Estimation Of Numerical Integral Remainder On The Triangle Element And The Tetrahedrom Element

According to the Taylor expansion and Brammble-Hilbert theorem, and inspired by the Lin Qun and Lin Jiafu :Finite Element Methods:Accuracy Improvement, We give detailed error estimation for numerical integral .We estimate the detailed error of numerical integral on the different of the triangle reference element ,triangle general element and tetrahedron reference element,and give the maximum range of constant C,which is dependent on the mesh size .the resulting error estimations are anisotropic and can be used it in the anisotropic mesh.