Accuracy investigation of a stabilized FEM for solving flows of incompressible fluid

Burda, Pavel; Novotný, Jaroslav; Šístek, Jakub

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 30-36

Abstract

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In computer fluid dynamics, employing stabilization to the finite element method is a commonly accepted way to improve the applicability of this method to high Reynolds numbers. Although the accompanying loss of accuracy is often referred, the question of quantifying this defect is still open. On the other hand, practitioners call for measuring the error and accuracy. In the paper, we present a novel approach for quantifying the difference caused by stabilization.

How to cite

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Burda, Pavel, Novotný, Jaroslav, and Šístek, Jakub. "Accuracy investigation of a stabilized FEM for solving flows of incompressible fluid." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2006. 30-36. <http://eudml.org/doc/271276>.

@inProceedings{Burda2006,
abstract = {In computer fluid dynamics, employing stabilization to the finite element method is a commonly accepted way to improve the applicability of this method to high Reynolds numbers. Although the accompanying loss of accuracy is often referred, the question of quantifying this defect is still open. On the other hand, practitioners call for measuring the error and accuracy. In the paper, we present a novel approach for quantifying the difference caused by stabilization.},
author = {Burda, Pavel, Novotný, Jaroslav, Šístek, Jakub},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {30-36},
publisher = {Institute of Mathematics AS CR},
title = {Accuracy investigation of a stabilized FEM for solving flows of incompressible fluid},
url = {http://eudml.org/doc/271276},
year = {2006},
}

TY - CLSWK
AU - Burda, Pavel
AU - Novotný, Jaroslav
AU - Šístek, Jakub
TI - Accuracy investigation of a stabilized FEM for solving flows of incompressible fluid
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2006
CY - Prague
PB - Institute of Mathematics AS CR
SP - 30
EP - 36
AB - In computer fluid dynamics, employing stabilization to the finite element method is a commonly accepted way to improve the applicability of this method to high Reynolds numbers. Although the accompanying loss of accuracy is often referred, the question of quantifying this defect is still open. On the other hand, practitioners call for measuring the error and accuracy. In the paper, we present a novel approach for quantifying the difference caused by stabilization.
UR - http://eudml.org/doc/271276
ER -

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