A Posteriori Error Estimates Applied to Flow in a Channel with Corners

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F03%3A02091363" target="_blank" >RIV/68407700:21220/03:02091363 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21110/03:02091363 RIV/61388998:_____/03:00099389

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

A Posteriori Error Estimates Applied to Flow in a Channel with Corners

Popis výsledku v původním jazyce

The paper consists of three parts. In the first part, we investigate a posteriori error estimates for the Stokes and Navier-Stokes equations on two-dimensional polygonal domains. Special attention is paid to the sources of the constants in the estimates,as these play a crucial role in practical applications to adaptive refinements, as we also show. In the second part, we deal with the problem of determining accurately the constants that appear in the estimates. We present a technique for calculating the constant with high accuracy. In the third part, we apply the a posteriori error estimates with the constants found numerically to the technique of adaptive mesh refinement - we solve an incompressible flow problem in a domain with corners that cause singularities in the solution.

Název v anglickém jazyce

A Posteriori Error Estimates Applied to Flow in a Channel with Corners

Popis výsledku anglicky

The paper consists of three parts. In the first part, we investigate a posteriori error estimates for the Stokes and Navier-Stokes equations on two-dimensional polygonal domains. Special attention is paid to the sources of the constants in the estimates,as these play a crucial role in practical applications to adaptive refinements, as we also show. In the second part, we deal with the problem of determining accurately the constants that appear in the estimates. We present a technique for calculating the constant with high accuracy. In the third part, we apply the a posteriori error estimates with the constants found numerically to the technique of adaptive mesh refinement - we solve an incompressible flow problem in a domain with corners that cause singularities in the solution.

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

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2003

Kód důvěrnosti údajů

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

Název periodika

Mathematics and Computers in Simulation

ISSN

0378-4754

e-ISSN

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Svazek periodika

61

Číslo periodika v rámci svazku

3 - 6

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

9

Strana od-do

375-383

Kód UT WoS článku

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EID výsledku v databázi Scopus

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