Theory of the space-time discontinuous Galerkin method for nonstationary parabolic problems with nonlinear convection and diffusion
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10129170" target="_blank" >RIV/00216208:11320/12:10129170 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/110828903" target="_blank" >http://dx.doi.org/10.1137/110828903</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/110828903" target="_blank" >10.1137/110828903</a>
Alternative languages
Result language
angličtina
Original language name
Theory of the space-time discontinuous Galerkin method for nonstationary parabolic problems with nonlinear convection and diffusion
Original language description
The paper presents the theory of the space-time discontinuous Galerkin finite element method for the discretization of a nonstationary convection-diffusion initial-boundary value problem with nonlinear convection and nonlinear diffusion. The discontinuous Galerkin method is applied separately in space and time using, in general, different space grids on different time levels and different polynomial degrees p and q in space and time discretization. In the space discretization the nonsymmetric, symmetric, and incomplete interior and boundary penalty approximations of diffusion terms are used. The paper is concerned with the analysis of error estimates in the "L-2(L-2)" - and "DG"-norm formed by the "L-2(H-1)"-seminorm and penalty terms. An important ingredient used in the derivation of the error estimate is the concept of the discrete characteristic function and its properties. In the "DG"-norm the error estimates are optimal with respect to the size of the space grid. They are optimal
Czech name
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Czech description
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Classification
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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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2012
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 on Numerical Analysis
ISSN
0036-1429
e-ISSN
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Volume of the periodical
50
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
26
Pages from-to
1181-1206
UT code for WoS article
000310210700009
EID of the result in the Scopus database
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