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.
@article{702815,
title = {Accuracy investigation of a stabilized FEM for solving flows of incompressible fluid},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2006},
pages = {30-36},
url = {http://dml.mathdoc.fr/item/702815}
}
Burda, Pavel; Novotný, Jaroslav; Šístek, Jakub. Accuracy investigation of a stabilized FEM for solving flows of incompressible fluid, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2006), pp. 30-36. http://gdmltest.u-ga.fr/item/702815/