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Guaranteed and fully computable two-sided bounds of Friedrichs' constant

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00391459" target="_blank" >RIV/67985840:_____/13:00391459 - isvavai.cz</a>

  • Result on the web

    <a href="http://users.math.cas.cz/panm/Panm16/proceedings_final/195_vejchodsky.pdf" target="_blank" >http://users.math.cas.cz/panm/Panm16/proceedings_final/195_vejchodsky.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Guaranteed and fully computable two-sided bounds of Friedrichs' constant

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA100190803" target="_blank" >IAA100190803: The finite element method for higher dimensional problems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Programs and Algorithms of Numerical Matematics 16

  • ISBN

    978-80-85823-62-2

  • ISSN

  • e-ISSN

  • Number of pages

    7

  • Pages from-to

    195-201

  • Publisher name

    Institute of Mathematics, Academy of Sciences of the Czech Republic

  • Place of publication

    Prague

  • Event location

    Dolní Maxov

  • Event date

    Jun 3, 2012

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000317994100030