Anisotropic Mesh Triangle Superconvergence Analysis

Some triangular elements are considered to solve the two-dimensional and second-order elliptic boundary value problem on a class of anisotropic meshes (we call them GATM). By using some novel techniques and the distinct properties of these triangular elements, we get the corresponding superclose and superconvergence results on GATM. Finally, we list a lot of numerical examples to confirm our theoretical analysis.