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Fast and Guaranteed a Posteriori Error Estimator

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F04%3A00023010" target="_blank" >RIV/67985840:_____/04:00023010 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fast and Guaranteed a Posteriori Error Estimator

  • Original language description

    The equilibrated residual method and the method of hypercircle are popular methods for a posteriori error estimation for linear elliptic problems. Both these methods are intended to produce guaranteed upper bounds of the energy norm of the error, but theequilibrated residual method is guaranteed only theoretically. The disadvantage of the hypercircle method is its globality, hence slowness. The combination of these two methods leads to local, hence fast, and guaranteed a posteriori error estimator.

  • Czech name

    Rychlý a zaručený aposteriorní odhad chyby

  • Czech description

    Populárními metodami pro aposteriorní odhady chyby v lineárních eliptických úlohách jsou metoda vyvýžených residuí a metoda hyperkruhu. Obě tyto metody mají dávat zaručenou horní mez energetické normy chyby, ovšem metoda vyvážených residuí je zaručená pouze teoreticky. Nevýhodou metody hyperkruhu je její globálnost a tedy pomalost. Kombinace obou metod vede na lokální, tedy rychlý a zaručený aposteriorní odhad chyby.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GP201%2F04%2FP021" target="_blank" >GP201/04/P021: Adaptive change of the mesh for numerical solution of parabolic partial differential equations</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2004

  • 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 12

  • ISBN

    80-85823-53-5

  • ISSN

  • e-ISSN

  • Number of pages

    16

  • Pages from-to

    257-272

  • Publisher name

    Matematický ústav AV ČR

  • Place of publication

    Praha

  • Event location

    Dolní Maxov

  • Event date

    Jun 6, 2004

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article