Abstract: | The main aim of this paper is to study the error estimates of a nonconforming finiteelement with some superconvergence results under anisotropic meshes.The anisotropicinterpolation error and consistency error estimates are obtained by using some novel ap-proaches and techniques,respectively.Furthermore,the superclose and a superconvergenceestimate on the central points of elements are also obtained without the regularity assump-tion and quasi-uniform assumption requirement on the meshes.Finally,a numerical testis carried out,which coincides with our theoretical analysis. |