB - 
The main aim of this paper is to study the approximation to
viscoelasticity type equations with a Crouzeix-Raviart type
nonconforming finite element on the anisotropic meshes. The
superclose property of the exact solution and the optimal error
estimate of its derivative with respect to time are derived by using
some novel techniques. Moreover, employing a postprocessing
technique, the global superconvergence property for the
discretization error of the postprocessed discrete solution to the
solution itself is studied.