Original title:
Fast and Guaranteed a Posteriori Error Estimator
Translated title:
Rychlý a zaručený aposteriorní odhad chyby
Authors:
Vejchodský, Tomáš Document type: Papers Conference/Event: Programs and Algorithms of Numerical Mathematics 12, Dolní Maxov (CZ), 2004-06-06 / 2004-06-11
Year:
2004
Language:
eng Abstract:
[eng][cze] 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 the equilibrated 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.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.
Keywords:
a posteriori error estimator; elliptic problem; equilibrated residual method Project no.: CEZ:AV0Z1019905 (CEP), GP201/04/P021 (CEP) Funding provider: GA ČR Host item entry: Programs and Algorithms of Numerical Mathematics 12, ISBN 80-85823-53-5
Institution: Institute of Mathematics AS ČR
(web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences. Original record: http://hdl.handle.net/11104/0111699