Sobolev Equations Two Types Of Non-conforming Element High-precision Analysis

In this paper, the higher order Wilson element and Carey element are applied to Sobolev equation. Higher accuracy analysis of the two elements are discussed under anisotropic meshes. By using of the particular structure of elements and some new techniques, the optimal error estimate and superclose,which are as same as results derived on regular meshes are derived. Then, the interpolation postprocessing technique is used to obtain the global superconvergence.