This contribution presents a general numerical method for computing lower and upper bound of the optimal constant in Friedrichs’ inequality. The standard Rayleigh-Ritz method is used for the lower bound and the method of is employed for the upper bound. Several numerical experiments show applicability and accuracy of this approach.
@article{702727,
title = {Guaranteed and fully computable two-sided bounds of Friedrichs' constant},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2013},
pages = {195-201},
url = {http://dml.mathdoc.fr/item/702727}
}
Vejchodský, Tomáš. Guaranteed and fully computable two-sided bounds of Friedrichs’ constant, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2013), pp. 195-201. http://gdmltest.u-ga.fr/item/702727/