Complexity of the method of averaging

Dalík, Josef

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 65-77

Abstract

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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 𝒯 of a bounded polytopic domain in d for any d 2 is described and its complexity is analysed.

How to cite

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Dalík, Josef. "Complexity of the method of averaging." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2010. 65-77. <http://eudml.org/doc/271389>.

@inProceedings{Dalík2010,
abstract = {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 $d\ge 2$ is described and its complexity is analysed.},
author = {Dalík, Josef},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {finite element method; superapproximation of derivatives; simplicial triangulations; averaging partial derivatives},
location = {Prague},
pages = {65-77},
publisher = {Institute of Mathematics AS CR},
title = {Complexity of the method of averaging},
url = {http://eudml.org/doc/271389},
year = {2010},
}

TY - CLSWK
AU - Dalík, Josef
TI - Complexity of the method of averaging
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2010
CY - Prague
PB - Institute of Mathematics AS CR
SP - 65
EP - 77
AB - 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 $d\ge 2$ is described and its complexity is analysed.
KW - finite element method; superapproximation of derivatives; simplicial triangulations; averaging partial derivatives
UR - http://eudml.org/doc/271389
ER -

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