A nonlinear local projection stabilization 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%2F13%3A10132931" target="_blank" >RIV/00216208:11320/13:10132931 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-642-33134-3_26" target="_blank" >http://dx.doi.org/10.1007/978-3-642-33134-3_26</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-642-33134-3_26" target="_blank" >10.1007/978-3-642-33134-3_26</a>
Alternative languages
Result language
angličtina
Original language name
A nonlinear local projection stabilization for convection-diffusion-reaction equations
Original language description
We propose a new local projection stabilization (LPS) finite element method for convection-diffusion-reaction equations. The discretization contains a crosswind diffusion term which depends on the unknown discrete solution in a nonlinear way. Consequently, the resulting method is nonlinear. Solvability of the nonlinear problem is established and an a priori error estimate in the LPS norm is proved. Numerical results show that the nonlinear crosswind diffusion term leads to a reduction of spurious oscillations.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F08%2F0012" target="_blank" >GA201/08/0012: Qualitative analysis and numerical solution of flow problems</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Numerical Mathematics and Advanced Applications 2011
ISBN
978-3-642-33133-6
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
237-245
Publisher name
Springer-Verlag
Place of publication
Berlin, Heidelberg
Event location
Leicester, United Kingdom
Event date
Sep 5, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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