The Superconvergence Analysis of Linear Triangular Element on Anisotropic Meshes

Linear triangular element is considered to solve the second order elliptic boundary value problem in 2-D.By using of the distinctive structure and some novel approaches,we obtain the super- close and superconvergence results on certain kind of anisotropic meshes.Moreover,numerical tests confirming the theoretical results are reported.The results obtained herein are helpful in developing posteriori estimates and adaptive argorithms for numerical solution of the second order problems.