Název:
Guaranteed and fully computable two-sided bounds of Friedrichs' constant
Autoři:
Vejchodský, Tomáš Typ dokumentu: Příspěvky z konference Konference/Akce: Programy a algoritmy numerické matematiky /16./, Dolní Maxov (CZ), 2012-06-03 / 2012-06-08
Rok:
2013
Jazyk:
eng
Abstrakt: 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.
Klíčová slova:
computing; numerical methods Číslo projektu: IAA100190803 (CEP) Poskytovatel projektu: GA AV ČR Zdrojový dokument: Programs and Algorithms of Numerical Matematics 16, ISBN 978-80-85823-62-2