A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10190483" target="_blank" >RIV/00216208:11320/13:10190483 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1051/m2an/2013071" target="_blank" >http://dx.doi.org/10.1051/m2an/2013071</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/m2an/2013071" target="_blank" >10.1051/m2an/2013071</a>

Result language
angličtina
Original language name
A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations
Original language description
An extension of the local projection stabilization (LPS) finite element method for convection-diffusion-reaction equations is presented and analyzed, both in the steady-state and the transient setting. In addition to the standard LPS method, a nonlinearcrosswind diffusion term is introduced that accounts for the reduction of spurious oscillations. The existence of a solution can be proved and, depending on the choice of the stabilization parameter, also its uniqueness. Error estimates are derived whichare supported by numerical studies. These studies demonstrate also the reduction of the spurious oscillations.
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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Project
<a href="/en/project/GAP201%2F11%2F1304" target="_blank" >GAP201/11/1304: Flow of fluids in domains with variable geometry</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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