Original title:
Guaranteed and fully computable two-sided bounds of Friedrichs' constant
Authors:
Vejchodský, Tomáš Document type: Papers Conference/Event: Programy a algoritmy numerické matematiky /16./, Dolní Maxov (CZ), 2012-06-03 / 2012-06-08
Year:
2013
Language:
eng Abstract:
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 a priori-a posteriori inequalities is employed for the upper bound. Several numerical experiments show applicability and accuracy of this approach.
Keywords:
computing; numerical methods Project no.: IAA100190803 (CEP) Funding provider: GA AV ČR Host item entry: Programs and Algorithms of Numerical Matematics 16, ISBN 978-80-85823-62-2