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

Result code in 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>
Alternative codes found
RIV/68407700:21110/03:02091363 RIV/61388998:_____/03:00099389
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
A Posteriori Error Estimates Applied to Flow in a Channel with Corners
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2003
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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