# Article

 Title: Guaranteed and fully computable two-sided bounds of Friedrichs’ constant (English) Author: Vejchodský, Tomáš Language: English Journal: Programs and Algorithms of Numerical Mathematics Volume: Proceedings of Seminar. Dolní Maxov, June 3-8, 2012 Issue: 2012 Year: Pages: 195-201 . Category: math . Summary: 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 $\textit {a\ priori-a\ posteriori\ inequalities}$ is employed for the upper bound. Several numerical experiments show applicability and accuracy of this approach. (English) Keyword: Friedrichs' constant Keyword: a posteriori error estimates Keyword: eigenvalue problem MSC: 65N08 MSC: 65N25 MSC: 65N30 . Date available: 2015-07-08T06:45:53Z Last updated: 2015-07-08 Stable URL: http://hdl.handle.net/10338.dmlcz/702727 .

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