ADAPTIVE GRIDS IN THE CONTEXT OF ALGEBRAIC STABILIZATIONS FOR CONVECTION-DIFFUSION-REACTION EQUATIONS
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10473255" target="_blank" >RIV/00216208:11320/23:10473255 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=6~Zw9xKaN8" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=6~Zw9xKaN8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/21M1466360" target="_blank" >10.1137/21M1466360</a>
Alternative languages
Result language
angličtina
Original language name
ADAPTIVE GRIDS IN THE CONTEXT OF ALGEBRAIC STABILIZATIONS FOR CONVECTION-DIFFUSION-REACTION EQUATIONS
Original language description
Three algebraically stabilized finite element schemes for discretizing convection-diffusion-reaction equations are studied on adaptively refined grids. These schemes are the algebraic flux correction (AFC) scheme with the Kuzmin limiter, the AFC scheme with the Barrenechea-John-Knobloch limiter, and the recently proposed monotone upwind-type algebraically stabilized method. Both conforming closure of the refined grids and grids with hanging vertices are considered. A nonstandard algorithmic step becomes necessary before these schemes can be applied on grids with hanging vertices. The assessment of the schemes is performed with respect to the satisfaction of the global discrete maximum principle, the accuracy, e.g., smearing of layers, and the efficiency in solving the corresponding nonlinear problems.
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/GA20-01074S" target="_blank" >GA20-01074S: Adaptive methods for the numerical solution of partial differential equations: analysis, error estimates and iterative solvers</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
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 of Scientific Computing
ISSN
1064-8275
e-ISSN
1095-7197
Volume of the periodical
45
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
26
Pages from-to
"B564"-"B589"
UT code for WoS article
001071134200016
EID of the result in the Scopus database
2-s2.0-85171531337