Volume 23, Issue 1
Uniform Superapproximation of the Derivative of Tetrahedral Quadratic Finite Element Approximation

J. Comp. Math., 23 (2005), pp. 75-82.

Published online: 2005-02

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• Abstract

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.

• Keywords

Tetrahedron, Superapproximation, Finite element.

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@Article{JCM-23-75, author = {}, title = {Uniform Superapproximation of the Derivative of Tetrahedral Quadratic Finite Element Approximation}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {1}, pages = {75--82}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8797.html} }
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.

Jing-Hong Liu & Qi-Ding Zhu. (1970). Uniform Superapproximation of the Derivative of Tetrahedral Quadratic Finite Element Approximation. Journal of Computational Mathematics. 23 (1). 75-82. doi:
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