# Article

MSC: 65D25, 65N15, 65N30
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Keywords:
finite element method; superapproximation of derivatives; simplicial triangulations; averaging partial derivatives
Summary:
The general method of averaging for the superapproximation of an arbitrary partial derivative of a smooth function in a vertex $a$ of a simplicial triangulation $\mathcal T$ of a bounded polytopic domain in $\Re^d$ for any $d\geq 2$ is described and its complexity is analysed.

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