On error indicators for optimizing parameters in stabilized methods
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10404472" target="_blank" >RIV/00216208:11320/19:10404472 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=l6YaB4uDEa" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=l6YaB4uDEa</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10444-019-09662-4" target="_blank" >10.1007/s10444-019-09662-4</a>
Alternative languages
Result language
angličtina
Original language name
On error indicators for optimizing parameters in stabilized methods
Original language description
Numerical solution of convection-dominated problems requires special techniques to suppress spurious oscillations in approximate solutions. Often, stabilized methods are applied which involve user-chosen parameters. These parameters significantly influence the quality of the solution but their optimal choice is usually not known. One possibility is to define them in an adaptive way by minimizing an error indicator characterizing the quality of the approximate solution. A non-trivial requirement on the error indicator is that its minimization with respect to the stabilization parameters should suppress spurious oscillations without smearing layers. In this paper, a new error indicator is introduced and its suitability is tested on two newly proposed benchmark problems for which previously proposed indicators do not provide satisfactory results.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Computational Mathematics
ISSN
1019-7168
e-ISSN
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Volume of the periodical
45
Issue of the periodical within the volume
4
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
10
Pages from-to
1853-1862
UT code for WoS article
000480573200006
EID of the result in the Scopus database
2-s2.0-85060820036