Sobolev方程在流体穿过裂缝岩石的渗透理论,土壤中湿气的转移问题,不同介质的热传导问题等许多物理问题中都有广泛的应用,因此已有许多文献研究此方程[2,6,8,9,11],但这些研究都是基于对剖分的正则性条件或拟一致假设,
In this paper, higher accuracy analysis of the Wilson element to Sobolev equation is discussed under anisotropic meshes. The superclose property, which is as the same as results on regular meshes are derived. Then, the superconvergence is obtained through the interpolation postprocessing technique. Two order higher convergence rate than general error estimate in H^1-norm is derived by use of extrapolation.