On the stability of finite-element discretizations of convection-diffusion-reaction equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10104795" target="_blank" >RIV/00216208:11320/11:10104795 - isvavai.cz</a>
Result on the web
<a href="http://imajna.oxfordjournals.org/content/31/1/147.full.pdf+html?sid=8b00037f-e8ea-457d-bc4e-615806f95ebb" target="_blank" >http://imajna.oxfordjournals.org/content/31/1/147.full.pdf+html?sid=8b00037f-e8ea-457d-bc4e-615806f95ebb</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/imanum/drp020" target="_blank" >10.1093/imanum/drp020</a>

Result language
angličtina
Original language name
On the stability of finite-element discretizations of convection-diffusion-reaction equations
Original language description
A priori error estimates for the local projection stabilization applied to convection-diffusion-reaction equations are generally based on the coercivity of the underlying bilinear form with respect to the local projection norm. We show that the bilinearform of the local projection stabilization satisfies an inf-sup condition in a stronger norm which is equivalent to that of the streamline upwind/Petrov-Galerkin method. As a consequence we get some insight in the stabilization mechanism of Galerkin discretizations of higher order.
Czech name
—
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
—

Project
<a href="/en/project/GC201%2F07%2FJ033" target="_blank" >GC201/07/J033: Numerical simulation of the interactions between a ferrofluid and an immersed permanent magnet</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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