Original title: Computing upper bounds on Friedrichs' constant
Authors: Vejchodský, Tomáš
Document type: Papers
Conference/Event: Applications of Mathematics 2012, Prague (CZ), 2012-05-02 / 2012-05-05
Year: 2012
Language: eng
Abstract: This contribution shows how to compute upper bounds of the optimal constant in Friedrichs’ and similar inequalities. The approach is based on the method of a prioria posteriori inequalities [9]. However, this method requires trial and test functions with continuous second derivatives. We show how to avoid this requirement and how to compute the bounds on Friedrichs’ constant using standard finite element methods. This approach is quite general and allows variable coefficients and mixed boundary conditions. We use the computed upper bound on Friedrichs’ constant in a posteriori error estimation to obtain guaranteed error bounds.
Keywords: Friedrichs' constant
Project no.: IAA100760702 (CEP)
Funding provider: GA AV ČR
Host item entry: Proceedings of the International Conference Applications of Mathematics 2012, ISBN 978-80-85823-60-8

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: http://www.math.cas.cz/~am2012/proceedings/contributions/vejchodsky.pdf
Original record: http://hdl.handle.net/11104/0209222

Permalink: http://www.nusl.cz/ntk/nusl-112738


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