A Kind of Nonconforming Finite Element Approximation to Sobolev Equations on Anisotropic Meshes
Sobolev方程的一类各向异性非协调有限元逼近

A kind of nonconforming finite element approximation to Sobolev equations is discussed with semidiscretization and full discretization on anisotropic meshes,respectively. The same optimal error estimates and superclose properties as the traditional finite element methods are derived. Furthermore, for the semidiscretization method, the global superconvergence is obtained through constructing an anisotropic post-processing operator.