Error estimates for a nonlinear local projection stabilization of transient convection-diffusion-reaction equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10318482" target="_blank" >RIV/00216208:11320/15:10318482 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3934/dcdss.2015.8.901" target="_blank" >http://dx.doi.org/10.3934/dcdss.2015.8.901</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdss.2015.8.901" target="_blank" >10.3934/dcdss.2015.8.901</a>

Result language
angličtina
Original language name
Error estimates for a nonlinear local projection stabilization of transient convection-diffusion-reaction equations
Original language description
A recently proposed local projection stabilization (LPS) finite element method containing a nonlinear crosswind diffusion term is analyzed for a transient convection-diffusion-reaction equation using a one-step theta-scheme as temporal discretization. Both the fully nonlinear method and its semi-implicit variant are considered. Solvability of the discrete problem is established and a priori error estimates in the LPS norm are proved. Uniqueness of the discrete solution is proved for the semi-implicit approach or for sufficiently small time steps.
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
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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