Fully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00367487" target="_blank" >RIV/67985840:_____/11:00367487 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s00211-011-0384-1" target="_blank" >http://dx.doi.org/10.1007/s00211-011-0384-1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00211-011-0384-1" target="_blank" >10.1007/s00211-011-0384-1</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Fully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problems

Popis výsledku v původním jazyce

A procedure for the construction of robust, upper bounds for the error in the finite element approximation of singularly perturbed reaction?diffusion problems was presented in Ainsworth and Babuška (SIAM J Numer Anal 36(2):331?353, 1999) which entailed the solution of an infinite dimensional local boundary value problem. It is not possible to solve this problem exactly and this fact was recognised in the above work where it was indicated that the limitation would be addressed in a subsequent article. Weview the present work as fulfilling that promise and as completing the investigation begun in Ainsworth and Babuška (SIAM J Numer Anal 36(2):331?353, 1999) by removing the obligation to solve a local problem exactly. The resulting new estimator is indeed fully computable and the first to provide fully computable, robust upper bounds in the setting of singularly perturbed problems discretised by the finite element method.

Název v anglickém jazyce

Fully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problems

Popis výsledku anglicky

A procedure for the construction of robust, upper bounds for the error in the finite element approximation of singularly perturbed reaction?diffusion problems was presented in Ainsworth and Babuška (SIAM J Numer Anal 36(2):331?353, 1999) which entailed the solution of an infinite dimensional local boundary value problem. It is not possible to solve this problem exactly and this fact was recognised in the above work where it was indicated that the limitation would be addressed in a subsequent article. Weview the present work as fulfilling that promise and as completing the investigation begun in Ainsworth and Babuška (SIAM J Numer Anal 36(2):331?353, 1999) by removing the obligation to solve a local problem exactly. The resulting new estimator is indeed fully computable and the first to provide fully computable, robust upper bounds in the setting of singularly perturbed problems discretised by the finite element method.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2011

Kód důvěrnosti údajů

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

Název periodika

Numerische Mathematik

ISSN

0029-599X

e-ISSN

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Svazek periodika

119

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

25

Strana od-do

219-243

Kód UT WoS článku

000297164000001

EID výsledku v databázi Scopus

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