TY - JOUR T1 - Uniform Superapproximation of the Derivative of Tetrahedral Quadratic Finite Element Approximation JO - Journal of Computational Mathematics VL - 1 SP - 75 EP - 82 PY - 2005 DA - 2005/02 SN - 23 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8797.html KW - Tetrahedron, Superapproximation, Finite element. AB -

In this paper,we will prove the derivative of tetrahedral quadratic finite element approximation is superapproximate to the derivative of the quadratic Lagrange interpolant of the exact solution in the $L^{\infty}$-norm, which can be used to enhance the accuracy of the derivative of tetrahedral quadratic finite element approximation to the derivative of the exact solution.