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Complementarity - the way towards guaranteed error estimates

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F10%3A00359319" target="_blank" >RIV/67985840:_____/10:00359319 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Complementarity - the way towards guaranteed error estimates

  • Original language description

    This paper presents a review of the complementary technique with the emphasis on computable and guaranteed upper bounds of the approximation error. For simplicity, the approach is described on a numerical solution of the Poisson problem. We derive the complementary error bounds, prove their fundamentals properties, present the method of hypercircle, mention possible generalizations and show a couple of numerical examples.

  • 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/IAA100760702" target="_blank" >IAA100760702: Methods of higher order of accuracy for solution of multi-physics coupled problems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • 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 Mathematics

  • ISBN

    978-80-85823-57-8

  • ISSN

  • e-ISSN

  • Number of pages

    16

  • Pages from-to

    205-220

  • Publisher name

    MÚ AV ČR, v. v. i.

  • Place of publication

    Praha

  • Event location

    Dolní Maxov

  • Event date

    Jun 6, 2010

  • Type of event by nationality

    CST - Celostátní akce

  • UT code for WoS article