Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F14%3A00438696" target="_blank" >RIV/68145535:_____/14:00438696 - isvavai.cz</a>
Result on the web
<a href="http://epubs.siam.org/doi/abs/10.1137/130940268" target="_blank" >http://epubs.siam.org/doi/abs/10.1137/130940268</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/130940268" target="_blank" >10.1137/130940268</a>
Alternative languages
Result language
angličtina
Original language name
Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality
Original language description
This paper is devoted to the streamline diffusion finite element method, combined with equivalent preconditioning, for solving convection-dominated elliptic problems. The preconditioner is obtained from the streamline diffusion inner product. It is proved that the obtained convergence is robust, i.e., bounded independently of the perturbation parameter $/varepsilon$, for proper convection vector fields. The key to the estimates is an improved streamline Poincaré--Friedrichs inequality.
Czech name
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Czech description
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Classification
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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Result continuities
Project
<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM Journal on Numerical Analysis
ISSN
0036-1429
e-ISSN
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Volume of the periodical
52
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
2957-2976
UT code for WoS article
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EID of the result in the Scopus database
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